Calculus of Variations and Geometric Measure Theory
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A. Garroni - A. Malusa

Duality arguments for linear elasticity problems with incompatible deformation fields

created by malusa on 15 Jul 2020
modified by garroni on 18 Sep 2020

[BibTeX]

Accepted Paper

Inserted: 15 jul 2020
Last Updated: 18 sep 2020

Journal: J. Convex Analysis
Year: 2020

ArXiv: 2007.07741 PDF

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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