The paper studies the asymptotic analysis of a model coupling elastoplasticity and damage depending on three parameters-governing viscosity, plastic hardening, and convergence rate of plastic strain and displacement to equilibrium-as they vanish in different orders. The notion of limit evolution obtained is proven to coincide in any case with a notion introduced by Crismale and Rossi (SIAM J Math Anal 53(3):3420-3492, 2021), moreover, such solutions are closely related to those obtained in the vanishing-viscosity limit by Crismale and Lazzaroni (Calc Var Part Differ Equ 55(1):17, 2016), for the analogous model where only the viscosity parameter was present.

Singular limits of a coupled elasto-plastic damage system as viscosity and hardening vanish

Rossi, R
Membro del Collaboration Group
2023-01-01

Abstract

The paper studies the asymptotic analysis of a model coupling elastoplasticity and damage depending on three parameters-governing viscosity, plastic hardening, and convergence rate of plastic strain and displacement to equilibrium-as they vanish in different orders. The notion of limit evolution obtained is proven to coincide in any case with a notion introduced by Crismale and Rossi (SIAM J Math Anal 53(3):3420-3492, 2021), moreover, such solutions are closely related to those obtained in the vanishing-viscosity limit by Crismale and Lazzaroni (Calc Var Part Differ Equ 55(1):17, 2016), for the analogous model where only the viscosity parameter was present.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11379/580625
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