% -*-BibTeX-*-
%%% Alternative Cyrillic definitions are supplied in the event that
%%% cyracc.def is not loaded.
@Preamble{"\ifx \cedla \undefined \let \cedla = \c \fi" # "\ifx \cyr
\undefined \let \cyr = \relax \fi" # "\ifx \cprime
\undefined \def \cprime {$\mathsurround=0pt '$}\fi" #
"\ifx \prime \undefined \def \prime {'} \fi"}
%-----------------------------------------------------------------------
% Journal abbreviations:
@String{j-ACTA-METALL = "Acta Metallurgica"}
@String{j-ACTA-METALL-MATER = "Acta Metallurgica et Materialia"}
@String{j-ADV-PHYS = "Advances in Physics"}
@String{j-ANN-APPL-PROBAB = "Annals of Applied Probability"}
@String{j-ANN-INST-HENRI-POINCARE-B = "Annales de l'Institut Henri
Poincar{\'e}. Section B, Probabilit{\'e}s et
Statistiques"}
@String{j-ANN-MAT-PURA-APPL-4 = "Annali di Matematica Pura ed Applicata.
Series 4"}
@String{j-ANN-MATH-2 = "Annals of Mathematics (2)"}
@String{j-ANN-PHYS = "Annals of Physics"}
@String{j-ANN-PHYS-1900 = "Annalen der Physik (1900)"}
@String{j-ANN-REV-MATERIAL-SCI = "Annual Review of Materials Science"}
@String{j-ANN-SC-NORM-SUPER-PISA-CL-SCI = "Annali della Scuola Normale
Superiore di Pisa, Classe di Scienze"}
@String{j-APPL-MATH = "Applications of Mathematics"}
@String{j-APPL-MATH-MECH-ENGL-ED = "Applied Mathematics and Mechanics"}
@String{j-APPL-MATH-OPTIM = "Applied Mathematics and Optimization"}
@String{j-APPL-MECH-REV = "Applied Mechanics Reviews"}
@String{j-APPL-PHYS = "Applied Physics"}
@String{j-APPL-PHYS-LET = "Applied Physics Letters"}
@String{j-APPLIC-ANAL = "Applicable Analysis"}
@String{j-ARCH-MECH = "Archives of Mechanics = Archiwum Mechaniki
Stosowanej"}
@String{j-ARCH-RAT-MECH-ANAL = "Archive for Rational Mechanics and
Analysis"}
@String{j-ASYMPTOT-ANAL = "Asymptotic Analysis"}
@String{j-AUTOMATIC-REMOTE-CTL = "Automatic and Remote Control"}
@String{j-BOLL-UNIONE-MAT-ITAL = "Bollettino della Unione Matematica
Italiana"}
@String{j-BULL-AMS = "Bulletin of the American Mathematical
Society"}
@String{j-C-R-ACAD-SCI-PARIS = "Comptes Rendus de l'Acad{\'e}mie des
Sciences, Paris"}
@String{j-C-R-ACAD-SCI-PARIS-SER-AB = "Comptes Rendus Hebdomadaires des
S{\'e}ances de l'Acad{\'e}mie des Sciences.
S{\'e}ries A et B"}
@String{j-C-R-ACAD-SCI-PARIS-SER-I-MATH = "Comptes Rendus des S{\'e}ances de
l'Acad{\'e}mie des Sciences. S{\'e}rie I.
Math{\'e}matique"}
@String{j-CALC-VAR-PARTIAL-DIFFER-EQU = "Calculus of Variations and Partial
Differential Equations"}
@String{j-CALCOLO = "Calcolo"}
@String{j-CAN-J-MATH = "Canadian Journal of Mathematics"}
@String{j-COMM-PARTIAL-DIFF-EQNS = "Communications in Partial Differential
Equations"}
@String{j-COMM-PURE-APPL-MATH = "Communications on Pure and Applied
Mathematics (New York)"}
@String{j-COMMUN-MATH-PHYS = "Communications in Mathematical Physics"}
@String{j-COMP-MECH = "Computational Mechanics"}
@String{j-COMP-STRUCTURES = "Computers and Structures"}
@String{j-COMPUT-MECH = "Computational Mechanics"}
@String{j-COMPUT-METH-APPL-MECH-ENG = "Computer Methods in Applied Mechanics
and Engineering"}
@String{j-CONTIN-MECH-THERMODYN = "Continuum Mechanics and Thermodynamics"}
@String{j-CONTROL-CYBERN = "Control and Cybernetics"}
@String{j-DELFT-PROG-REP = "Delft Progress Report"}
@String{j-DIFFER-URAVN-MINSK-1965 = "Differencial'nye Uravnenija (Minsk,
1965)"}
@String{j-DIN-SPLOS-SREDY = "Dinamika Sploshnoi Sredy"}
@String{j-DOC-MATH = "Documenta Mathematica"}
@String{j-DOKL-AKAD-NAUK = "Doklady Akademii Nauk SSSR"}
@String{j-DUKE-MATH = "Duke Mathematical Journal"}
@String{j-ENG-TRANS = "Engineering Transactions"}
@String{j-EUR-J-APPL-MATH = "European Journal of Applied Mathematics"}
@String{j-EUR-J-MECH-A-SOLIDS = "European Journal of Mechanics, A, Solids."}
@String{j-EW-J-NUM-MATH = "East-West Journal of Numerical Mathematics"}
@String{j-IMA-J-APPL-MATH = "IMA Journal of Applied Mathematics"}
@String{j-IMP-COMP-SCI-ENG = "Impact of Computing in Science and
Engineering"}
@String{j-INT-J-DAMAGE-MECH = "International Journal of Damage Mechanics"}
@String{j-INT-J-ENG-SCI = "International Journal of Engineering
Science"}
@String{j-INT-J-HEAT-MASS-TRANSFER = "International Journal of Heat and Mass
Transfer"}
@String{j-INT-J-NUMER-METHODS-ENG = "International Journal for Numerical
Methods in Engineering"}
@String{j-INT-J-SOLIDS-STRUCT = "International Journal of Solids and
Structures"}
@String{j-INT-SER-NUMER-MATH = "International Series of Numerical
Mathematics = Internationale Schriftenreihe
zur Numerischen Mathematik = S{\'e}rie
Internationale d'Analyse Num{\'e}rique"}
@String{j-INVERSE-PROBLEMS = "Inverse Problems"}
@String{j-ISRAEL-J-MATH = "Israel Journal of Mathematics"}
@String{j-IZV-AKAD-ARM-SSR-MEH = "Izvestiia Akademii Nauk Armianskoi SSR.
Mekhanika = Haykakan SSR Gitut'yunneri
Akademiayi Teghekagir. Mekhanika"}
@String{j-IZV-AKAD-NAUK-SSSR-MAT = "Izvestiia Akademii Nauk. USSR Seriia
Matematicheskaia (Moscow)"}
@String{j-IZV-AKAD-NAUK-SSSR-MEH-TVERD-TELA = "Izvestiia Akademii Nauk SSSR.
Mekhanika Tverdogo Tela"}
@String{j-IZV-ROSS-AKAD-NAUK-SER-MAT = "Izvestiia Rossiiskoi Akademii Nauk.
Seriia Matematicheskaia"}
@String{j-IZV-VYSS-UCEBN-ZAVED-MAT = "Izvestiia Vysshikh Uchebnykh Zavedenii.
Matematika"}
@String{j-J-APPL-MATH-MECH = "Journal of Applied Mathematics and
Mechanics"}
@String{j-J-APPL-MECH = "Journal of Applied Mechanics"}
@String{j-J-APPL-PHYS = "Journal of Applied Physics"}
@String{j-J-CHEM-PHYS = "Journal of Chemical Physics"}
@String{j-J-CONVEX-ANAL = "Journal of Convex Analysis"}
@String{j-J-DIFFER-EQU = "Journal of Differential Equations"}
@String{j-J-DYN-CONTROL-SYST = "Journal of Dynamical and Control Systems"}
@String{j-J-ELAST = "Journal of Elasticity"}
@String{j-J-ENG-MATER-TECHNOL = "Journal of Engineering Materials and
Technology"}
@String{j-J-ENG-MECH = "Journal of Engineering Mechanics"}
@String{j-J-EXP-THEOR-PHYS = "Journal of Experimental and Theoretical
Physics (JETP)"}
@String{j-J-FLUID-MECH = "Journal of Fluid Mechanics"}
@String{j-J-FUNCT-ANAL = "Journal of Functional Analysis"}
@String{j-J-GEOM-ANAL = "Journal of Geometric Analysis"}
@String{j-J-GEOPHYS-RES = "Journal of Geophysical Research"}
@String{j-J-GLOBAL-OPT = "Journal of Global Optimization"}
@String{j-J-MATER-SCI-LETT = "Journal of Materials Science Letters"}
@String{j-J-MATH-ANAL-APPL = "Journal of Mathematical Analysis and
Applications"}
@String{j-J-MATH-MECH = "Journal of Mathematics and Mechanics"}
@String{j-J-MATH-PHYS = "Journal of Mathematical Physics"}
@String{j-J-MATH-PURES-APPL = "Journal de Math{\'e}matiques Pures et
Appliqu{\'e}es"}
@String{j-J-MEC = "Journal de M{\'e}canique"}
@String{j-J-MECH-PHYS-SOLIDS = "Journal of the Mechanics and Physics of
Solids"}
@String{j-J-OPT-THEORY-APPL = "Journal of Optimization Theory and
Applications"}
@String{j-J-PHYS-A = "Journal of Physics A (Mathematical and
General)"}
@String{j-J-PHYS-C = "Journal of Physics C: Solid State Physics"}
@String{j-J-PHYS-D = "Journal of Physics D: Applied Physics"}
@String{j-J-R-AERONAUT-SOC = "Journal of the Royal Aeronautical Society"}
@String{j-J-STAT-PHYS = "Journal of Statistical Physics"}
@String{j-J-STRUCT-MECH = "Journal of Structural Mechanics"}
@String{j-J-THERM-STRESS = "Journal of Thermal Stresses"}
@String{j-JAPAN-J-MATH-N-S = "Japanese Journal of Mathematics. New
Series"}
@String{j-LATV-MAT-EZEG = "Latviiskii Matematicheskii Ezhegodnik"}
@String{j-LECT-NOTES-PHYSICS = "Lecture Notes in Physics"}
@String{j-LINEAR-ALGEBRA-APPL = "Linear Algebra and its Applications"}
@String{j-MANUSCR-MATH = "Manuscripta Mathematica"}
@String{j-MAT-SB = "Matematicheskii Sbornik"}
@String{j-MAT-SB-MOSK = "Matematicheskii Sbornik / Izdavaemyi
Moskovskim Matematicheskim Obshchestvom =
Recueil Math{\'e}matique de la
Soci{\'e}t{\'e} Math{\'e}matique de Moscou"}
@String{j-MAT-ZAMETKI = "Matematicheskie Zametki"}
@String{j-MATH-COMP-MODELLING = "Mathematical and Computer Modelling"}
@String{j-MATH-COMPUT = "Mathematics of Computation"}
@String{j-MATH-MECH-SOLIDS = "Mathematics and Mechanics of Solids : MMS"}
@String{j-MATH-MODEL-NUM-ANA = "Mathematical Modelling and Numerical
Analysis = Modelisation Math{\'e}matique et
Analyse Num{\'e}rique: $M^2AN$"}
@String{j-MATH-MODELS-METHODS-APPL-SCI = "Mathematical Models and Methods in
Applied Sciences"}
@String{j-MATH-NACHR = "Mathematische Nachrichten"}
@String{j-MATH-PROG = "Mathematical Programming"}
@String{j-MECCANICA-MILAN = "Meccanica (Milan)"}
@String{j-MECH-MATER = "Mechanics of Materials: An International
Journal"}
@String{j-MECH-RESEARCH-COMM = "Mechanics Research Communications"}
@String{j-MECH-SOLIDS = "Mechanics of Solids"}
@String{j-MECHAN-STRUCT-MACH = "Mechanics of Structures and Machines"}
@String{j-METALL-TRANS-A-PHYS-METALL-MATER-SCI = "Metallurgical Transactions.
A, Physical Metallurgy and Materials
Science"}
@String{j-NAMS = "Notices of the American Mathematical
Society"}
@String{j-NATURE = "Nature"}
@String{j-NONLINEAR-ANAL = "Nonlinear Analysis, Theory, Methods and
Applications"}
@String{j-NUM-MATH = "Numerische Mathematik"}
@String{j-NUMER-FUNCT-ANAL-OPTIM = "Numerical Functional Analysis and
Optimization"}
@String{j-OPT-CTL-APPL-METH = "Optimal Control Applications and Methods"}
@String{j-OPTIMIZATION = "Optimization"}
@String{j-OPTIMIZATSIIA = "Optimizatsiya"}
@String{j-PAC-J-MATH = "Pacific Journal of Mathematics"}
@String{j-PHIL-MAGAZINE = "Philosophical Magazine"}
@String{j-PHILOS-TRANS-R-SOC-LOND = "Philosophical Transactions of the Royal
Society of London"}
@String{j-PHILOS-TRANS-R-SOC-LOND-SER-A = "Philosophical Transactions of the
Royal Society of London Series A"}
@String{j-PHYS-FLUIDS = "Physics of Fluids"}
@String{j-PHYS-LET-A = "Physics Letters A"}
@String{j-PHYS-REP = "Physics Reports"}
@String{j-PHYS-REV = "Physical Review"}
@String{j-PHYS-REV-A = "Physical Review A (Atomic, Molecular, and
Optical Physics)"}
@String{j-PHYS-REV-B = "Physical Review B (Solid State)"}
@String{j-PHYS-REV-LET = "Physical Review Letters"}
@String{j-PHYS-STATUS-SOLIDI = "Physica Status Solidi"}
@String{j-PHYS-STATUS-SOLIDI-B-BASIC-RES = "Physica Status Solidi. B, Basic
Research"}
@String{j-PHYSICA = "Physica"}
@String{j-PHYSICA-D = "Physica. D, Nonlinear Phenomena"}
@String{j-POTENTIAL-ANAL = "Potential Analysis: An International
Journal Devoted to the Interactions between
Potential Theory, Probability Theory,
Geometry and Functional Analysis"}
@String{j-PRIKL-MAT-MEH = "Prikladnaia Matematika i Mekhanika (PMM)=
Applied Mathematics and Mechanics"}
@String{j-PRIKL-PROBLEMY-PROCH-I-PLAST = "Gor{\cprime}kovski\u\i\
Gosudarstvenny\u\i\ Universitet imeni N. I.
Lobachevskogo. Prikladnye Problemy
Prochnosti i Plastichnosti"}
@String{j-PROB-ENG-MECH = "Probabilistic Engineering Mechanics"}
@String{j-PROBAB-THEORY-RELAT-FIELDS = "Probability Theory and Related Fields"}
@String{j-PROC-AM-MATH-SOC = "Proceedings of the American Mathematical
Society"}
@String{j-PROC-LONDON-MATH-SOC = "Proceedings of the London Mathematical
Society. Third Series"}
@String{j-PROC-NATL-ACAD-SCI-USA = "Proceedings of the National Academy of
Sciences of the United States of America"}
@String{j-PROC-R-SOC-EDINB = "Proceedings of the Royal Society of
Edinburgh"}
@String{j-PROC-R-SOC-EDINB-SECT-A-MATH = "Proceedings of the Royal Society of
Edinburgh. Section A, Mathematical and
Physical Sciences"}
@String{j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI = "Proceedings of the Royal
Society of London. Series A, Mathematical
and Physical Sciences"}
@String{j-PROC-STEKLOV-INST-MATH = "Trudy Matematicheskogo Instituta imeni V.
A. Steklova = Proceedings of the Steklov
Institute of Mathematics"}
@String{j-QUART-APPL-MATH = "Quarterly of Applied Mathematics"}
@String{j-QUART-J-MECH-APPLIED-MATH = "Quarterly Journal of Mechanics and
Applied Mathematics"}
@String{j-REND-MAT-APPL-1981 = "Rendiconti di Matematica e Delle Sue
Applicazioni (1981)"}
@String{j-REV-GEOPHYS-SPACE-PHYS = "Reviews of Geophysics and Space Physics"}
@String{j-RIC-MAT = "Ricerche di Matematica (Napoli)"}
@String{j-ROCKY-MOUNTAIN-J-MATH = "Rocky Mountain Journal of Mathematics"}
@String{j-RUSS-J-MATH-PHYS = "Russian Journal of Mathematical Physics"}
@String{j-RUSS-J-NUM-ANAL-MATH-MODEL = "Russian Journal of Numerical Analysis
and Mathematical Modelling"}
@String{j-RUSS-MATH-SURV = "Russian Mathematical Surveys"}
@String{j-SCR-METALL = "Scripta Metallurgica"}
@String{j-SET-VALUED-ANAL = "Set-Valued Analysis"}
@String{j-SIAM-J-APPL-MATH = "SIAM Journal on Applied Mathematics"}
@String{j-SIAM-J-CONTROL = "SIAM Journal on Control"}
@String{j-SIAM-J-CONTROL-OPTIM = "SIAM Journal on Control and Optimization"}
@String{j-SIAM-J-MATH-ANA = "SIAM Journal on Mathematical Analysis"}
@String{j-SIAM-J-NUMER-ANAL = "SIAM Journal on Numerical Analysis"}
@String{j-SIAM-J-OPT = "SIAM Journal on Optimization"}
@String{j-SIB-MAT-Z = "Sibirskii Matematicheskii Zhurnal"}
@String{j-SIBERIAN-ADV-MATH = "Siberian Advances in Mathematics"}
@String{j-SOLID-STATE-PHYS-N-Y-1955 = "Solid State Physics (New York. 1955)"}
@String{j-SOV-PHYS-JETP = "Soviet Physics, JETP"}
@String{j-SOV-PHYS-SOLID-STATE = "Soviet Physics, Solid State"}
@String{j-SOVIET-MATH-DOKL = "Soviet Mathematics. Doklady"}
@String{j-SOVIET-PHYS-DOKL = "Soviet Physics---Doklady"}
@String{j-STRUCT-OPTIM = "Structural Optimization"}
@String{j-UKR-MAT-Z = "Ukrainskii Matematicheskii Zhurnal"}
@String{j-USP-MEH = "Uspekhi Mekhaniki = Advances in Mechanics"}
@String{j-WASSERWIRTSCHAFT = "Wasserwirtschaft"}
@String{j-WAVE-MOTION = "Wave Motion"}
@String{j-Z-ANAL-ANWEND = "Zeitschrift f{\"u}r Analysis und ihre
Anwendungen"}
@String{j-Z-ANGE-MATH-MECH = "Zeitschrift f{\"u}r Angewandte Mathematik
und Mechanik"}
@String{j-Z-EKSP-TEOR-FIZ = "Zhurnal Eksperimental'noi i Teoreticheskoi
Fiziki / Akademiia Nauk SSSR"}
@String{j-Z-TEH-FIZ = "Zhurnal Tehniceskoj Fiziki"}
@String{j-Z-VYCISL-MAT-MAT-FIZ = "Zhurnal Vychislitel'noi Matematiki i
Matematicheskoi Fiziki"}
@String{j-ZAP-NAUC-SEMIN-LENINGR-OTD-ORDENA = "Zapiski Nauchnogo Seminara LOMI"}
%-----------------------------------------------------------------------
% Publisher abbreviations:
@String{pub-A-K-PETERS = "A. K. Peters, Ltd."}
@String{pub-A-K-PETERS:adr = "Wellesley, MA"}
@String{pub-AMS = "American Mathematical Society"}
@String{pub-AMS:adr = "Providence, RI"}
@String{pub-AP = "Academic Press"}
@String{pub-AP:adr = "New York"}
@String{pub-BIRKHAUSER = "Birkh{\"a}user Verlag"}
@String{pub-BIRKHAUSER-BOSTON = "Birkh{\"a}user Boston Inc."}
@String{pub-BIRKHAUSER-BOSTON:adr = "Cambridge, MA"}
@String{pub-BIRKHAUSER:adr = "Basel, Switzerland"}
@String{pub-CHAPMAN-HALL = "Chapman and Hall, Ltd."}
@String{pub-CHAPMAN-HALL:adr = "London"}
@String{pub-CLARENDON-PRESS = "Clarendon Press"}
@String{pub-CLARENDON-PRESS:adr = "Oxford, UK"}
@String{pub-CRC = "CRC Press"}
@String{pub-CRC:adr = "2000 N.W. Corporate Blvd., Boca Raton, FL
33431-9868"}
@String{pub-CUP = "Cambridge University Press"}
@String{pub-CUP:adr = "Cambridge, UK"}
@String{pub-DOVER = "Dover Publications, Inc."}
@String{pub-DOVER:adr = "New York"}
@String{pub-DUNOD = "Dunod"}
@String{pub-DUNOD:adr = "Paris, France"}
@String{pub-EH = "Ellis Horwood Ltd."}
@String{pub-EH:adr = "New York"}
@String{pub-ELS = "Elsevier"}
@String{pub-ELS:adr = "Amsterdam, The Netherlands"}
@String{pub-EYROLLES = "Eyrolles"}
@String{pub-EYROLLES:adr = "Paris, France"}
@String{pub-GRUYTER = "Walter de Gruyter"}
@String{pub-GRUYTER:adr = "New York, USA and Berlin, Germany"}
@String{pub-INTERSCI = "Interscience Publishers"}
@String{pub-INTERSCI:adr = "New York"}
@String{pub-KLUWER = "Kluwer Academic Publishers Group"}
@String{pub-KLUWER:adr = "Dordrecht. Boston. London"}
@String{pub-LONGMAN = "Longman Scientific and Technical"}
@String{pub-LONGMAN:adr = "Harlow, Essex, UK"}
@String{pub-MACMILLAN = "MacMillan Publishing Company"}
@String{pub-MACMILLAN:adr = "New York"}
@String{pub-MASSON = "Masson Editeur"}
@String{pub-MASSON:adr = "Masson, France"}
@String{pub-MCGRAW-HILL = "Mc{\-}Graw-Hill"}
@String{pub-MCGRAW-HILL:adr = "New York"}
@String{pub-MIR = "Mir Publishers"}
@String{pub-MIR:adr = "Moscow, Russia"}
@String{pub-NAUKA = "Nauka"}
@String{pub-NAUKA:adr = "Moscow, Russia"}
@String{pub-NH = "North-Holland Publishing Co."}
@String{pub-NH:adr = "Amsterdam, The Netherlands"}
@String{pub-OXFORD = "Oxford University Press"}
@String{pub-OXFORD:adr = "Walton Street, Oxford OX2 6DP, UK"}
@String{pub-PERGAMON = "Pergamon"}
@String{pub-PERGAMON:adr = "New York"}
@String{pub-PH = "Pren{\-}tice-Hall"}
@String{pub-PH:adr = "Upper Saddle River, NJ 07458"}
@String{pub-PITMAN = "Pitman Publishing Ltd."}
@String{pub-PITMAN:adr = "London"}
@String{pub-PLENUM = "Plenum Press"}
@String{pub-PLENUM:adr = "New York; London"}
@String{pub-PRINCETON = "Princeton University Press"}
@String{pub-PRINCETON:adr = "Princeton, NJ"}
@String{pub-SIAM = "SIAM Press"}
@String{pub-SIAM:adr = "Philadelphia, PA"}
@String{pub-SPIE = "SPIE Optical Engineering Press"}
@String{pub-SPIE:adr = "Bellingham, WA"}
@String{pub-SV = "Springer-Verlag"}
@String{pub-SV:adr = "Berlin; Heidelberg; London; etc."}
@String{pub-TEUBNER = "Teubner"}
@String{pub-TEUBNER:adr = "Stuttgart; Leipzig"}
@String{pub-U-CHICAGO = "University of Chicago Press"}
@String{pub-U-CHICAGO:adr = "Chicago, IL"}
@String{pub-WCP = "Wellesley-Cambridge Press"}
@String{pub-WCP:adr = "Wellesley, MA"}
@String{pub-WI = "Wiley-In{\-}ter{\-}sci{\-}ence"}
@String{pub-WI:adr = "New York"}
@String{pub-WILEY = "John Wiley and Sons"}
@String{pub-WILEY:adr = "New York; London; Sydney"}
@String{pub-WORLD-SCI = "World Scientific Publishing Co."}
@String{pub-WORLD-SCI:adr = "Singapore; Philadelphia; River Edge, NJ"}
%-----------------------------------------------------------------------
% Bibliography entries, sorted by citation label:
@Book{Abramowitz:1965:HMF,
author = "M. Abramowitz and I. A. Stegun",
title = "Handbook of Mathematical Functions with Formulas,
Graphs, and Mathematical Tables",
publisher = pub-DOVER,
address = pub-DOVER:adr,
pages = "xiv + 1046",
year = "1965",
LCCN = "QA47.A161 1972; QA 55 A16h 1972",
}
@Article{Achtziger:1992:EDB,
author = "W. Achtziger and M. P. Bend\-s{\o}e and A. {Ben-Tal}
and J. Zowe",
title = "Equivalent displacement based formulations for maximum
strength truss topology design",
journal = j-IMP-COMP-SCI-ENG,
volume = "4",
number = "4",
pages = "315--345",
year = "1992",
CODEN = "ICOEEK",
ISSN = "0899-8248",
fjournal = "Impact of Computing in Science and Engineering",
}
@Article{Achtziger:1998:BEP,
author = "W. Achtziger and M. P. Bend\-s{\o}e and J. E. Taylor",
title = "Bounds on the effect of progressive structural
degradation",
journal = j-J-MECH-PHYS-SOLIDS,
volume = "46",
number = "6",
pages = "1055--1087",
year = "1998",
CODEN = "JMPSA8",
ISSN = "0022-5096",
fjournal = "Journal of the Mechanics and Physics of Solids",
}
@Book{Akhiezer:1962:CV,
author = "N. Akhiezer",
title = "The calculus of variations",
publisher = "Blaisdell Publishing Co. (A Division of Random House,
Inc.)",
address = "New York; London",
pages = "viii + 248",
year = "1962",
note = "Translated from the Russian by Aline H. Frink. A
Blaisdell Book in the Pure and Applied Sciences.",
}
@Article{Allaire:1993:EOB,
author = "G. Allaire and R. V. Kohn",
title = "Explicit optimal bounds on the elastic energy of a
two-phase composite in two space dimensions",
journal = j-QUART-APPL-MATH,
volume = "LI",
number = "4",
pages = "675--699",
month = dec,
year = "1993",
CODEN = "QAMAAY",
ISSN = "0033-569X",
}
@Article{Allaire:1993:HNP,
author = "G. Allaire and F. Murat",
title = "Homogenization of the {Neumann} problem with
nonisolated holes",
journal = j-ASYMPTOT-ANAL,
volume = "7",
number = "2",
pages = "81--95",
year = "1993",
CODEN = "ASANEZ",
ISSN = "0921-7134",
note = "With an appendix written jointly with A. K.
Nandakumar.",
fjournal = "Asymptotic Analysis",
}
@Article{Allaire:1993:OBE,
author = "G. Allaire and R. V. Kohn",
title = "Optimal bounds on the effective behavior of a mixture
of two well-ordered elastic materials",
journal = j-QUART-APPL-MATH,
volume = "LI",
number = "4",
pages = "643--674",
month = dec,
year = "1993",
CODEN = "QAMAAY",
ISSN = "0033-569X",
}
@Article{Allaire:1993:ODM,
author = "G. Allaire and R. V. Kohn",
title = "Optimal design for minimum weight and compliance in
plane stress using extremal microstructures",
journal = j-EUR-J-MECH-A-SOLIDS,
volume = "12",
number = "6",
pages = "839--878",
year = "1993",
CODEN = "EJASEV",
ISSN = "0997-7538",
}
@TechReport{Allaire:1993:TSC,
author = "G. Allaire and A. Braides and G. Buttazzo and A.
Defranceschi and L. V. Gibiansky",
title = "Two-Scale Convergence and Homogenization of Periodic
Structures",
number = "Ref. 140/93/M",
institution = "SISSA ISAS",
year = "1993",
abstract = "Asymptotic analysis of periodic structures; two-scale
convergence; homogenization of a second order elliptic
equation; application to fluid flow in porous media;
estimate of the pressure in a porous medium",
}
@TechReport{Allaire:1994:MSC,
author = "G. Allaire and M. Briane",
title = "Multi-scale convergence and reiterated
homogenization",
institution = "Publications du Laboratoire d'Analyse Num{\'e}rique",
year = "1994",
abstract = "This paper generalizes the notion of two-scale
convergence to the case of multiple se\-parat\-ed
scales of periodic oscillations. It allows to introduce
a multi-scale convergence method for the reiterated
homogenization of partial differential equations with
oscillating coefficients. This new method is applied to
a model problem with a finite or infinite numer of
microscopic scales, namely the homogenization of the
heat equation in a composite material. Finally, it is
generalized to handle the homogenization of the
{Neumann} problem in a perforated domain.",
}
@Article{Allaire:1994:OLB,
author = "G. Allaire and R. V. Kohn",
title = "Optimal lower bounds on the elastic energy of a
composite made from two non well-ordered isotropic
materials",
journal = j-QUART-APPL-MATH,
volume = "LII",
number = "2",
pages = "311--333",
year = "1994",
CODEN = "QAMAAY",
ISSN = "0033-569X",
}
@Article{Allaire:1997:SOH,
author = "G. Allaire and E. Bonnetier and G. A. Francfort and F.
Jouve",
title = "Shape optimization by the homogenization method",
journal = j-NUM-MATH,
volume = "76",
number = "1",
pages = "27--68",
year = "1997",
CODEN = "NUMMA7",
ISSN = "0029-599X",
fjournal = "Numerische Mathematik",
}
@Article{Allaire:19xx:BWH,
author = "G. Allaire and C. Conca",
fullauthor = "G. Allaire and Carlos Conca",
title = "{Bloch} Wave Homogenization for a Spectral Problem in
Fluid-Solid Structures",
journal = j-ARCH-RAT-MECH-ANAL,
volume = "??",
number = "??",
pages = "??--??",
month = "??",
year = "19xx",
CODEN = "AVRMAW",
ISSN = "0003-9527",
note = "To appear.",
abstract = "This paper is concerned with the study of the
vibrations of a model of a coupled fluid-solid periodic
structure. As the period goes to zero, an asymptotic
analysis of the spectrum (i.e., the set of
eigenfrequencies) is performed. By introducing a new
method, the so-called Block wave homogenization method
(which is a blend of two-scale convergence and {Bloch}
wave decomposition), the limit spectrum is completely
characterized. It is made of a macroscopic or
homogenized part, and of a microscopic or {Bloch} wave
part. The main feature of the limit spectrum is that it
is purely essential, and mainly continuous.",
keywords = "homogenization, {Bloch} waves, spectral analysis,
fluid-solid structures",
}
@InCollection{Armand:1984:OCT,
author = "{J.-L}. Armand and K. A. Lurie and A. V. Cherkaev",
editor = "E. Atrek and R. H. Gallagher and K. M. Ragsdell and O.
C. Zienkeiwicz",
booktitle = "New Directions in optimal structural design",
title = "Optimal control theory and structural design",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "211--229",
year = "1984",
}
@InCollection{Arora:1998:OSS,
author = "J. S. Arora",
editor = "C. T. Leondes",
booktitle = "Structural Dynamical Systems: Computational
Technologies and Optimization",
title = "Optimization of Structures subject to dynamical
loads",
publisher = "Gordon and Breach Science Publ.",
pages = "1--73",
year = "1998",
}
@Book{Arthurs:1980:CVP,
author = "A. M. Arthurs",
title = "Complementary variational principles",
publisher = pub-CLARENDON-PRESS,
address = pub-CLARENDON-PRESS:adr,
edition = "Second",
pages = "vii + 154 + (loose errata)",
year = "1980",
ISBN = "0-19-853532-5",
note = "Oxford Mathematical Monographs.",
}
@Article{Artola:1995:RUP,
author = "M. Artola and L. Tartar",
title = "Un r{\'e}sultat d'unicit{\'e} pour une classe de
probl{\`e}mes paraboliques quasi-lin{\'e}aires",
journal = j-RIC-MAT,
volume = "44",
number = "2",
pages = "409--420",
year = "1995",
CODEN = "RCMTAE",
ISSN = "0035-5038",
fjournal = "Ricerche di Matematica",
xxyear = "1996",
}
@Article{Asaro:1975:NUT,
author = "R. J. Asaro and D. M. Barnett",
title = "The non-uniform transformation strain problem for an
anisotropic ellipsoidal inclusion",
journal = j-J-MECH-PHYS-SOLIDS,
volume = "23",
pages = "77--83",
year = "1975",
CODEN = "JMPSA8",
ISSN = "0022-5096",
}
@Article{Ashby:1991:ONM,
author = "M. F. Ashby",
title = "Overview {No}. 92: {Materials} and shape",
journal = j-ACTA-METALL-MATER,
volume = "39",
number = "6",
pages = "1025--1039",
year = "1991",
CODEN = "AMATEB",
ISSN = "0956-7151",
}
@Article{Astala:1998:QMT,
author = "K. Astala and M. Miettinen",
title = "On quasiconformal mappings and $2$-dimensional
${G}$-closure problems",
journal = j-ARCH-RAT-MECH-ANAL,
volume = "143",
number = "3",
pages = "207--240",
year = "1998",
CODEN = "AVRMAW",
ISSN = "0003-9527",
fjournal = "Archive for Rational Mechanics and Analysis",
}
@Book{Atkin:1990:ITE,
author = "R. J. Atkin and N. Fox",
title = "An Introduction to the Theory of Elasticity",
publisher = "Longman",
address = "London",
year = "1990",
}
@Article{Auriault:1994:MMH,
author = "J.-L. Auriault and H. I. Ene",
title = "Macroscopic modelling of heat transfer in composites
with interfacial thermal barrier",
journal = j-INT-J-HEAT-MASS-TRANSFER,
volume = "37",
number = "18",
pages = "2885--2892",
year = "1994",
CODEN = "IJHMAK",
ISSN = "0017-9310",
abstract = "Macroscopic modelling of heat transfer in composites
in the presence of interfacial thermal resistance is
determined from a description at the heterogeneity
scale using a method of double-scaled asymptotic
developments. The analysis shows five different models.
Their domains of validity are defined by the value of a
dimensionless parameter. That permits the determination
of the correct model for a given macroscopic boundary
value problem. The models for a binary composite are
shown to belong to two main types: one-temperature and
two-temperature field models.",
}
@Article{Avellaneda:1987:IHD,
author = "M. Avellaneda",
title = "Iterated homogenization, differential effective medium
theory, and applications",
journal = j-COMM-PURE-APPL-MATH,
volume = "40",
pages = "803--847",
year = "1987",
CODEN = "CPAMAT, CPMAMV",
ISSN = "0010-3640",
}
@Article{Avellaneda:1987:OBM,
author = "M. Avellaneda",
title = "Optimal Bounds and Microgeometries for Elastic
Two-Phase Composites",
journal = j-SIAM-J-APPL-MATH,
volume = "47",
number = "6",
pages = "1216--1228",
year = "1987",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
}
@Article{Avellaneda:1988:ECP,
author = "M. Avellaneda and A. V. Cherkaev and K. A. Lurie and
G. W. Milton",
title = "On the effective conductivity of polycrystals and a
three-dimensional phase interchange inequality",
journal = j-J-APPL-PHYS,
volume = "63",
pages = "4989--5003",
year = "1988",
CODEN = "JAPIAU",
ISSN = "0021-8979",
}
@InProceedings{Avellaneda:1989:BEE,
author = "M. Avellaneda and G. W. Milton",
editor = "D. Hui and T. J. Kozik",
booktitle = "Composite {Material Technology}",
title = "Bounds on the Effective Elastic Tensor of Composites
based on Two-Point Correlations",
publisher = "ASME",
address = "",
pages = "89--93",
month = "",
year = "1989",
}
@Article{Avellaneda:1989:OBE,
author = "M. Avellaneda and G. W. Milton",
title = "Optimal bounds on the effective bulk modulus of
polycrystals",
journal = j-SIAM-J-APPL-MATH,
volume = "49",
number = "3",
pages = "824--837",
year = "1989",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
fjournal = "SIAM Journal on Applied Mathematics",
}
@Article{Avellaneda:1990:ECA,
author = "M. Avellaneda and O. Bruno",
title = "Effective conductivity and average polarizability of
random polycrystals",
journal = j-J-MATH-PHYS,
volume = "31",
number = "8",
pages = "2047--2056",
year = "1990",
CODEN = "JMAPAQ",
ISSN = "0022-2488",
MRnumber = "MR91f:82070",
fjournal = "Journal of Mathematical Physics",
}
@Article{Avellaneda:1996:CCP,
author = "M. Avellaneda and A. V. Cherkaev and L. V. Gibiansky
and G. W. Milton and M. Rudelson",
title = "A complete characterization of the possible bulk and
shear moduli of planar polycrystals",
journal = j-J-MECH-PHYS-SOLIDS,
volume = "44",
number = "7",
pages = "1179--1218",
month = "????",
year = "1996",
CODEN = "JMPSA8",
ISSN = "0022-5096",
bibdate = "Thu Oct 9 14:38:29 MDT 1997",
acknowledgement = ack-nhfb,
searchkey = "au:cherkaev, a",
}
@TechReport{B.e:1993:CPD,
author = "M. B.e and A. Damlamian and P. Donato",
title = "${H}$-convergence for perforated domains",
institution = "Publications du Laboratoire d'Analyse Num{\'e}rique,
Universit{\'e} Pierre et Marie Curie",
year = "1993",
abstract = "In this paper, the $H$-convergence of F. Murat and L.
Tartar is extended to the case of perforated materials.
This extension is denoted $H^0$-convergence. The main
properties of H-convergence are then shown to hold for
$H^0$-convergence, including the compactness theorem.
Also, P. Donato's estimate for the difference of two
H-limits is generalized to this case, in which the
measure of the symmetric difference of the two families
of holes appears. Finally, an $H^0$-convergence result
is obtained for a material perforated by a B.e
(non-periodic) lattice of spherical holes: an explicit
formula for the $H^0$-limit is given which generalizes
the result of D. Cioranescu and J. Saint Jean Paulin
for the periodic case.",
}
@Article{B.e:1993:TMN,
author = "M. B.e",
title = "Three Models of Non Periodic Fibrous Materials
Obtained by Homogenization",
journal = j-MATH-MODEL-NUM-ANA,
volume = "27",
number = "6",
pages = "759--775",
year = "1993",
CODEN = "RMMAEV",
ISSN = "0764-583X",
abstract = "We describe here three models of fibrous materials in
conduction (the results apply as well in elasticity).
The fibers are not periodically arranged but their
orientation varies continuously in the material. The
human heart is an example of such a material. The
models are obtained through the homogenization of the
fibrous structure.",
}
@Article{Backus:1962:LWE,
author = "G. E. Backus",
title = "Long-wave elastic anisotropy produced by horizontal
layering",
journal = j-J-GEOPHYS-RES,
volume = "67",
pages = "4427--4440",
year = "1962",
CODEN = "JGREA2",
ISSN = "0148-0227",
}
@Article{Backus:1970:LWE,
author = "G. E. Backus",
title = "A geometrical picture of anisotropic elastic tensors",
journal = j-REV-GEOPHYS-SPACE-PHYS,
volume = "8",
pages = "633--671",
year = "1970",
CODEN = "RGPSBL",
ISSN = "0034-6853",
}
@Article{Baker:1968:SRI,
author = "G. A. Baker",
title = "Some rigorous inequalities satisfied by the
ferromagnetic {Ising} model in a magnetic field",
journal = j-PHYS-REV-LET,
volume = "20",
pages = "990--992",
year = "1968",
CODEN = "PRLTAO",
ISSN = "0031-9007",
}
@Book{Bakhvalov:1989:HAP,
author = "N. S. Bakhvalov and G. P. Panasenko",
title = "Homogenization: Averaging Processes in Periodic
Media",
publisher = pub-KLUWER,
address = "Dordrecht/Boston/London",
year = "1989",
}
@Article{Bakhvalov:1990:NIA,
author = "N. S. Bakhvalov and A. Knyazev",
title = "A new iterative algorithm for solving problems of the
fictitious flow method for elliptic equations",
journal = j-SOVIET-MATH-DOKL,
volume = "41",
number = "3",
pages = "481--485",
year = "1990",
ISSN = "0197-6788",
}
@Article{Bakhvalov:1991:ECA,
author = "N. S. Bakhvalov and A. Knyazev",
title = "Efficient computation of averaged characteristics of
composites of a periodic structure of essentially
different materials",
journal = j-SOVIET-MATH-DOKL,
volume = "42",
number = "1",
pages = "57--62",
year = "1991",
ISSN = "0197-6788",
}
@InCollection{Bakhvalov:1991:MEC,
author = "N. S. Bakhvalov and A. Knyazev",
editor = "G. I. Marchuk",
booktitle = "Computational Processes and Systems, No. 8",
title = "Methods of effective computation of homogenized
properties for the composites with a periodic structure
which consist of essentially different components",
publisher = pub-NAUKA,
address = "Moscow",
pages = "52--94",
year = "1991",
note = "In Russian.",
comment = "Methods for the effective computation of averaged
characteristics of composites of periodic structure
consisting of essentially different materials",
}
@Article{Bakhvalov:1992:EIM,
author = "N. S. Bakhvalov and A. Knyazev",
title = "An efficient iterative method for solving the
{Lam{\'e}} equations for almost incompressible media
and {Stokes}' equations",
journal = j-SOVIET-MATH-DOKL,
volume = "44",
number = "1",
pages = "4--9",
year = "1992",
ISSN = "0197-6788",
}
@InProceedings{Bakhvalov:1994:FDM,
author = "N. S. Bakhvalov and A. Knyazev",
editor = "G. I. Marchuk",
booktitle = "Numerical Methods and Applications",
title = "Fictitious domain methods and computation of
homogenized properties of composites with a periodic
structure of essentially different components",
publisher = pub-CRC,
address = "Boca Raton",
pages = "221--276",
year = "1994",
abstract = "There are many important physical problems that can be
modeled using partial differential equations (PDE) with
discontinuous coefficients. Drops of the coefficients
may be very large. We consider one class of those
problems concerning composites of essentially different
components. Composites or composite materials are said
to be media with a large number of non homogeneous
inclusions with small sizes at least along one
direction. Stationary states of that media is described
by elliptic PDE with highly oscillated coefficients.
The homogenization is said to be a process of finding
such homogeneous coefficients that a solution of
original PDE can be approximated by the solution of the
same PDE, but with these new homogeneous coefficients
instead of old highly oscillated coefficients.
Computation of homogenized coefficients of composites
with periodic structure reduces to solving a series of
periodic boundary value problem for the original PDE in
the domain, called cell, of periodicity. For composites
of essentially different components the coefficients of
the PDE in the domain of periodicity are discontinuous
and have big jumps. Another important source of PDE
with jumps of coefficients is Fictitious Domain Method.
In this method the original boundary value problem for
PDE is changed for a new boundary value problem in a
domain that covers the original one. In the new
fictitious part of the domain the coefficients of PDE
are chosen about zero for {Neumann} original boundary
conditions or very large for {Dirichlet} original
boundary conditions, such that a solution of the new
problem approximates or, even, coincides with the
desired solution. Therefore, the fictitious domain
methods makes possible to ``improve'' the shape of the
original boundary, but leads to a PDE with very large
jumps of coefficients. We consider here a nonstandard
variant of the fictitious domain method, namely, with
periodic boundary conditions on the fictitious
boundary. For this variant the problem produced by the
fictitious domain method looks exactly like a problem
produced by the homogenization procedure we were
talking about, i.e., that is a periodic boundary value
problem in a cube for elliptic PDE with discontinuous
coefficients that can achieve, in limit cases, zero or
infinitely large values. There are several different
difficulties associated with numerical solution of
those problems. In the present paper we consider only
one of them, concerned with the rate of convergence of
preconditioned iterative methods. It is well known,
that, typically, the larger is the jumps of
coefficient, the slower is the convergence. Our main
goal is to prove, that with a special initial guess the
rate of convergence does not depend on the value of the
jumps. We do not touch here the mesh approximations of
our PDE, but we can expect that for some natural types
of approximations all our results still hold and the
rate of convergence does not depend of the mesh size
parameter as well. The central idea of the proof is
that with the special initial guess errors of all
iterative steps belong to a subspace and in this
subspace our problem is well posed independently of the
jumps of coefficients. We also consider some related
questions, e.g., the dependence of the solution of
small coefficients in a subdomain",
}
@Article{Balagurov:1983:ICP,
author = "B. Ya. Balagurov",
title = "Isomorphism of certain problems of percolation
theory",
journal = j-Z-EKSP-TEOR-FIZ,
volume = "85",
number = "2",
pages = "568--584",
year = "1983",
CODEN = "ZETFA7",
ISSN = "0044-4510",
fjournal = "Akademiya Nauk SSSR. Zhurnal Eksperimentalnoy i
Teoreticheskoy Fiziki",
}
@Article{Balk:1998:DSN,
author = "A. Balk and A. V. Cherkaev and L. I. Slepyan",
title = "Dynamics of solids with non-monotone stress-strain
relation",
journal = j-J-MECH-PHYS-SOLIDS,
volume = "submitted",
year = "1999",
CODEN = "JMPSA8",
ISSN = "0022-5096",
}
@Article{Ball:1976:CCE,
author = "John M. Ball",
title = "Convexity conditions and existence theorems in
nonlinear elasticity",
journal = j-ARCH-RAT-MECH-ANAL,
volume = "63",
number = "4",
pages = "337--403",
year = "1976/77",
CODEN = "AVRMAW",
ISSN = "0003-9527",
}
@Article{Ball:1981:NLW,
author = "J. M. Ball and J. C. Currie and P. J. Oliver",
title = "Null-Lagrangians, weak continuity, and variational
problems of arbitrary order",
journal = j-J-FUNCT-ANAL,
volume = "41",
number = "",
pages = "4989--5003",
year = "1981",
CODEN = "JFUAAW",
ISSN = "0022-1236",
}
@Article{Ball:1984:QVP,
author = "J. M. Ball and F. Murat",
title = "${W}\sp{1,p}$-quasiconvexity and variational problems
for multiple integrals",
journal = j-J-FUNCT-ANAL,
volume = "58",
number = "3",
pages = "225--253",
year = "1984",
CODEN = "JFUAAW",
ISSN = "0022-1236",
note = "See errata \cite{Ball:1986:EQV}",
fjournal = "Journal of Functional Analysis",
}
@Article{Ball:1986:EQV,
author = "J. M. Ball and F. Murat",
title = "Erratum: ``${W}\sp{1,p}$-quasiconvexity and
variational problems for multiple integrals''",
journal = j-J-FUNCT-ANAL,
volume = "66",
number = "3",
pages = "439",
year = "1986",
CODEN = "JFUAAW",
ISSN = "0022-1236",
fjournal = "Journal of Functional Analysis",
}
@Article{Ball:1987:FPM,
author = "J. M. Ball and R. James",
title = "Finite phase mixtures as minimizers of energy",
journal = j-ARCH-RAT-MECH-ANAL,
volume = "100",
pages = "13--52",
year = "1987",
CODEN = "AVRMAW",
ISSN = "0003-9527",
}
@Article{Ball:1989:RCB,
author = "J. M. Ball and F. Murat",
title = "Remarks on {Chacon}'s biting lemma",
journal = j-PROC-AM-MATH-SOC,
volume = "107",
number = "3",
pages = "655--663",
year = "1989",
CODEN = "PAMYAR",
ISSN = "0002-9939",
fjournal = "Proceedings of the American Mathematical Society",
}
@InCollection{Ball:1989:VFT,
author = "J. M. Ball",
booktitle = "PDEs and continuum models of phase transitions (Nice,
1988)",
title = "A version of the fundamental theorem for {Young}
measures",
volume = "344",
publisher = pub-SV,
address = "Berlin; New York",
pages = "207--215",
year = "1989",
series = "Lecture Notes in Phys.",
}
@InCollection{Ball:1991:RRO,
author = "J. M. Ball and F. Murat",
booktitle = "Ordinary and partial differential equations, Vol. III
(Dundee, 1990)",
title = "Remarks on rank-one convexity and quasiconvexity",
publisher = "Longman Sci. Tech.",
address = "Harlow",
pages = "25--37",
year = "1991",
}
@Article{Ball:1992:PET,
author = "J. M. Ball and R. James",
title = "Proposed experimental tests of a theory of fine
microstructure and two-well problem",
journal = j-PHILOS-TRANS-R-SOC-LOND,
volume = "338A",
pages = "389--450",
year = "1992",
CODEN = "PTRSAV",
ISSN = "0370-2316",
}
@InCollection{Ball:RRO:RRO,
author = "J. M. Ball and F. Murat",
booktitle = "Ordinary and partial differential equations, Vol. III
(Dundee, 1990)",
title = "Remarks on rank-one convexity and quasiconvexity",
publisher = "Longman Sci. Tech.",
address = "Harlow",
pages = "25--37",
year = "1991",
}
@Book{Bandle:1980:IIA,
author = "C. Bandle",
title = "Isoperimetric inequalities and applications",
publisher = "Pitman (Advanced Publishing Program)",
address = "Boston, Mass.",
pages = "x + 228",
year = "1980",
ISBN = "0-273-08423-2",
}
@Article{Banichuk:1977:COP,
author = "N. V. Banichuk",
title = "Conditions of optimality in the problem of finding
shapes of holes in elastic bodies",
journal = j-PRIKL-MAT-MEH,
volume = "41",
number = "5",
pages = "920--925",
year = "1977",
CODEN = "PMAMAF",
ISSN = "0032-8235",
}
@Article{Banichuk:1984:OPE,
author = "N. V. Banichuk and V. G. Bel{\cprime}ski{\u\i} and V.
V. Kobelev",
title = "Optimization in problems of elasticity with unknown
boundaries",
journal = j-IZV-AKAD-NAUK-SSSR-MEH-TVERD-TELA,
volume = "19",
number = "3",
pages = "46--52",
year = "1984",
CODEN = "IZMTB9",
ISSN = "0572-3299",
fjournal = "Izvestiya Akademii Nauk SSSR. Mekhanika Tverdogo
Tela",
}
@Article{Banichuk:1989:DAS,
author = "N. V. Banichuk and A. S. Bratus{\cprime} and A. D.
Myshkis",
title = "Destabilizing action of small dissipative forces on
nonconservative systems",
journal = j-DOKL-AKAD-NAUK,
volume = "309",
number = "6",
pages = "1325--1327",
year = "1989",
CODEN = "DANKAS",
ISSN = "0002-3264",
MRnumber = "MR91k:70020",
fjournal = "Doklady Akademii Nauk SSSR",
}
@Article{Banichuk:1989:OSE,
author = "N. V. Banichuk and A. S. Bratus{\cprime}",
title = "Optimization of the stability of elastic
nonconservative systems",
journal = j-PRIKL-PROBLEMY-PROCH-I-PLAST,
number = "42",
pages = "11--17 (1990)",
year = "1989",
ISSN = "0132-7186",
MRnumber = "MR91k:73080",
fjournal = "Gor\cprime kovski\u\i\ Gosudarstvenny\u\i\ Universitet
imeni N. I. Lobachevskogo. Prikladnye Problemy
Prochnosti i Plastichnosti",
}
@Article{Barabanov:1993:LLA,
author = "O. O. Barabanov and V. V. Zhikov",
title = "Limit load and averaging",
journal = j-IZV-ROSS-AKAD-NAUK-SER-MAT,
volume = "57",
number = "5",
pages = "15--43",
year = "1993",
ISSN = "0373-2436",
MRnumber = "MR94k:73080",
fjournal = "Rossi\u\i skaya Akademiya Nauk. Izvestiya. Seriya
Matematicheskaya",
}
@Article{Barles:1995:UMP,
author = "G. Barles and F. Murat",
title = "Uniqueness and the maximum principle for quasilinear
elliptic equations with quadratic growth conditions",
journal = j-ARCH-RAT-MECH-ANAL,
volume = "133",
number = "1",
pages = "77--101",
year = "1995",
CODEN = "AVRMAW",
ISSN = "0003-9527",
fjournal = "Archive for Rational Mechanics and Analysis",
}
@Article{Barnett:1974:SEC,
author = "D. M. Barnett and J. K. Lee and H. I. Aaronson and K.
C. Russel",
title = "The strain energy of a coherent ellipsoidal
precipitate",
journal = j-SCR-METALL,
volume = "8",
pages = "1447--1450",
year = "1974",
CODEN = "SCRMBU",
ISSN = "0036-9748",
}
@InCollection{Barrett:1996:BEP,
author = "K. E. Barrett and D. R. S. Talbot",
booktitle = "Continuum models and discrete systems (Varna, 1995)",
title = "Bounds for the effective properties of a nonlinear
two-phase composite dielectric",
publisher = "World Sci. Publishing",
address = "River Edge, NJ",
pages = "92--99",
year = "1996",
}
@Article{Begue:1987:NES,
author = "C. B{\`e}gue and C. Conca and F. Murat and O.
Pironneau",
title = "{\`A} nouveau sur les {\'e}quations de {Stokes} et de
{Navier-Stokes} avec des conditions aux limites sur la
pression",
journal = j-C-R-ACAD-SCI-PARIS-SER-I-MATH,
volume = "304",
number = "1",
pages = "23--28",
year = "1987",
CODEN = "CHASAP",
ISSN = "0249-6291",
fjournal = "Comptes Rendus des S{\'e}ances de l'Acad{\'e}mie des
Sciences. S{\'e}rie I. Math{\'e}matique",
}
@InCollection{Begue:1988:ESN,
author = "C. B{\`e}gue and C. Conca and F. Murat and O.
Pironneau",
booktitle = "Nonlinear partial differential equations and their
applications. Coll{\`e}ge de France Seminar, Vol.\ IX
(Paris, 1985--1986)",
title = "Les \'equations de {Stokes} et de {Navier-Stokes} avec
des conditions aux limites sur la pression",
publisher = "Longman Sci. Tech.",
address = "Harlow",
pages = "179--264",
year = "1988",
}
@Article{Beliaev:1996:DER,
author = "A. Yu. A. Beliaev and S. M. Kozlov",
title = "Darcy equation for random porous media",
journal = j-COMM-PURE-APPL-MATH,
volume = "49",
number = "1",
pages = "1--34",
year = "1996",
CODEN = "CPAMAT, CPMAMV",
ISSN = "0010-3640",
fjournal = "Communications on Pure and Applied Mathematics",
}
@Article{Ben-Tal:1993:NMO,
author = "A. Ben-Tal and M. P. Bend\-s{\o}e",
fullauthor = "Aharon Ben-Tal and M. P. Bend\-s{\o}e",
title = "A new method for optimal truss topology design",
journal = j-SIAM-J-OPT,
volume = "3",
number = "2",
pages = "322--358",
year = "1993",
CODEN = "SJOPE8",
ISSN = "1052-6234",
fjournal = "SIAM Journal on Optimization",
}
@Article{Bendsoe:1981:EOS,
author = "M. P. Bend\-s{\o}e",
title = "On the existence of observable single-output systems
of a simple type",
journal = j-SIAM-J-CONTROL-OPTIM,
volume = "19",
number = "4",
pages = "555--559",
year = "1981",
CODEN = "SJCODC",
ISSN = "0363-0129 (print), 1095-7138 (electronic)",
fjournal = "Society for Industrial and Applied Mathematics.
Journal on Control and Optimization",
}
@InProceedings{Bendsoe:1982:SSM,
author = "M. P. Bend\-s{\o}e",
editor = "E. Atrek and R. H. Gallagher and K. M. Ragsdell and O.
C. Zienkeiwicz",
booktitle = "New Directions in optimal structural design",
title = "Some Smear-out Models for Integrally Stiffened
Plates",
publisher = "Pineridge Press Ltd.",
address = "Swansea",
pages = "{(13--29)}-{(13--34)}",
year = "1982",
}
@InCollection{Bendsoe:1983:CHP,
author = "M. P. Bend\-s{\o}e",
booktitle = "Optimization methods in structural design (Siegen,
1982)",
title = "${G}$-closure and homogenization problems arising in
plate optimization",
publisher = "Bibliographisches Inst.",
address = "Mannheim",
pages = "270--275",
year = "1983",
}
@Article{Bendsoe:1983:VFM,
author = "M. P. Bend\-s{\o}e and N. Olhoff and J. E. Taylor",
title = "A Variational Formulation for Multicriteria Structural
Optimization",
journal = j-J-STRUCT-MECH,
volume = "11",
number = "",
pages = "523--544",
year = "1983",
CODEN = "JSMHA2",
ISSN = "0360-1218",
}
@InCollection{Bendsoe:1984:EPC,
author = "M. P. Bend\-s{\o}e",
booktitle = "System modelling and optimization (Copenhagen, 1983)",
title = "Existence proofs for a class of plate optimization
problems",
publisher = pub-SV,
address = "Berlin",
pages = "773--779",
year = "1984",
}
@Article{Bendsoe:1985:MDA,
author = "M. P. Bend\-s{\o}e and N. Olhoff",
title = "A method of design against vibration resonance of
beams and shafts",
journal = j-OPT-CTL-APPL-METH,
volume = "6",
number = "3",
pages = "191--200",
year = "1985",
CODEN = "OCAMD5",
ISSN = "0143-2087",
fjournal = "Optimal Control Applications \& Methods",
}
@Article{Bendsoe:1985:SAP,
author = "M. P. Bend\-s{\o}e and N. Olhoff and J.
Soko{\l}owski",
title = "Sensitivity analysis of problems of elasticity with
unilateral constraints",
journal = j-J-STRUCT-MECH,
volume = "13",
number = "2",
pages = "201--222",
year = "1985",
CODEN = "JSMHA2",
ISSN = "0360-1218",
fjournal = "Journal of Structural Mechanics",
}
@InProceedings{Bendsoe:1986:GPM,
author = "M. P. Bend\-s{\o}e",
editor = "",
booktitle = "Homogenization and Effective Moduli of Materials and
Media (Minneapolis, Minn., 1984/1985)",
title = "Generalized Plate Models and Optimal Design",
organization = "",
publisher = pub-SV,
address = "Berlin; New York",
pages = "1--26",
month = "",
year = "1986",
}
@Article{Bendsoe:1987:DSCa,
author = "M. P. Bend\-s{\o}e and N. Olhoff and J. E. Taylor",
title = "On the design of structure and controls for optimal
performance of actively controlled flexible
structures",
journal = j-MECHAN-STRUCT-MACH,
volume = "15",
number = "3",
pages = "265--295",
year = "1987",
CODEN = "MSMAEI",
ISSN = "0890-5452",
fjournal = "Mechanics of Structures and Machines. An International
Journal",
}
@InCollection{Bendsoe:1987:DSCb,
author = "M. P. Bend\-s{\o}e",
booktitle = "Computer aided optimal design: structural and
mechanical systems (Tr{\'o}ia, 1986)",
title = "Design of structure and controllers for optimal
performance",
publisher = pub-SV,
address = "Berlin",
pages = "181--193",
year = "1987",
}
@Article{Bendsoe:1987:SAO,
author = "M. P. Bend\-s{\o}e and J. Soko{\l}owski",
title = "Sensitivity analysis and optimal design of elastic
plates with unilateral point supports",
journal = j-MECHAN-STRUCT-MACH,
volume = "15",
number = "3",
pages = "383--393",
year = "1987",
CODEN = "MSMAEI",
ISSN = "0890-5452",
fjournal = "Mechanics of Structures and Machines. An International
Journal",
}
@Article{Bendsoe:1988:DSA,
author = "M. P. Bend\-s{\o}e and J. Soko{\l}owski",
title = "Design sensitivity analysis of elastic-plastic
analysis problems",
journal = j-MECHAN-STRUCT-MACH,
volume = "16",
number = "1",
pages = "81--102",
year = "1988",
CODEN = "MSMAEI",
ISSN = "0890-5452",
fjournal = "Mechanics of Structures and Machines. An International
Journal",
}
@Article{Bendsoe:1988:GOT,
author = "M. P. Bend\-s{\o}e and N. Kikuchi",
title = "Generating Optimal Topologies in Structural Design
using a Homogenization Method",
journal = j-COMPUT-METH-APPL-MECH-ENG,
volume = "71",
number = "2",
pages = "197--224",
year = "1988",
CODEN = "CMMECC",
ISSN = "0045-7825",
fjournal = "Computer Methods in Applied Mechanics and
Engineering",
}
@InCollection{Bendsoe:1988:ODA,
author = "M. P. Bend\-s{\o}e",
booktitle = "Boundary control and boundary variations (Nice,
1986)",
title = "On optimal design of actively controlled distributed
parameter structures",
publisher = pub-SV,
address = "Berlin",
pages = "55--71",
year = "1988",
}
@Article{Bendsoe:1989:OSD,
author = "M. P. Bend\-s{\o}e",
title = "Optimal Shape Design as a Material Distribution
Problem",
journal = j-STRUCT-OPTIM,
volume = "1",
number = "",
pages = "193--202",
year = "1989",
CODEN = "SOPTEQ",
ISSN = "0934-4373",
}
@Article{Bendsoe:1990:TBV,
author = "M. P. Bend\-s{\o}e and H. C. Rodrigues",
title = "On topology and boundary variations in shape
optimization",
journal = j-CONTROL-CYBERN,
volume = "19",
number = "3-4",
pages = "9--26",
year = "1990",
CODEN = "CCYBAP",
ISSN = "0324-8569",
note = "Optimal design and control of structures (Jab\l onna,
1990).",
fjournal = "Polish Academy of Sciences. Systems Research
Institute. Control and Cybernetics",
xxyear = "1991",
}
@Article{Bendsoe:1991:ITB,
author = "M. P. Bend\-s{\o}e and H. Carrico Rodrigues",
fullauthor = "M. P. Bend\-s{\o}e and Helder Carrico Rodrigues",
title = "Integrated topology and boundary shape optimization of
$2${D} solids",
journal = j-COMPUT-METH-APPL-MECH-ENG,
volume = "87",
number = "1",
pages = "15--34",
year = "1991",
CODEN = "CMMECC",
ISSN = "0045-7825",
fjournal = "Computer Methods in Applied Mechanics and
Engineering",
}
@InCollection{Bendsoe:1993:TGL,
author = "M. P. Bend\-s{\o}e and A. R. D{\'\i}az and N.
Kikuchi",
booktitle = "Topology design of structures (Sesimbra, 1992)",
title = "Topology and generalized layout optimization of
elastic structures",
publisher = pub-KLUWER,
address = "Dordrecht",
pages = "159--205",
year = "1993",
}
@InProceedings{Bendsoe:1993:TOG,
author = "M. P. Bend\-s{\o}e and A. R. D{\'\i}az and N.
Kikuchi",
editor = "M. P. Bend\-s{\o}e and C. A. {Mota Soares}",
booktitle = "{Topology Design} of {Structures}, {Sesimbra,
Portugal}",
title = "Topology Optimization and Generalized Layout
Optimization of Elastic Structures",
organization = "NATO ASI",
publisher = pub-KLUWER,
address = pub-KLUWER:adr,
pages = "159--205",
month = "",
year = "1993",
}
@InCollection{Bendsoe:1993:TTO,
author = "M. P. Bend\-s{\o}e and A Ben-Tal",
fullauthor = "M. P. Bend\-s{\o}e and Aharon Ben-Tal",
booktitle = "Optimization of large structural systems, Vol.\ I, II
(Berchtesgaden, 1991)",
title = "Truss topology optimization by a displacements based
optimality criterion approach",
publisher = pub-KLUWER,
address = "Dordrecht",
pages = "139--155",
year = "1993",
}
@Article{Bendsoe:1994:AMP,
author = "M. P. Bend\-s{\o}e and J. M. Guedes and R. B. Haber
and P. Pedersen and J. E. Taylor",
title = "An analytical model to predict optimal material
properties in the context of optimal structural
design",
journal = j-J-APPL-MECH,
volume = "61",
number = "4",
pages = "930--937",
year = "1994",
CODEN = "JAMCAV",
ISSN = "0021-8936",
fjournal = "American Society of Mechanical Engineers. Transactions
of the ASME. Journal of Applied Mechanics",
}
@Article{Bendsoe:1994:SCA,
author = "M. P. Bend\-s{\o}e and J. M. Guedes",
title = "Some computational aspects of using extremal material
properties in the optimal design of shape, topology and
material",
journal = j-CONTROL-CYBERN,
volume = "23",
number = "3",
pages = "327--349",
year = "1994",
CODEN = "CCYBAP",
ISSN = "0324-8569",
note = "Shape design and optimization.",
fjournal = "Control and Cybernetics",
}
@InCollection{Bendsoe:1995:MCD,
author = "M. P. Bend\-s{\o}e and V. B. Hammer and R. Lipton and
P. Pedersen",
booktitle = "Homogenization and applications to material sciences
(Nice, 1995)",
title = "Minimum compliance design of laminated plates",
publisher = "Gakk\=otosho",
address = "Tokyo",
pages = "45--56",
year = "1995",
note = "see also \cite{Bendsoe:1996:PLD}",
}
@Article{Bendsoe:1995:ODM,
author = "M. P. Bend\-s{\o}e and A. R. D{\'\i}az and R. Lipton
and J. E. Taylor",
title = "Optimal design of material properties and material
distribution for multiple loading conditions",
journal = j-INT-J-NUMER-METHODS-ENG,
volume = "38",
number = "7",
pages = "1149--1170",
year = "1995",
CODEN = "IJNMBH",
ISSN = "0029-5981",
fjournal = "International Journal for Numerical Methods in
Engineering",
}
@Book{Bendsoe:1995:OST,
author = "M. P. Bend\-s{\o}e",
editor = "",
title = "Optimization of Structural Topology, Shape, and
Material",
volume = "",
publisher = pub-SV,
address = pub-SV:adr,
edition = "",
pages = "xii + 271",
month = "",
year = "1995",
ISBN = "3-540-59057-9",
series = "",
}
@Article{Bendsoe:1995:SSAa,
author = "M. P. Bend\-s{\o}e and J. Soko{\l}owski",
title = "Shape sensitivity analysis of optimal compliance
functionals",
journal = j-MECHAN-STRUCT-MACH,
volume = "23",
number = "1",
pages = "35--58",
year = "1995",
CODEN = "MSMAEI",
ISSN = "0890-5452",
fjournal = "Mechanics of Structures and Machines. An International
Journal",
}
@InCollection{Bendsoe:1995:SSAb,
author = "M. P. Bend\-s{\o}e and J. Soko{\l}owski",
booktitle = "Recent developments in optimization (Dijon, 1994)",
title = "Shape sensitivity analysis of nonsmooth shape
functionals",
publisher = pub-SV,
address = "Berlin",
pages = "36--45",
year = "1995",
}
@Article{Bendsoe:1996:OSMa,
author = "M. P. Bend\-s{\o}e and J. M. Guedes and S. Plaxton and
J. E. Taylor",
title = "Optimization of structure and material properties for
solids composed of softening material",
journal = j-INT-J-SOLIDS-STRUCT,
volume = "33",
number = "12",
pages = "1799--1813",
year = "1996",
CODEN = "IJSOAD",
ISSN = "0020-7683",
fjournal = "International Journal of Solids and Structures",
}
@InCollection{Bendsoe:1996:OSMb,
author = "M. P. Bend\-s{\o}e and J. M. Guedes and S. Plaxton and
J. E. Taylor",
booktitle = "IUTAM Symposium on Optimization of Mechanical Systems
(Stuttgart, 1995)",
title = "Optimization of structure \& material properties for
solids composed of softening material",
publisher = pub-KLUWER,
address = "Dordrecht",
pages = "17--24",
year = "1996",
}
@Article{Bendsoe:1996:PLD,
author = "M. P. Bend\-s{\o}e and A. R. D{\'\i}az and R. Lipton
and J. E. Taylor",
title = "Parametrization in Laminate Design for Optimal
Compliance",
journal = j-INT-J-SOLIDS-STRUCT,
volume = "34",
pages = "415--434",
year = "1996",
CODEN = "IJSOAD",
ISSN = "0020-7683",
fjournal = "International Journal of Solids and Structures",
}
@Article{Bendsoe:1997:EOE,
author = "M. P. Bend\-s{\o}e and R. Lipton",
title = "Extremal overall elastic response of polycrystalline
materials",
journal = j-J-MECH-PHYS-SOLIDS,
volume = "45",
number = "11-12",
pages = "1765--1780",
year = "1997",
CODEN = "JMPSA8",
ISSN = "0022-5096",
fjournal = "Journal of the Mechanics and Physics of Solids",
}
@Book{Bensoussan:1978:AAP,
author = "A. Bensoussan and J. L. Lions and G. Papanicolaou",
title = "Asymptotic analysis of periodic structures",
publisher = "North-Holland Publ.",
year = "1978",
}
@Article{Bensoussan:1986:HEE,
author = "A. Bensoussan and L. Boccardo and F. Murat",
title = "Homogenization of elliptic equations with principal
part not in divergence form and {Hamiltonian} with
quadratic growth",
journal = j-COMM-PURE-APPL-MATH,
volume = "39",
number = "6",
pages = "769--805",
year = "1986",
CODEN = "CPAMAT, CPMAMV",
ISSN = "0010-3640",
fjournal = "Communications on Pure and Applied Mathematics",
}
@Article{Bensoussan:1988:NPD,
author = "A. Bensoussan and L. Boccardo and F. Murat",
title = "On a nonlinear partial differential equation having
natural growth terms and unbounded solution",
journal = j-ANN-INST-HENRI-POINCARE-ANAL-NON-LINEAIRE,
volume = "5",
number = "4",
pages = "347--364",
year = "1988",
ISSN = "0294-1449",
fjournal = "Annales de l'Institut Henri Poincar{\'e}. Analyse Non
Lin{\'e}aire",
}
@TechReport{Bensoussan:1990:HCQ,
author = "A. Bensoussan and L. Boccardo and F. Murat",
title = "{H-convergence} for quasilinear elliptic equations
with quadratic growth",
institution = "Publication du Laboratoire d'Analyse Num{\'e}rique,
Universit{\'e} Pierre et Marie Curie",
year = "1990",
abstract = "In this paper we consider the problem ?? hier
fehlen Zeilen - ein equation/array where the matrices
$a^\epsilon (x)$ converge in the sense of
homogenization, where $\gamma \ge 0$ and where the
Hamiltonians $H^\epsilon$ satisfy
\setcounter{equation}{1} \begin{equation} \mid
H^\epsilon (x, s, \xi) \mid \le c_0 + b (\mid s \mid)
\mid \xi \mid^2 \end{equation} (with $c_0$ a constant
and $b(s)$ a nondecreasing function). We prove that
extracting a subsequence, $u^{\epsilon'}$ converges
weakly * in $H{_{0}^{1}} (\Omega) \cap L^\infty
(\Omega)$ to the solution of a problem similar to (1),
the Hamiltonian of which is given by
\setcounter{equation}{2} \begin{equation} H(x, s, \xi)
= lim_{D'(\Omega)} H^{\epsilon'}(x,s,P^{\epsilon'}(x)
\xi); \end{equation} here the matrices $P^\epsilon$ are
the corrector matrices of the linear problem, which we
assume to be bounded in $(L^\infty (\Omega))^{N^2}$. We
also consider the problem (?? hier fehlt equation3)
where the matrices $a^\epsilon(x)$ are now supposed to
be symmetric and still to converge in the sense of
homogenization; here $f$ belongs to $H^{-1}(\Omega)$
while further to (2), $G^\epsilon$ satisfies the sign
condition $s G^\epsilon (x, s, \xi) \ge 0$ and a growth
condition with respect to $s$. Under these hypotheses
we prove again that extracting a subsequence,
$v^{\epsilon'}$ converges weakly in
$H{{_0}{^1}}(\Omega)$ to the solution of a problem
similar to (4). In contrast with (1), the solution
$v^\epsilon$ of (4) is no more bounded in
$L^\infty(\Omega)$, which gives extra difficulties in
the homogenization process.",
}
@Article{Bensoussan:1992:CQL,
author = "A. Bensoussan and L. Boccardo and F. Murat",
title = "${H}$ convergence for quasi-linear elliptic equations
with quadratic growth",
journal = j-APPL-MATH-OPTIM,
volume = "26",
number = "3",
pages = "253--272",
year = "1992",
CODEN = "AMOMBN",
ISSN = "0095-4616",
fjournal = "Applied Mathematics and Optimization. An International
Journal",
}
@InCollection{Bensoussan:1992:HNP,
author = "A. Bensoussan and L. Boccardo and F. Murat",
booktitle = "Progress in partial differential equations: calculus
of variations, applications (Pont-\`a-Mousson, 1991)",
title = "Homogenization of a nonlinear partial differential
equation with unbounded solution",
publisher = "Longman Sci. Tech.",
address = "Harlow",
pages = "1--12",
year = "1992",
}
@InProceedings{Benveniste:1990:CBM,
author = "Y. Benveniste and G. J. Dvorak",
editor = "G. Weng and others",
booktitle = "Micromechanics and Inhomogeneity",
title = "On correspondence between mechanical and thermal
effects in two-phase composites",
publisher = pub-SV,
address = pub-SV:adr,
pages = "65--80",
year = "1990",
}
@Article{Benveniste:1991:DES,
author = "Y. Benveniste and G. J. Dvorak and T. Chen",
title = "On diagonal and elastic symmetry of the approximate
effective stiffness tensor of heterogeneous media",
journal = j-J-MECH-PHYS-SOLIDS,
volume = "39",
number = "7",
pages = "927--946",
year = "1991",
CODEN = "JMPSA8",
ISSN = "0022-5096",
MRnumber = "MR92i:73084",
fjournal = "Journal of the Mechanics and Physics of Solids",
}
@Article{Benveniste:1992:UFU,
author = "Y. Benveniste and G. J. Dvorak",
title = "Uniform fields and universal relations in
piezoelectric composites",
journal = j-J-MECH-PHYS-SOLIDS,
volume = "40",
number = "6",
pages = "1295--1312",
year = "1992",
CODEN = "JMPSA8",
ISSN = "0022-5096",
MRnumber = "MR93g:73101",
fjournal = "Journal of the Mechanics and Physics of Solids",
}
@Article{Benveniste:1993:ERM,
author = "Y. Benveniste",
title = "Exact results in the micromechanics of fibrous
piezoelectric composites exhibiting pyroelectricity",
journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
volume = "441",
pages = "59--81",
year = "1993",
CODEN = "PRLAAZ",
ISSN = "0080-4630",
}
@Article{Benveniste:1993:URPa,
author = "Y. Benveniste",
title = "Universal relations in piezoelectric composites with
eigenstress and polarization fields. {I}. {Binary}
media---local fields and effective behavior",
journal = j-J-APPL-MECH,
volume = "60",
number = "2",
pages = "265--269",
year = "1993",
CODEN = "JAMCAV",
ISSN = "0021-8936",
MRnumber = "MR94g:73037a",
fjournal = "American Society of Mechanical Engineers. Transactions
of the ASME. Journal of Applied Mechanics",
}
@Article{Benveniste:1993:URPb,
author = "Y. Benveniste",
title = "Universal relations in piezoelectric composites with
eigenstress and polarization fields. {II}. {Multiphase}
media---effective behavior",
journal = j-J-APPL-MECH,
volume = "60",
number = "2",
pages = "270--275",
year = "1993",
CODEN = "JAMCAV",
ISSN = "0021-8936",
MRnumber = "MR94g:73037b",
fjournal = "American Society of Mechanical Engineers. Transactions
of the ASME. Journal of Applied Mechanics",
}
@Article{Benveniste:1994:ECB,
author = "Y. Benveniste",
title = "Exact connections between polycrystal and crystal
properties in two-dimensional polycrystalline
aggregates",
journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
volume = "447",
pages = "1--22",
year = "1994",
CODEN = "PRLAAZ",
ISSN = "0080-4630",
}
@Article{Benveniste:1995:CRA,
author = "Y. Benveniste",
title = "Correspondence relations among equivalent classes of
heterogeneous piezoelectric solids under anti-plane
mechanical and in-plane electrical fields",
journal = j-J-MECH-PHYS-SOLIDS,
volume = "43",
number = "4",
pages = "553--571",
year = "1995",
CODEN = "JMPSA8",
ISSN = "0022-5096",
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author = "Y. Benveniste",
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cylindrical pores or inclusions",
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volume = "44",
number = "1",
pages = "137--153",
year = "1996",
CODEN = "JMPSA8",
ISSN = "0022-5096",
MRnumber = "MR96h:73005",
fjournal = "Journal of the Mechanics and Physics of Solids",
}
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author = "M. J. Beran and P. A. Mason and B. Adams and T.
Olsen",
title = "Bounding elastic constants of an orthotropic
polycrystal using measurements of the microstructure",
journal = j-J-MECH-PHYS-SOLIDS,
year = "19xx",
CODEN = "JMPSA8",
ISSN = "0022-5096",
note = "Submitted.",
}
@Book{Berdichevsky:1983:VPC,
author = "V. Berdichevsky",
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publisher = pub-NAUKA,
address = pub-NAUKA:adr,
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note = "In {Russian}.",
}
@Article{Berdichevsky:1991:NTV,
author = "V. Berdichevsky and I. Kunin and F. Hussain",
title = "Negative temperature of vortex motion",
journal = j-PHYS-REV-A,
volume = "43",
number = "4",
pages = "2050--2051",
year = "1991",
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ISSN = "1050-2947",
fjournal = "Physical Review. A. General Physics. Third Series",
}
@Book{Berdichevsky:1997:TCO,
author = "V. Berdichevsky",
title = "Thermodynamics of chaos and order",
publisher = "Longman",
address = "Harlow",
pages = "x + 267",
year = "1997",
ISBN = "0-582-08734-1",
}
@Book{Berdichevsky:1999:H,
editor = "V. Berdichevsky and V. Jikov and G. Papanicolaou",
title = "Homogenization",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
year = "1999",
ISBN = "",
LCCN = "",
}
@Article{Berger:1970:ASN,
author = "M. S. Berger and L. E. Fraenkel",
title = "On the asymptotic solution of a nonlinear {Dirichlet}
problem",
journal = j-J-MATH-MECH,
volume = "19",
number = "7",
pages = "553--585",
year = "1970",
CODEN = "JOMMAN",
ISSN = "0095-9057",
}
@Article{Bergman:1977:CBC,
author = "D. J. Bergman and Y. Imry",
title = "Critical behavior of the complex dielectric constant
near the percolation threshold of a heterogeneous
material",
journal = j-PHYS-REV-LET,
volume = "39",
pages = "1222--1225",
year = "1977",
CODEN = "PRLTAO",
ISSN = "0031-9007",
}
@Article{Bergman:1978:DCC,
author = "D. J. Bergman",
title = "The dielectric constant of a composite material---a
problem in classical physics",
journal = j-PHYS-REP,
volume = "43",
number = "9",
pages = "377--407",
year = "1978",
CODEN = "PRPLCM",
ISSN = "0370-1573",
MRnumber = "MR58:14402",
}
@Article{Bergman:1980:ESM,
author = "D. J. Bergman",
title = "Exactly solvable microscopic geometries and rigorous
bounds for the complex dielectric constant of a
two-component composite material",
journal = j-PHYS-REV-LET,
volume = "44",
pages = "1285--1287",
year = "1980",
CODEN = "PRLTAO",
ISSN = "0031-9007",
}
@Article{Bergman:1982:RBC,
author = "D. J. Bergman",
title = "Rigorous bounds for the complex dielectric constant of
a two-component composite",
journal = j-ANN-PHYS,
volume = "138",
number = "1",
pages = "78--114",
year = "1982",
CODEN = "APNYA6",
ISSN = "0003-4916",
MRnumber = "MR84e:78006",
fjournal = "Annals of Physics",
}
@Article{Bergman:1984:CPE,
author = "D. J. Bergman and Y. Kantor",
fullauthor = "D. J. Bergman and Yacov Kantor",
title = "Critical properties of an elastic fractal",
journal = j-PHYS-REV-LET,
volume = "53",
number = "6",
pages = "511--514",
year = "1984",
CODEN = "PRLTAO",
ISSN = "0031-9007",
MRnumber = "MR85g:82061",
fjournal = "Physical Review Letters",
}
@InCollection{Bergman:1985:BPP,
author = "D. Bergman",
booktitle = "Homogenization methods: theory and applications in
physics (Br{\'e}au-sans-Nappe, 1983)",
title = "Bulk physical properties of composite media",
publisher = pub-EYROLLES,
address = pub-EYROLLES:adr,
pages = "1--128",
year = "1985",
MRnumber = "MR844870",
}
@InCollection{Bergman:1986:EDC,
author = "D. J. Bergman",
booktitle = "Homogenization and effective moduli of materials and
media (Minneapolis, Minn., 1984/1985)",
title = "The effective dielectric coefficient of a composite
medium: rigorous bounds from analytic properties",
publisher = pub-SV,
address = "New York",
pages = "27--51",
year = "1986",
MRnumber = "MR87j:78005",
}
@InCollection{Bergman:1991:EMA,
author = "D. J. Bergman",
booktitle = "Composite media and homogenization theory (Trieste,
1990)",
title = "Effective medium approximation for nonlinear
conductivity of a composite medium",
publisher = "Birkh{\"a}user Boston",
address = "Boston, MA",
pages = "67--79",
year = "1991",
MRnumber = "MR92i:78006",
}
@Article{Bergman:1992:PPM,
author = "D. J. Bergman and D. Stroud",
title = "Physical Properties of Macroscopically Inhomogeneous
Media",
journal = j-SOLID-STATE-PHYS-N-Y-1955,
volume = "46",
pages = "147--269",
year = "1992",
CODEN = "SSPHAE",
ISSN = "0081-1947",
}
@InCollection{Bergman:1996:NBC,
author = "D. J. Bergman",
booktitle = "Continuum models and discrete systems (Varna, 1995)",
title = "Nonlinear behavior in a composite medium: the
importance of resonances and percolation",
publisher = "World Sci. Publishing",
address = "River Edge, NJ",
pages = "111--117",
year = "1996",
MRnumber = "MR1442963",
}
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author = "L. Berlyand and K. Golden",
title = "Exact result for the effective conductivity of a
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volume = "50",
pages = "2114--2117",
year = "1994",
CODEN = "PLRBAQ",
ISSN = "0556-2805",
bibdate = "Fri Dec 30 10:52:44 1994",
}
@Article{Berryman:1988:MRC,
author = "J. G. Berryman and G. W. Milton",
title = "Microgeometry of random composites and porous media",
journal = j-J-PHYS-D,
volume = "21",
pages = "87--94",
year = "1988",
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ISSN = "0022-3727",
}
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author = "K. Bhattacharya",
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pages = "205--242",
year = "1993",
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ISSN = "0935-1175",
}
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author = "K. Bhattacharya and N. B. Firoozye and R. D. James and
R. V. Kohn",
title = "Restrictions on microstructure",
journal = j-PROC-R-SOC-EDINB-SECT-A-MATH,
volume = "124",
number = "5",
pages = "843--878",
year = "1994",
CODEN = "PEAMDU",
ISSN = "0308-2105",
fjournal = "Proceedings of the Royal Society of Edinburgh. Section
A. Mathematics",
}
@Article{Bhattacharya:1997:EEM,
author = "K. Bhattacharya and R. V. Kohn",
title = "Elastic energy minimization and the recoverable
strains of polycrystalline shape-memory materials",
journal = j-ARCH-RAT-MECH-ANAL,
volume = "139",
pages = "99--180",
year = "1997",
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ISSN = "0003-9527",
}
@Book{Biedenharn:1981:AMQ,
author = "L. C. Biedenharn and J. D. Louck",
title = "Angular momentum in quantum physics",
volume = "8",
publisher = "Addison-Wesley Publishing Co., Reading, Mass.",
pages = "xxxii + 716",
year = "1981",
ISBN = "0-201-13507-8",
note = "Theory and application, with a foreword by Peter A.
Carruthers.",
series = "Encyclopedia of Mathematics and its Applications",
}
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author = "D. Blanchard and F. Murat",
title = "Renormalised solutions of nonlinear parabolic problems
with ${L}\sp1$ data: existence and uniqueness",
journal = j-PROC-R-SOC-EDINB-SECT-A-MATH,
volume = "127",
number = "6",
pages = "1137--1152",
year = "1997",
CODEN = "PEAMDU",
ISSN = "0308-2105",
fjournal = "Proceedings of the Royal Society of Edinburgh. Section
A. Mathematics",
}
@Book{Bliss:1946:LCV,
author = "G. A. Bliss",
fullauthor = "Gilbert A. Bliss",
title = "Lectures on the Calculus of Variations",
publisher = pub-U-CHICAGO,
address = pub-U-CHICAGO:adr,
pages = "ix + 296",
year = "1946",
}
@Article{Boccardo:1988:EBS,
author = "L. Boccardo and F. Murat and J.-P. Puel",
title = "Existence of bounded solutions for nonlinear elliptic
unilateral problems",
journal = j-ANN-MAT-PURA-APPL-4,
volume = "152",
pages = "183--196",
year = "1988",
CODEN = "ANLMAE",
ISSN = "0003-4622",
fjournal = "Annali di Matematica Pura ed Applicata. Serie Quarta",
}
@Article{Boccardo:1988:QPO,
author = "L. Boccardo and F. Murat and J.-P. Puel",
title = "Quelques propri{\'e}t{\'e}s des op{\'e}rateurs
elliptiques quasi lin{\'e}aires",
journal = j-C-R-ACAD-SCI-PARIS-SER-I-MATH,
volume = "307",
number = "14",
pages = "749--752",
year = "1988",
CODEN = "CASMEI",
ISSN = "0249-6291",
fjournal = "Comptes Rendus des S{\'e}ances de l'Acad{\'e}mie des
Sciences. S{\'e}rie I. Math{\'e}matique",
}
@Article{Boccardo:1989:ERS,
author = "L. Boccardo and F. Murat and J.-P. Puel",
fullauthor = "Lucio Boccardo and F. Murat and J.-P. Puel",
title = "Existence results for some quasilinear parabolic
equations",
journal = j-NONLINEAR-ANAL,
volume = "13",
number = "4",
pages = "373--392",
year = "1989",
CODEN = "NOANDD",
ISSN = "0362-546X",
fjournal = "Nonlinear Analysis",
}
@InProceedings{Boccardo:1989:ESW,
author = "L. Boccardo and J. I. D{\'\i}az and D. Giachetti and
F. Murat",
booktitle = "Recent advances in nonlinear elliptic and parabolic
problems (Nancy, 1988)",
title = "Existence of a solution for a weaker form of a
nonlinear elliptic equation",
publisher = "Longman Sci. Tech.",
address = "Harlow",
pages = "229--246",
year = "1989",
note = "To appear.",
series = "Pitman Research Notes in Ma\-the\-matics Series",
abstract = "Consider the nonlinear elliptic equation
\setcounter{equation}{0} \begin{equation} - div (A \
grad \ u) - div (\phi(u)) = f \ \mbox{in} \ \Omega, u
\in H{_{0}^{1}}(\Omega) \end{equation}, where $A$ is a
${(L^\infty(\Omega))}^{N \times N}$ coercive matrix, $f
\in H{^{-1}}(\Omega)$ and $\phi \in {(C^0(R))}^N$; no
growth restriction is assumed on $\phi$; thus the term
$div (\phi(u))$ cannot be understood in the
distributional sense. In this paper we prove the
existence of a solution of \setcounter{equation}{1}
\begin{equation} [- div (A \ grad \ u)] h(u) - div
(\phi(u) h(u) ) + \phi(u)h'(u) \ grad \ u = f h(u) \
\mbox{in} \ \Omega, \forall h \in C{_{c}^{1}}(\Omega)
\end{equation} where in contrast with (1) every term
has a meaning in $D'(\Omega)$ if $u \in
H{{_0}{^1}}(\Omega)$. Equation (2) is a weaker form of
the original problem, obtained in a formal way through
a pointwise multiplication of (1) by $h(u)$.",
}
@Article{Boccardo:1990:GTH,
author = "L. Boccardo and D. Giachetti and F. Murat",
title = "A generalization of a theorem of {H. Br{\'e}zis} \&