| Issue |
ESAIM: COCV
Volume 31, 2025
|
|
|---|---|---|
| Article Number | 14 | |
| Number of page(s) | 49 | |
| DOI | https://doi.org/10.1051/cocv/2025004 | |
| Published online | 14 February 2025 | |
A rate-independent model for geomaterials under compression coupling strain gradient plasticity and damage
1 Dipartimento di Ingegneria e Scienze dell’Informazione e Matematica Università degli Studi dell’Aquila Via Vetoio 1, Coppito, 67100 L’Aquila, Italy
2 Dipartimento di Matematica “Guido Castelnuovo” Sapienza Università di Roma Piazzale Aldo Moro 2, 00185 Roma, Italy
* Corresponding author: maicol.caponi@univaq.it
Received:
23
November
2023
Accepted:
2
January
2025
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.
Mathematics Subject Classification: 74C05 / 74R05 / 74G65 / 35Q74 / 49J45
Key words: Variational models / quasistatic evolution / energetic solutions / vanishing-viscosity / Drucker–Prager elasto-plasticity / gradient damage models / complete damage / strain gradient plasticity
© The authors. Published by EDP Sciences, SMAI 2025
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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