Correctors and error estimates in the homogenization of a Mullins–Sekerka problem
Geometrically nonlinear shape-memory polycrystals made from a two-variant material
Geometrically nonlinear shape-memory polycrystals made from a two-variant material
Bhattacharya and Kohn have used small-strain (geometrically linear) elasticity to analyze the recoverable strains of shape-memory polycrystals. The adequacy of small-strain theory is open to question, however, since some shape-memory materials recover as much as percent strain. This paper provides the first progress toward an analogous geometrically nonlinear theory. We consider a model problem, involving polycrystals made from a two-variant elastic material in two space dimensions. The linear theory...
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