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Andrej Cherkaev
Andrej Cherkaev
Professor of Mathematics, University of Utah
Verified email at math.utah.edu - Homepage
Title
Cited by
Cited by
Year
Which elasticity tensors are realizable?
GW Milton, AV Cherkaev
5571995
Variational methods for structural optimization
A Cherkaev
Springer Science & Business Media, 2012
5242012
Exact estimates of conductivity of composites formed by two isotropically conducting media taken in prescribed proportion
KA Lurie, AV Cherkaev
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 99 (1-2 …, 1984
3031984
Regularization of optimal design problems for bars and plates, part 1
KA Lurie, AV Cherkaev, AV Fedorov
Journal of Optimization Theory and Applications 37, 499-522, 1982
2401982
Topics in the mathematical modelling of composite materials
A Cherkaev, R Kohn
Birkhäuser, 1997
2331997
Invariant properties of the stress in plane elasticity and equivalence classes of composites
AV Cherkaev, KA Lurie, GW Milton
Proceedings of the Royal Society of London. Series A: Mathematical and …, 1992
1441992
G-closure of a set of anisotropically conducting media in the two-dimensional case
KA Lurie, AV Cherkaev
Journal of optimization theory and applications 42, 283-304, 1984
144*1984
On the effective conductivity of polycrystals and a three‐dimensional phase‐interchange inequality
M Avellaneda, AV Cherkaev, KA Lurie, GW Milton
Journal of applied physics 63 (10), 4989-5003, 1988
1421988
Exact estimates of the conductivity of a binary mixture of isotropic materials
KA Lurie, AV Cherkaev
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 104 (1 …, 1986
1381986
G-closure of some particular sets of admissible material characteristics for the problem of bending of thin elastic plates
KA Lurie, AV Cherkaev
Journal of Optimization Theory and Applications 42, 305-316, 1984
1281984
" Effective Characteristics of Composite Materials and the Optimal Design of Structural Elements
KA Lurie, AV Cherkaev
Topics in the mathematical modelling of composite materials, 175-271, 2018
1272018
Coupled estimates for the bulk and shear moduli of a two-dimensional isotropic elastic composite
AV Cherkaev, LV Gibiansky
Journal of the Mechanics and Physics of Solids 41 (5), 937-980, 1993
1121993
Design of composite plates of extremal rigidity
LV Gibiansky, AV Cherkaev
Topics in the mathematical modelling of composite materials, 95-137, 2018
1062018
Dynamics of chains with non-monotone stress–strain relations. I. Model and numerical experiments
AM Balk, AV Cherkaev, LI Slepyan
Journal of the Mechanics and Physics of Solids 49 (1), 131-148, 2001
1032001
Variational principles for complex conductivity, viscoelasticity, and similar problems in media with complex moduli
AV Cherkaev, LV Gibiansky
Journal of Mathematical Physics 35 (1), 127-145, 1994
991994
Transition waves in bistable structures. II. Analytical solution: wave speed and energy dissipation
L Slepyan, A Cherkaev, E Cherkaev
Journal of the Mechanics and Physics of Solids 53 (2), 407-436, 2005
952005
The exact coupled bounds for effective tensors of electrical and magnetic properties of two-component two-dimensional composites1
AV Cherkaev, LV Gibiansky
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 122 (1 …, 1992
891992
The cavity of the optimal shape under the shear stresses
AV Cherkaev, Y Grabovsky, AB Movchan, SK Serkov
International Journal of Solids and structures 35 (33), 4391-4410, 1998
771998
Transition waves in bistable structures. I. Delocalization of damage
A Cherkaev, E Cherkaev, L Slepyan
Journal of the Mechanics and Physics of Solids 53 (2), 383-405, 2005
732005
Optimal design for uncertain loading condition
A Cherkaev, E Cherkaeva
Homogenization: in memory of Serguei Kozlov, 193-213, 1999
731999
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