Abstract
Progress and puzzles in nonlinear elasticity.- Quasiconvex envelopes in nonlinear elasticity.- Anisotropie polyconvex energies.- Construction of polyconvex energies for non-trivial anisotropy classes.- Applications of anisotropic polyconvex energies: thin shells and biomechanics of arterial walls.- Phase transitions with interfacial energy: convexity conditions and the existence of minimizers.- Nematic elastomers: modelling, analysis, and numerical simulations.- Applications of polyconvexity and strong ellipticity to nonlinear elasticity and elastic plate theory.- ?-convergene e for a geometrically exact Cosserat shell-model of defective elastic crystals.
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