Energetic solutions for the coupling of associative plasticity with damage in geomaterials

2021/09/17 by Vito Crismale, Crismale, Vito
Earth and Planetary Sciences · Engineering · Materials Science · #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Geotechnical and Geomechanical Engineering #High-Velocity Impact and Material Behavior #High-pressure geophysics and materials

paper · pdf · doi:10.48550/arxiv.2109.08450

openalex publication_date 2021/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove existence of globally stable quasistatic evolutions, referred to as energetic solutions, for a model proposed by Marigo and Kazymyrenko in 2019. The behaviour of geomaterials under compression is studied through the coupling of Drucker-Prager plasticity model with a damage term tuning kinematical hardening. This provides a new approach to the modelling of geomaterials, for which non associative plasticity is usually employed. % The present coupling is such that The kinematical hardening is null where the damage is complete, so there the behaviour is perfectly plastic. We analyse the model combining tools from the theory of capacity and from the treatment of linearly elastic materials with cracks.

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