• Corpus ID: 220525479

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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