# Duality arguments for linear elasticity problems with incompatible deformation fields

@article{Garroni2020DualityAF, title={Duality arguments for linear elasticity problems with incompatible deformation fields}, author={Adriana Garroni and Annalisa Malusa}, journal={arXiv: Analysis of PDEs}, year={2020} }

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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