Duality Arguments for Linear Elasticity Problems with Incompatible Deformation Fields

01 Pubblicazione su rivista
Garroni Adriana, Malusa Annalisa
ISSN: 0944-6532

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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