Recent Papers:
- A. Cherkaev, E. Cherkaev, and L. Slepyan,
Transition waves in bistable structures I: Delocalization
of damage. J. Mech. Phys. Solids, 2004.
In print (pdf.file).
- L. Slepyan, A. Cherkaev, and E. Cherkaev,
Transition waves in bistable structures II: Analytical
solution, wave speed, and energy dissipation. J. Mech. Phys.
Solids, 2004. In print (pdf.file).
- E. Cherkaev and A. Cherkaev, Principal compliance
and robust optimal design, Journal of Elasticity, 2003, v.72, 71-98. Also
in: The Rational Spirit in Modern Continuum Mechanics, Essays and
Papers Dedicated to the Memory of Clifford Ambrose Truesdell III, 2003 (pdf.file).
- E. Cherkaev, Spectral coupling of effective
properties of a random mixture, IUTAM Symposium
on Asymptotics, Singularities and Homogenisation
in Problems of Mechanics,
A.B. Movchan, ed., Kluwer Academic Press, 2003, 304-313
(pdf.file)
- E. Cherkaev and D. Zhang, Coupling of the effective
properties of a random mixture through the reconstructed
spectral representation, ETOPIM Proceedings, Physica B, 2003, 338, 1-4, 16-23
(pdf.file)
- E. Cherkaev, Inverse homogenization for
evaluation of effective properties of a mixture, Inverse Problems,
2001, 17, 1203-1218 (ps.file, pdf.file)
- H. Bertete-Aguirre, E. Cherkaev, and
M. Oristaglio, Non-smooth gravity problem with total variation penalization
functional, Geophys. Journal International, 2002, 149, 499-507
(pdf.file)
- E. Cherkaev, A new inversion method for dissipating
electromagnetic problem, Fifth International Conference on Mathematical
and Numerical Aspects of Wave Propagation, A. Bermudez et al., eds.,
SIAM, 2000, 637-642 (ps.file, pdf.file)
- E. Cherkaeva and K. Golden, Inverse bounds
for microstructural parameters of composite media derived from complex
permittivity measurements, Waves in Random Media, 1998, 8, 437-450
(ps.file,
pdf.file)
- A. Cherkaev and E. Cherkaeva, Optimal design for
uncertain loading conditions, Homogenization, V. Berdichevsky, V.
Jikov, and G.Papanicolaou, eds., World Scientific, 1999, 193-213 (ps.file, pdf.file)
- A. Cherkaev and E. Cherkaeva, Structural optimization
and biological "designs", Solid Mechanics and its Applications, v. 69: Synthesis
in Bio Solid Mechanics, P. Pedersen and M.Bendsoe, eds., 1999, 247-264 (ps.file)
- H. Bertete-Aguirre, E. Cherkaeva, and M. Oristaglio,Non-smooth gravity problem. 68-th Ann. Meeting, Soc. Exploration
Geophys., 1998 (ps.file)
- K.M. Golden, D. Borup, M. Cheney, E. Cherkaeva,
M.S. Dawson, Kung-Hau Ding, A.K. Fung, D. Isaacson, S.A. Johnson, A.K. Jordan,
J.A. Kong, Ronald Kwok, Son V. Nghiem, R.G. Onstott, J.Sylvester, D.P. Winebrenner,
and I.H.H. Zabel, Inverse electromagnetic scattering for sea ice. IEEE Trans.
on Geoscience and Remote Sensing, 1998, 36, 5, 1675-1704.
- E. Cherkaeva and A.C. Tripp, On optimal design
of transient electromagnetic waveforms. Expanded Abstracts, 67th Ann. Meeting,
Soc. Exploration Geophys., 1997, 438-441 (ps.file)
- A.C. Tripp, E. Cherkaeva, and J. Hulen, Bounds on
the complex conductivity of geophysical mixtures. Geophysical Prospecting,
1998, 46, 6, 589-601 (pdf.file)
- E. Cherkaeva and A.C. Tripp, Source optimization
in the inverse geoelectrical problem. In: Inverse Problems in Geophysical
Applications, eds. H.W. Engl, A. Louis, and W. Rundell, SIAM, Philadelphia,
1997, 240-256 (ps.file, pdf.file)
- E. Cherkaeva, Optimal source control and
resolution in nondestructive testing. Structural and Multidisciplinary Optimization,
1997, 13, 1, 12-16 (ps.file)
- E.Cherkaeva and A.C. Tripp,
Optimal survey design using focused resistivity arrays. IEEE, Trans.
Geoscience and Remote Sensing, 1996, 34, 2, 358-366 (pdf.file)
- E. Cherkaeva and A.C. Tripp, Inverse conductivity
problem for inexact measurements, Inverse Problems, 1996, 12,
869-883 (ps.file, pdf.file)
- 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, 543-548 (ps.file,
pdf.file).