Rate-independent damage in thermo-viscoelastic materials with inertia

G Lazzaroni, R Rossi, M Thomas, R Toader - Journal of Dynamics and …, 2018 - Springer
We present a model for rate-independent, unidirectional, partial damage in visco-elastic
materials with inertia and thermal effects. The damage process is modeled by means of an …

A rate-independent gradient system in damage coupled with plasticity via structured strains

E Bonetti, E Rocca, R Rossi… - ESAIM: Proceedings and …, 2016 - esaim-proc.org
This contribution deals with a class of models combining isotropic damage with plasticity. It
has been inspired by a work by Freddi and Royer-Carfagni [FRC10], including the case …

Damage processes in thermoviscoelastic materials with damage‐dependent thermal expansion coefficients

C Heinemann, E Rocca - Mathematical Methods in the Applied …, 2015 - Wiley Online Library
In this paper, we prove existence of global in time weak solutions for a highly nonlinear PDE
system arising in the context of damage phenomena in thermoviscoelastic materials. The …

[PDF][PDF] Rate-independent damage in thermo-viscoelastic materials with inertia

G Lazzaroni, R Rossi, M Thomas, R Toader - Preprint SISSA, 2014 - cvgmt.sns.it
We present a model for rate-independent, unidirectional, partial damage in visco-elastic
materials with inertia and thermal effects. The damage process is modeled by means of an …

An existence result for a model of complete damage in elastic materials with reversible evolution

E Bonetti, F Freddi, A Segatti - Continuum Mechanics and …, 2017 - Springer
In this paper, we consider a model describing evolution of damage in elastic materials, in
which stiffness completely degenerates once the material is fully damaged. The model is …

Modeling and simulation of non-isothermal rate-dependent damage processes in inhomogeneous materials using the phase-field approach

M Radszuweit, C Kraus - Computational Mechanics, 2017 - Springer
We present a continuum model that incorporates rate-dependent damage and fracture, a
material order-parameter field and temperature within a phase-field approach. The models …

A degenerating Cahn–Hilliard system coupled with complete damage processes

C Heinemann, C Kraus - Nonlinear Analysis: Real World Applications, 2015 - Elsevier
In this work, we analytically investigate a degenerating PDE system for phase separation
and complete damage processes considered on a nonsmooth time-dependent domain with …

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

V Crismale - Nonlinear Analysis, 2022 - Elsevier
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 …

[BOK][B] Numerical Approach to a Model for Quasistatic Damage with Spatial BV -Regularization

S Bartels, M Milicevic, M Thomas - 2018 - Springer
We address a model for rate-independent, partial, isotropic damage in quasistatic small
strain linear elasticity, featuring a damage variable with spatial BV-regularization. Discrete …

Necessary conditions of first-order for an optimal boundary control problem for viscous damage processes in 2D

MH Farshbaf-Shaker, C Heinemann - ESAIM: Control, Optimisation …, 2018 - esaim-cocv.org
Controlling the growth of material damage is an important engineering task with plenty of
real world applications. In this paper we approach this topic from the mathematical point of …