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

Friedrich M, Kreutz L, Zemas K (2023)

Publication Type: Journal article

Publication year: 2023

Journal

Nonlinearity Institute of Physics: Hybrid Open Access

Book Volume: 36

Article Number: 2023

Journal Issue: 1

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 (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.

Authors with CRIS profile

Manuel Friedrich Professur für Angewandte Mathematik (Angewandte Analysis)

Involved external institutions

Carnegie Mellon University US United States (USA) (US) Westfälische Wilhelms-Universität (WWU) Münster DE Germany (DE)

How to cite

APA:

Friedrich, M., Kreutz, L., & Zemas, K. (2023). From atomistic systems to linearized continuum models for elastic materials with voids. Nonlinearity, 36(1). https://dx.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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