Published Paper

Inserted: 12 may 2022
Last Updated: 16 apr 2023

Journal: Nonlinearity
Volume: 36
Number: 1
Pages: 50
Year: 2022
Doi: 10.1088/1361-6544/aca5de

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 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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