On the visco-plastic approximation of a rate-independent coupled elastoplastic damage model

Vito Crismale; Giuliano Lazzaroni; Riccarda Rossi

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arXiv · 2311.10186

On the visco-plastic approximation of a rate-independent coupled elastoplastic damage model

Vito Crismale·Giuliano Lazzaroni·Riccarda Rossi

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Abstract

In this paper we study a rate-independent system for the propagation of damage and plasticity. To construct solutions we resort to approximation in terms of viscous evolutions, where viscosity affects both damage and plasticity with the same rate. The main difficulty arises from the fact that the available estimates do not provide sufficient regularity on the limiting evolutions to guarantee that forces and velocities are in a duality pairing, hence we cannot use a chain rule for the driving energy. Nonetheless, via careful techniques we can characterize the limiting rate-independent evolution by means of an energy-dissipation balance, which encodes the onset of viscous effects in the behavior of the system at jumps.

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Vito Crismale, Giuliano Lazzaroni, Riccarda Rossi. 2023-11-16. On the visco-plastic approximation of a rate-independent coupled elastoplastic damage model. https://arxiv.org/abs/2311.10186

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