Friedrich M, Kreutz L, Zemas K (2023)
Publication Type: Journal article
Publication year: 2023
Book Volume: 36
Article Number: 2023
Journal Issue: 1
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 (Friedrich et al 2021 arXiv:2107.10808) and Γ-convergence tools, we rigorously derive effective linearized continuum models for elastically stressed solids with material voids in three-dimensional elasticity.
APA:
Friedrich, M., Kreutz, L., & Zemas, K. (2023). From atomistic systems to linearized continuum models for elastic materials with voids. Nonlinearity, 36(1). https://doi.org/10.1088/1361-6544/aca5de
MLA:
Friedrich, Manuel, Leonard Kreutz, and Konstantinos Zemas. "From atomistic systems to linearized continuum models for elastic materials with voids." Nonlinearity 36.1 (2023).
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