Inverse Homogenization:

• E. Cherkaev,  Inverse homogenization for evaluation of effective  properties of a mixture,  Inverse Problems, 2001, 17, 1203-1218    (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)

• 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, 331-340 (pdf.file)

Robust Structural Design

• 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, 2004 (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)

Inverse Problems and Electromagnetic Tomography

• 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  (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. 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 and A.C. Tripp, Inverse conductivity problem for  inexact  measurements, Inverse Problems, 1996, 12, 869-883 (ps.file , pdf.file)

Phase Transition in Bistable Chains

• 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).