Optimal material layout for 3D elastic structures

Homogenization and optimal bounds in linear elasticity

Gilles A. Francfort, François Murat · Archive for Rational Mechanics and Analysis · 1986 · 407 citations

Engineering, Mathematics, Computational Mechanics +13

Variational bounds on the effective moduli of anisotropic composites

Graeme W. Milton, Robert V. Kohn · Journal of the Mechanics and Physics of Solids · 1988 · 288 citations

Engineering, Materials Engineering, Materials Science +16

Optimal design for minimum weight and compliance in plane stress using extremal microstructures

Grégoire Allaire, Robert V. Kohn · European Journal of Mechanics - A/Solids · 1993 · 238 citations

Natural Sciences, Materials Engineering, Materials Science +17

Exact estimates of conductivity of composites formed by two isotropically conducting media taken in prescribed proportion

K. A. Lurie, Andrej Cherkaev · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1984 · 232 citations

Natural Sciences, Materials Engineering, Materials Science +10

Optimal Bounds and Microgeometries for Elastic Two-Phase Composites

M. Avellaneda · SIAM Journal on Applied Mathematics · 1987 · 183 citations

Natural Sciences, Materials Engineering, Materials Science +17