On the homogenization of singular integrals
Omar Anza Hafsa, Mohamed Lamine Leghmizi, Jean-Philippe Mandallena
TL;DR
This paper investigates the process of periodic homogenization of singular integral functionals in nonlinear elasticity using Gamma-convergence, providing insights into how complex materials behave under deformation.
Contribution
It introduces a novel approach to homogenize singular integrals in nonlinear elasticity through Gamma-convergence, advancing theoretical understanding.
Findings
Established homogenization results for specific singular integrals
Provided a Gamma-convergence framework for nonlinear elasticity
Enhanced understanding of material behavior under deformation
Abstract
We study periodic homogenization by Gamma-convergence of some singular integral functionals related to nonlinear elasticity.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Composite Material Mechanics · Advanced Numerical Methods in Computational Mathematics