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arXiv · 2202.05018

From atomistic systems to linearized continuum models for elastic materials with voids

Manuel Friedrich·Leonard Kreutz·Konstantinos Zemas
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Abstract

We study an atomistic model that describes the microscopic formation of material voids inside elastically stressed solids under an additional curvature regularization at the discrete level. Using a discrete-to-continuum analysis, by means of a recent geometric rigidity result in variable domains [27] and {\Gamma}-convergence tools, we rigorously derive effective linearized continuum models for elastically stressed solids with material voids in three-dimensional elasticity.

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Manuel Friedrich, Leonard Kreutz, Konstantinos Zemas. 2022-02-10. From atomistic systems to linearized continuum models for elastic materials with voids. https://doi.org/10.1088/1361-6544/aca5de

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