Singular limits of a coupled elasto-plastic damage system as viscosity and hardening vanish
DOI10.1007/s10231-022-01280-0OpenAlexW4313433222MaRDI QIDQ2699135
Vito Crismale, Giuliano Lazzaroni, Riccarda Rossi
Publication date: 26 April 2023
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.04248
damageelasto-plasticityvariational modelsrate-independent systemsbalanced viscosity solutionsvanishing viscosity and hardening
Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Variational methods applied to PDEs (35A15) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Viscous approximation of quasistatic evolutions for a coupled elastoplastic-damage model
- Balanced viscosity (BV) solutions to infinite-dimensional rate-independent systems
- Gradient damage models coupled with plasticity and nucleation of cohesive cracks
- Quasistatic crack growth based on viscous approximation: a model with branching and kinking
- Quasistatic evolution for Cam-Clay plasticity: a weak formulation via viscoplastic regularization and time rescaling
- Dual spaces of stresses and strains, with applications to Hencky plasticity
- A vanishing viscosity approach to quasistatic evolution in plasticity with softening
- A characterization of energetic and \(BV\) solutions to one-dimensional rate-independent systems
- Fatigue effects in elastic materials with variational damage models: a vanishing viscosity approach
- Rate-independent systems. Theory and application
- Quasistatic evolution in perfect plasticity for general heterogeneous materials
- Quasistatic evolution problems for linearly elastic-perfectly plastic materials
- Sublinear functions of measures and variational integrals
- Perfect Plasticity with Damage and Healing at Small Strains, Its Modeling, Analysis, and Computer Implementation
- Balanced-Viscosity solutions for multi-rate systems
- Quasi-Static Evolution for the Armstrong-Frederick Hardening-Plasticity Model
- Quasi-static Evolution in Nonassociative Plasticity: The Cap Model
- A MODEL FOR CRACK PROPAGATION BASED ON VISCOUS APPROXIMATION
- Small-strain heterogeneous elastoplasticity revisited
- Globally stable quasistatic evolution for a coupled elastoplastic–damage model
- BV solutions and viscosity approximations of rate-independent systems
- ON THE INVISCID LIMIT OF A MODEL FOR CRACK PROPAGATION
- A VANISHING VISCOSITY APPROACH TO A RATE-INDEPENDENT DAMAGE MODEL
- Balanced Viscosity Solutions to a Rate-Independent Coupled Elasto-plastic Damage System
- Energy release rate and quasi-static evolution via vanishing viscosity in a fracture model depending on the crack opening
- Stress-driven solution to rate-independent elasto-plasticity with damage at small strains and its computer implementation
- Dynamic perfect plasticity and damage in viscoelastic solids
This page was built for publication: Singular limits of a coupled elasto-plastic damage system as viscosity and hardening vanish