A twodimensional variational model for the equilibrium configuration of an incompressible, elastic body with a three-well elastic potential

Martin Fuchs and Gregory A. Seregin

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Submission date: 02. May. 1999
Pages: 42
published in: Journal of convex analysis, 7 (2000) 2, p. 209-241 
Bibtex
MSC-Numbers: 73C05, 73V25, 73G05

Abstract:
We consider a geometrically linear variational model in two space dimensions for an incompressible, elastic body whose elastic potential has exactly three wells corresponding to one austenitic and to two martensitic phases. Passing to the dual problem we show that the stress tensor is weakly differentiable on the interior of the domain and in addition Hölder continuous on any subset of the union of the pure phases.