List of publications
Patent:
A. Cherkaev. A.Melnic, T.Romanova, I.Poljakova, A.Mjagy. Dynamic
head of loudspeaker. Author's certificate N1304177 of
12.15.1986. (in Russian)
Papers (in the chronological order):
 K. Lurie, A. Cherkaev. On applying Prager`s theorem to the
problems of optimal design of thin plates.  Mechanics of
Solids (Izv. Acad. Sci. USSR, MTT), 1976, N.6, pp. 157159.
 A. Cherkaev. On the problem of formulating the problem of
optimal design of freely oscillating structures. PMM (J.
Appl. Math. and Mech.), 1978, 42, N.1, pp. 194197.
 J.L.Armand, K.Lurie, A. Cherkaev. On solution of problems
of optimization of eigenvalues in designing elastic
constructions.  Mechanics of Solids (Izv. Acad. Sci. USSR,
MTT), 1978.
 K.Lurie, A.Cherkaev. Inhomogeneous bar of extremal torsion
rigidity. in: Nonlinear problems of engineering mechanics.
Optimization of constructions, Kiev, 1978. pp. 8089. (in
Russian)
 the note "in Russian" means that there is no English
translation available.
 Yu.Bulatov, A.Cherkaev. On the optimal form of an axis of
an elastic curved bar.  in: Methods and facilities of
mathematical modeling, AlmaAta, pp. 8793. (in Russian)
 A. Cherkaev. Some problems of optimal design of elements of
elastic structures.  Ph.D. Thesis, 130p., 1979. (in Russian)
 N.Lavrov, K.Lurie, A.Cherkaev. Inhomogeneous bar of
extremal torsion rigidity.  Mechanics of Solids (Izv. Acad.
Sci.), 1980, N.6.
 K.Lurie, A.Fedorov, A.Cherkaev. On limiting facilities of
design of elastic plates.  Proceedings of XII Soviet
Conference on theory plates and shells, Yerevan, 1980, v. 3,
pp. 2530. (in Russian)
 K.Lurie, A.Fedorov, A.Cherkaev. Regularization of optimal
problems of design of bars and plates and solving the
contradictions in a system of necessary conditions of
optimality. J. Opt. Theory Appl. , 1982, v. 37, N. 4, pp.
499522 (part 1), 523542 (part 2).
* The preliminary version of two parts of the last paper
has been earlier published separately in Russian as:
 Regularization of optimal problems of design of bars and
plates and solving the contradictions in a system of
necessary conditions of optimality.  Report N. 667,
Physical Technical. Inst. Acad. Sci. USSR, 1980, 60 pp. (in
Russian)
 On existence of the solutions of some problems of optimal
design of bars and plates. Report N. 668, Physical
Technical. Inst. Acad. Sci. USSR., 1980, 43 pp. (in Russian)
 N.Olhoff, K.Lurie, A.Fedorov, A. Cherkaev. Sliding regimes
and anisotropy in optimal design of vibrating axisymmetric
plates. Int. J. of Solids and Structures, 1981, 17, No. 10,
pp. 931948.
* Preliminary version has been published as:
 Report N. 192, The Technical University of Denmark, 1980,
34 pp.
 K.Lurie, A. Cherkaev. Editor's supplement to the Russian
translation of the book by N.Olhoff ``Optimal design of
elastic construction elements (problems of vibration and loss
of stability)" M. Mir, 1981. 16p. (in Russian).
 K.Lurie, A. Cherkaev. Exact estimates of conductivity of
mixtures composed of two materials taken in prescribed
proportion (plane problem). Doklady Akademii Nauk SSSR, 1982,
264, N.5, pp. 11281130.
 K.Lurie, A. Cherkaev. Exact estimates of conductivity of
mixtures composed of two isotropic media taken in prescribed
proportion. Proceed. Roy. Soc. Edinburgh, sect. A, 1984, 99
(P12), pp. 7187.
* First has been published in Russian in 1982 :
 K.Lurie, A. Cherkaev. Report 783, Physical Technical.
Inst. Acad. Sci. USSR, 1982, 32p. (in Russian).
 A.Fedorov, A. Cherkaev. Choosing of optimal orientation of
axes of elastic symmetry of orthotropic plate.  Mech. Solids,
(Izv. Acad. Sci. USSR, MTT) ,1983, No. 3, pp. 135142.
 K.Lurie, A. Cherkaev. Gclosure of a set of conducting
media ( twodimensional problem).  Doklady Akademii Nauk
SSSR, 1981, 259, N.2, pp. 238241.
 K. Lurie, A. Cherkaev. Gclosure of a set of anisotropic
conducting media in the twodimensional case. J. Opt. Theory
Appl. , 1984, 42, N.2, pp. 283304.
 K.Lurie, A. Cherkaev. Gclosure of some particular sets of
admissible material characteristics for the problem of bending
of the thin elastic plates. J. Opt. Theory Appl. , 1984, 42,
N.2, pp. 305316.
* First has been published as:
 Report N. 213, The Technical University of Denmark, 1981,
18 pp.; J. Opt. Theory Appl. , 1984, 42, N.2, pp. 305316.
 J.L.Armand, K.Lurie, A. Cherkaev. Optimal control theory
and structural design.  In: New directions in optimal
structural design, H.Atreck, R.H.Gallagher, O.C.Zienkewicz
eds., Wiley, 1984, pp. 211229.
 L.Gibiansky, A. Cherkaev. Optimal design of composite
plates. Proceedings of Soviet Conference ``Problems of
reduction of specific consumption of materials of load bearing
units". Gorkiy, 1984, pp. 2728. (in Russian)
 K.Lurie, A. Cherkaev. Exact estimates of conductivity of a
binary mixture of isotropic compounds. Proceedings R. Soc.
Edinburgh, sect. A, 1986, 104 (P12), pp. 2138.
* First has been published in Russian as:
 Report N.894, Physical Technical. Inst. Acad. Sci. USSR,
1984, 26 pp.
 K.Lurie, A. Cherkaev. The problem of formation of an
optimal isotropic multicomponent composite.  Report No. 895,
Physical Technical. Inst. Acad. Sci. USSR, 1984, 32 pp. (in
Russian)
 K.Lurie, A. Cherkaev. Optimal design of elastic bodies and
the problem of regularization.  Dynamics and strength of
mechanisms, 1984, No. 40/80, pp. 2531. (in Russian)
 K.Lurie, A. Cherkaev. Effective characteristics of
composites and problems of optimal design.  Advances of
mathematical sciences, 1984, v.39, N.4(238), pp. 122.
English translation in: Topics in the mathematical
modeling of composite materials, A.Cherkaev and R. Kohn
editors, Birkhausen, NY, 1997.
 L. Gibiansky, A. Cherkaev. Design of composite plates of
extremal rigidity. Report 914. Physical Technical. Inst.
Acad. Sci. USSR, Leningrad, 1984, 60 pp.
English translation in: Topics in the mathematical
modeling of composite materials, A.Cherkaev and R. Kohn
editors, Birkhausen, NY, 1997.
 L. Gibiansky, A. Cherkaev. Exact estimates of energy of
deformation of elastic composite plates; application to the
problems of optimal design.  Proceedings of II Soviet
``Strength, rigidity and adaptability to manufacture
structures from composite materials", Yerevan, 1984, v.1, pp.
171176. (in Russian)
 K. Lurie, A. Cherkaev. Method of deriving the exact
estimates of effective constants of composites. Problems of
nonlinear mechanics of continuous medium, 1985, Tallinn, pp.
6372. (in Russian)
 S. Vigdergauz, A. Cherkaev. A hole in a plate, optimal for
its biaxial extension compression. PMM J. Appl. Math. and
Mech., 1986, v.50, N.3, pp. 401404.
 K. Lurie, A. Cherkaev. Optimization of properties of
multicomponent isotropic composites.  J. Optimization. Theory
and Applications., 1985, 46, N.4, pp. 571580.
 L. Gibiansky, K. Lurie, A. Cherkaev. Optimum focusing of
heat flux by means of a inhomogeneous heat conducting medium.
 Report 305, The Technical University of Denmark, 1985. 11
pp.
 A. Cherkaev. Relaxation of nonconvex multidimensional
problems by means of constructing quasiconvex envelopes.
Advances of mathematical sciences, 1986, v. 41, No. 4 (250).
(in Russian)
 L.Gibiansky, A. Cherkaev. Microstructures of composites of
extremal rigidity and exact estimates of provided energy
density.  Report 1115. Physical Technical. Inst. Acad. Sci.
USSR, Leningrad, 1987. (in Russian) .
English translation in: Topics in the mathematical
modeling of composite materials, A.Cherkaev and R. Kohn
editors, Birkhausen, NY, 1997.
 L.Gibiansky, Yu. Malinin, A. Cherkaev. Optimal Distribution
of Viscoelastic Materials in axisymmetric Constructions. 
Report N.1116, Physical Technical. Inst. Acad. Sci. USSR,
Leningrad, 1987, 41 pp. (in Russian)
 A. Cherkaev. A.Melnic, T.Romanova, I.Poljakova, A.Mjagy.
Dynamic head of loudspeaker. Author's certificate N1304177
of 12.15.1986. (in Russian)
 L. Gibiansky, A. Cherkaev. Optimal design of nonlinear
elastic and plasticelastic bars under torsion.  Mechanics of
solids ( Izv. Acad. Sci. USSR, MTT), 1988, N. 5, pp. 168174.
 K.Lurie, L.Gibiansky, A. Cherkaev. Optimal focusing of heat
flow by heterogeneous heat conducting media (thermolens
problem).  J. Tech.. Physics. (Zhurnal. Tech. Fiziki.) Acad.
Sci. USSR, 1988, 58, N.1, pp. 6774.
 M. Avellaneda, A. Cherkaev, K. Lurie, G. Milton. On the
effective conductivity of polycrystals and a 3 dimensional
phaseinterchange inequality. J. Appl. Phys., 1988, 63, N.10,
49895003.
 L. Gibiansky, A. Cherkaev. The set of tensor pairs of
dielectric and magnetic permeabilities of twophase
composites. Report N. 1286, Physical Technical. Inst. Acad.
Sci. USSR, 1988, 51 pp. (in Russian)
 A. Cherkaev. Optimization the structure of inhomogeneous
bodies by variational methods.  Dissertation for degree
``Doctor of Physics and Mathematics". Leningrad State
University, 1988. 330 pp. (in Russian)
 K. Lurie, A. Cherkaev. On a certain variational problem of
phase equilibrium. In: Material Instabilities in Continuum
Mechanics and Related Mathematical Problems, ed. by J. Ball,
Clarendon Press, Oxford, 1988, pp. 257268.
 M. Avellaneda, A. Cherkaev, K. Lurie, G. Milton.
Conductivity of polycrystals and a phase interchange
inequality. Physica A, 1989, 157, N.1, pp. 148153.
 A. Cherkaev, L.Gibiansky, V.Serikov N. Serikova, Yu.
Malinin. Membrane surface forms during local change of surface
energy applications to endocytosis processes. Biologicheskie
membrany, 7, No. 3, 1990 pp. 326334 (in Russian).
 A. Cherkaev. On the optimization of rigidity of an elastic
construction.  Proceedings of Leningrad Shipbuilding Inst.
Seria ``Applied Mathematics". 1990, pp. 2534. (in Russian)
 A. Cherkaev, L. Gibiansky. The exact coupled bounds for
effective tensors of electrical and magnetic properties of
twocomponent twodimensional composites. 42 pp.  Proceed. of
Royal Soc. of Edinburgh, (1992) v, 122A, pp. 93125 .
 A. Cherkaev, L. Gibiansky. Coupled estimates for the bulk
and shear moluli of a twodimensional isotropic elastic
composite. J. Mech. Pays. Solids 41 (5), 937980, 1993.
 A. Cherkaev, L. Gibiansky. Improving the HashinStrickman
estimates by means of the translation method.  Proceedings of
SIAM workshop in micromechanics. Leesburgh, Virginia, 1991.
 A. Cherkaev, G.W.Milton and K.A.Lurie. Invariant properties
of the stress in plane elasticity and equivalence classes of
composites. Proc Royal Soc. London. A (1992), v. 438, pp.
519529.
 A. Cherkaev. Stability of optimal structures of elastic
composites. In: Topology Design of Structures. M.Bendsoe and
C.A.Mota Soares  editors. p. 547558, Kluwer, 1992.
 A. Cherkaev. Conducting and Elastic Composites of Optimal
Structures. In: Structural Optimization 93, J.Hersovits  ed.,
vol. 1, pp. 377 385. ABCM, Brazil, 1993
 A. Cherkaev, L. Gibiansky. Variational principles for
complex conductivity, viscoelasticity and similar problems in
media with complex moduli. J. of Math. Physics 35 (1), pp.
119, 1994
 A. Cherkaev. Relaxation of problems of optimal structural
design. Int. J. of Solids and Structures 31, N0 16, pp
22512280, 1984.
 A. Cherkaev. Reducing of optimal design problems to the
minimal variational problem. 34 pp. Submitted to: Proceedings
of the second Workshop on Composite Media and Homogenization
in Truest. Dal Maso editor.
 A. Cherkaev, L. Gibiansky. Extremal structures of
multiphase composites. Int. J. of Solids and Structures JSS
33(18), 26092623.
 A. Cherkaev, L. Slepyan. Waiting element structures and
stability under extension. J. of Appl. Mechanics, 4, (1995),
pp 5882.
 A. Cherkaev, R.Palais Optimal design of threedimensional
axisymmetric structures. Int. J. of Structural optimization.
 M. Avellaneda, A. Cherkaev, L.Gibiansky, G.W.Milton, M.
Rudelson. Complete characterization of possible isotropic
effective tensors of polycrystals in planar elasticity
(orthotropic monocrystal). Journal of Mechanics and Physics of
Solids 44(7) 11791218.
 E.Cherkaeva and A.Cherkaev, Bounds for delectability of
material damage by noisy electrical measurements, Structural
and Multidisciplinary Optimization, WCSMO1 First World
Congress of Structural and Multidisciplinary Optimization.
N.Olhoff and G.I.N.Rozvany  eds., Pergamon 1995. pp. 543548.
 A. Cherkaev, R.Palais. Optimal Design of threedimensional
Elastic Structures. WCSMO1 First World Congress of Structural
and Multidisciplinary Optimization N.Olhoff and G.I.N.Rozvany
 eds., Pergamon 1995. pp. 201  206.
 A. Cherkaev. What Structures are Optimal for a General
Problem of Structural Design? WCSMO1 First World Congress of
Structural and Multidisciplinary Optimization N.Olhoff and
G.I.N.Rozvany  Des, Pergamon 1995. pp. 219224.
 G.W.Milton, A.Cherkaev. Which elasticity tensors are
realizable? J of Eng. Mat. and Technology, 117, 1995 pp
483493
 A. Cherkaev, R.Palais. NISTCTCMS International Workshop on
Optimal Design for Materials and Structures. Structural
Optimization 13 (1) 1997. pp 14.
 T. Burns A. Cherkaev. Optimal distribution of multimaterial
composites for torsion beams. Structural Optimization 13 (1)
1997. pp 14.
 A. Cherkaev, R. Kohn. Introduction. In: Topics in the
Mathematical Modeling of Composite Materials, A.Cherkaev and
R. Kohn eds., Birkhauser, 1997.
 Cherkaev, A. V., Grabovsky, Y., Movchan, A. B. and Serkov,
S. K. Optimality of dilute composites under shear load, in
"IUTAM Symposium on Transformation Problems in Composite and
Active Materials" Proceedings of the IUTAM Symposium held in
Cairo, Egypt, 912 March 1997 G. M. L. Gladwell, Yehia A., Y.
A. BaheielDin and G. J. Dvorak, eds., pp. 285300, Springer
Netherlands, 2002. final publication.
 Cherkaev, A. V., Grabovsky, Y., Movchan, A. B. and Serkov,
S. K. The cavity of the optimal shape under shear stresses,
Int. J. Solids Struct., 35, No. 33, pp. 43914410, 1998.
 E. Cherkaeva and A. Cherkaev, Bounds for detectability of
material damage by noisy electrical measurements. In:
Structural and multidisciplinary optimization, N. Olhoff and
G.I.N.Rozvany eds, Pergamon, 1995, pp. 543548.
 A. Cherkaev. Necessary conditions technique in optimization
of structures. Accepted in J. Mech. Phys. Solids.
 E.Cherkaeva and A.Cherkaev. Optimal design for uncertain
loading conditions. In: Homogenization, V.Berdichevsky,
V.Jikov, and G.Papanicolaou, eds., World Scientific, 1999,
193213.
 A. Cherkaev. L. Krog and I. Kucuk. Stable Optimal design of
twodimensional structures made from optimal composites.
Control and Cybernetics, v.27, n.2, 1998, pp. 265282,
 E.Cherkaeva, A.Cherkaev. Structural optimization and
biological "designs". In: Proceedings of IUTAM Symposium:
Synthesis in bio solid mechanics. M.Bendsoe and P.Pedersen
eds., Kluwer, 1998.
 A. Cherkaev, R.Palais. Optimization of Elastic Structures.
Axisymmetric Problem. In: Structural Dynamic Systems.
Computational Techniques and Optimization. Optimization
Techniques. C.T. Leondes ed, Gorgon and Breach Sc. Publ.
1999, pp. 237 267.
 A. Cherkaev. Variational Approach to Structural
Optimization. In: Structural Dynamic Systems. Computational
Techniques and Optimization. Optimization Techniques. C.T.
Leondes ed, Gorgon and Breach Sc. Publ. 1999, pp. 199  237.
 A.Cherkaev and I. Kucuk. Equally stressed structures:
Twodimensional perspective. In: Topology Optimization of
Structures and Composite Continua, G.I.N.Rozvany and N.Olhoff
eds. Kluwer 2000, 251266.
 A. Balk, A. Cherkaev, and L. Slepyan Dynamics of solids
with nonmonotone stressstrain relations. I. Model and
numerical experiments. J. Mech. Phys. Solids, 49 (2001)
131148.
 A. Balk, A. Cherkaev, and L. Slepyan Dynamics of solids
with nonmonotone stressstrain relations. II. Nonlinear waves
and waves of phase transition. J. Mech. Phys. Solids. 49
(2001) 149172.
 Andrej Cherkaev, Ismail Kucuk Detecting stress fields in an
Optimal Structure I: Twodimensional Case and Analyzer Int.J
Struct. Opt. January 2004 pp 115
 Andrej Cherkaev, Ismail Kucuk Detecting stress fields in an
Optimal Structure II: Threedimensional Case, Int. J Struct.
Opt. January 2004 pp 1524.
 Andrej Cherkaev, Liya Zhornitskaya Dynamics of damage in
twodimensional structures with waiting links In: Asymptotics,
Singularities and Homogenisation in Problems of Mechanics,
A.B.Movchan editor, Kluwer 2004. pp 273  284,
 E. Cherkaev and A. Cherkaev, Principal compliance and
robust optimal design, The Rational Spirit in Modern Continuum
Mechanics, Essays and Papers Dedicated to the Memory of
Clifford Ambrose Truesdell III, 2003, Also in: Journal of
Elasticity, 2003, 72, 7198.
 Andrej Cherkaev. Approaches to nonconvex variational
problems of mechanics In: Nonlinear homogenization and its
applications to composites, polycrystals and smart materials.
P.Ponte Castaneda, J.J.Telega and B. Gamblin eds., Kluwer
2004. pp. 65106. (NATO Science Series, Mathematics, Physics
and Chemistry v. 170)
 Seubpong Leelavanishkul and Andrej Cherkaev. Why grains in
the tree's trunk spiral: mechanical perspective Structural and
Multidisciplinary Optimization, 28, 23, 2004, pp. 127  135.
 A. Cherkaev, E. Cherkaev, and L. Slepyan, Transition waves
in bistable structures I: Delocalization of damage, J. Mech.
Phys. Solids, Vol 53/2 pp 383405, 2005.
 L. Slepyan, A. Cherkaev, and E. Cherkaev, Transition waves
in bistable structures II: Analytical solution, wave speed,
and energy dissipation, J. Mech. Phys. Solids, Vol 53/2 pp
407436, 2005.
 A.Cherkaev and L.Zhornitskaya. Protective Structures with
waiting links and their damage elovulion. Multibody System
Dynamics Journal. Multibody System Dynamics Journal. Volume
13, Number 4 May, 2005
 Andrej Cherkaev, Vladimir Vinogradov, Seubpong
Leelavanishkul. The waves of damage in elasticplastic
lattices with waiting links: design and simulation. Mechanics
of Materials 38, 748756, 2005.
 N. Albin, A. Cherkaev Optimality conditions on fields in
microstructures and controllable differential schemes (2006)
pdf Postscript version In: Inverse Problems, MultiScale
Analysis, and Effective Medium Theory. Habib Ammari and
Hyeonbae Kang  editors. Series: Contemporary Mathematics
number 408 pp 137150.
 N. Albin, A. Cherkaev and V. Nesi A class of optimal
twodimensional multimaterial conducting laminates (2005) pdf
In: IUTAM Symposium on Topological Design Optimization of
Structures, Machines and Materials Status and Perspectives,
SERIES = {Solid Mechanics and Its Applications}, AMS 2006.
VOLUME = {137},
 Andrej Cherkaev, Elena Cherkaev and Leonid Slepyan.
Dynamics of Structures with Bistable Links. In: Vibration
Problems ICOVP 2005 Springer, 2007, Volume 111, 111122,
 Elena Cherkaev, Andrej Cherkaev. Minimax optimization
problem of structural design. Computers and Structures 86
(2008) 14261435
 A. Cherkaev *, V. Vinogradov, S. Leelavanichkul The waves
of damage in elasticāplastic lattices with waiting links:
Design and simulation. Mechanics of Materials, 2006
 A. Cherkaev, Y. Zhang Optimal structures of multiphase
elastic composites 8th World Congress on Structural and
Multidisciplinary Optimization June 1  5, 2009, Lisbon,
Portugal
 A. Cherkaev, E. Cherkaev, S. Leelavanichkul Principles of
optimization of structures against an impact, 8th World
Congress on Structural and Multidisciplinary Optimization June
1  5, 2009, Lisbon, Portugal
 A.Cherkaev, A, Kouznetsov, A.Panchenko. Still states of
bistable lattices, compatibility, and phase transition. 2009.
Continuum Mechanics and Thermodynamicsm 22, 68, 421444,
 N. Albin, A. Cherkaev and V. Nesi Optimal structures of
multimaterial composites. Journal of the Mechanics and Physics
of Solids Volume 55, Issue 7, July 2007, Pages 15131553
 Cherkaev, A.; Vinogradov, V.; Leelavanichkul, S. 2006: The
waves of damage in elasticplastic lattices with waiting
links: Design and simulation. In: /Mechanics of Materials/
*38*, pp. 748  756
 Leelavanichkul, S.; Cherkaev, A. 2009: Elastic Cylinder with
Helicoidal Orthotropy: Theory and Applications. In:
/International Journal of Engineering Science/. *47*(1), pp 1
 20
 Cherkaev, A., 2009. Bounds for effective properties of
multimaterial twodimensional conducting composites and fields
in optimal composites. Mechanics of Materials 41, 411433
 Leelavanichkul, S.; Cherkaev, A.; Adams, D.; Solzbacher, F.
2009: Energy Absorption of a Helicoidal Bistable Structure.
In: /Journal of Mechanics of Materials and Structures/ *5*(2),
pp. 305  321
 A.Movchan, A.Cherkaev, J.Dempsey, M.AyzenbergStepanenko
and E.Sher 2009. Preface to the special issue in honour of
Leonid Slepya Continuum Mechanics and Thermodynamics Volume
22, Numbers 68, 413419,
 Cherkaev, A; Cherkaev, E.; Leelavanichkul, S. 2011:
Principle of Optimization of Structures Against an Impact.
In:/Journal of Physics: Conference Series/ *319*(1), pp. 1 
16
 Cherkaev, A., Zhang, Y. 2011. Optimal anisotropic
threephase conducting composites: Plane problem.
International Journal of Solids and Structures 48 (20), pp.
28002813
 Cherkaev, A. 2011. Optimal ThreeMaterial Wheel Assemblage
of Conducting and Elastic Composites. International Journal of
Engineering Science, Volume 59, October 2012, Pages 2739.
 Cherkaev, A.; Leelavanichkul, S. 2012: An Impact Protective
Structure with Bistable Links. International Journal of Damage
Mechanics vol. 21 no. 5, 697711.
 Andrej Cherkaev, Alexander D. Pruss. 2012. Effective
Conductivity of Spiral and other Radial Symmetric Assemblages
Mechanics of Materials Volume 65, Pages 103109.
 Andrej Cherkaev, Grzegorz Dzierzanowski. 2013. Threephase
plane composites of minimal elastic stress energy:
Highporosity structures. Accepted in Int. J. Solids and
Structures. http://arxiv.org/abs/1302.2729
 Nathan
Briggs, Andrej
Cherkaev, Grzegorz
Dzierzanowski. A Note on Optimal Design of
Multiphase Elastic Structures, arXiv:1302.272. Submitted
to Structural and Multidisciplinary Optimization.
World Wide Web publications:
Math on line: http://www.math.utah.edu/~cherk/mathonline.html

the summary website
 Math. comics: "Serious"
applied math problems in pictures
 A. Cherkaev, E. Cherkaev. A
detection problem with limited resolution
http://www.math.utah.edu/~cherk/inverse.html
 A. Cherkaev, E. Cherkaev.
Design for uncertain load: A minmax game
http://www.math.utah.edu/~cherk/comics2/ab.html
 A. Cherkaev. Mystery of spiral
trees.
http://www.math.utah.edu/~cherk/spiraltrees/story.html
 A. Cherkaev Optimal shapes of
holes in an elastic plane
http://www.math.utah.edu/~cherk/holes/index.html
 A. Cherkaev, E. Cherkaev.
Mathematical Methods for Structured Materials
http://www.math.utah.edu/~cherk/mathmat.html  in progress
 Math Education
 A. Cherkaev. Selected Graduate
Courses (curriculum and notes)
 M7710 Homogenization and
Structural Optimization:
http://www.math.utah.edu/~cherk/teach/7710.html
 Optimization
Methods:
http://www.math.utah.edu/~cherk/teach/opt/course.html
 A. Cherkaev, E. Cherkaev, and
B.Palais. Unifying Themes for Undergraduate Math
Online http://www.math.utah.edu/~cherk/ccli/index.html
 A. Cherkaev, B.Palais.
Mathematicians expand their worlds (in progress)
http://www.math.utah.edu/~cherk/ccli/expans/inver/inver.html
 Math recreation: A bit of
folklore, a bit of philosophy, a bit of fun
 A. Cherkaev, E. Cherkaev.
Collection of math jokes, proverbs and anecdotes
http://www.math.utah.edu/~cherk/mathjokes.html
 A. Cherkaev, E. Cherkaev.
Collection of math puzzles.
http://www.math.utah.edu/~cherk/puzzles.html