Calculus of Variations and Geometric Measure Theory

M. Caponi - V. Crismale

A rate-independent model for geomaterials under compression coupling strain gradient plasticity and damage

created by caponi on 29 Nov 2023
modified by crismale on 16 Feb 2025

[BibTeX]

Published Paper

Inserted: 29 nov 2023
Last Updated: 16 feb 2025

Journal: ESAIM Control Optim. Calc. Var.
Volume: 31
Pages: Article 14 (49 pp.)
Year: 2025
Doi: 10.1051/cocv/2025004

ArXiv: 2311.13863 PDF

Abstract:

We study a strain gradient-enhanced version of a model for geomaterials under compression by Marigo and Kazymyrenko (2019) coupling damage and small-strain associative plasticity. We prove that the jumps in time of the plastic variable may happen only along jumps of the damage variable. Moreover, we perform a vanishing-viscosity analysis showing existence of Balanced Viscosity quasistatic solutions à la Mielke-Rossi-Savaré.


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