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Data-driven problems in elasticity. (English) Zbl 1402.35276
The authors consider the case of linear elasticity and look for solutions in the phase space of \(L^2\) strain-stress field pairs. “The Data-Driven problem consists in minimizing the distance between a given material data set and the subspace of compatible strain fields and stress fields in equilibrium”. Furthermore, the relaxation of the geometrically linear two-well problem is studied.

MSC:
35Q74 PDEs in connection with mechanics of deformable solids
74B10 Linear elasticity with initial stresses
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