Work

On the Viscoplastic Approximation of a Rate-Independent Coupled Elastoplastic Damage Model

Year: 2024

Type: article

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, and 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.

Source: SIAM Journal on Mathematical Analysis

DOI: 10.1137/23m1620429

Authors: Vito Crismale, Giuliano Lazzaroni, Riccarda Rossi

Institutions: Sapienza University of Rome, University of Florence, University of Brescia

Language: English

Topic: Contact Mechanics and Variational Inequalities

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funder: Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni

OpenAlex ID: W4405365069

FWCI: 0.195

Cites: 32

Cited by: 1

Related to: 10