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arXiv · 2007.07741

Duality arguments for linear elasticity problems with incompatible deformation fields

Adriana Garroni·Annalisa Malusa
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Abstract

We prove existence and uniqueness for solutions to equilibrium problems for free-standing, traction-free, non homogeneous crystals in the presence of plastic slips. Moreover we prove that this class of problems is closed under G-convergence of the operators. In particular the homogenization procedure, valid for elliptic systems in linear elasticity, depicts the macroscopic features of a composite material in the presence of plastic deformation.

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Adriana Garroni, Annalisa Malusa. 2020-07-15. Duality arguments for linear elasticity problems with incompatible deformation fields. https://arxiv.org/abs/2007.07741

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