Calculus of Variations and Geometric Measure Theory

A. Garroni - A. Malusa

Duality arguments for linear elasticity problems with incompatible deformation fields

created by malusa on 15 Jul 2020
modified by garroni1 on 24 Mar 2022


Published Paper

Inserted: 15 jul 2020
Last Updated: 24 mar 2022

Journal: J. Convex Analysis
Volume: 28
Pages: 569-580
Year: 2021

ArXiv: 2007.07741 PDF


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.