Finite order rank-one convex envelopes and computation of microstructures with laminates in laminates

DOI10.1023/A:1022348603727zbMath0996.74006MaRDI QIDQ1592698

Zhiping Li

Publication date: 31 October 2002

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

finite element approximationcrystalline microstructureEricksen-James two-dimensional elastic crystalsfinite order rank-one convex envelopeslaminates in laminatesnon-quasiconvex variational problem

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65) Micromechanical theories (74A60)

Related Items (10)

Multi-atomic Young measure and artificial boundary in approximation of micromagnetics ⋮ Numerical analysis and computation of a multi-order laminated microstructure ⋮ A numerical iterative scheme for computing finite order rank-one convex envelopes ⋮ Numerical approaches for investigating quasiconvexity in the context of Morrey's conjecture ⋮ Computation of length scales for second-order laminated microstructure with surface energy ⋮ An averaging scheme for macroscopic numerical simulation of nonconvex minimization problems ⋮ Computation of the lower semicontinuous envelope of integral functionals and non-homogeneous microstructures ⋮ MULTISCALE MODELLING AND COMPUTATION OF MICROSTRUCTURES IN MULTI-WELL PROBLEMS ⋮ Computations of needle-like microstructures ⋮ A regularized mesh transformation method for the computation of crystalline microstructures

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