Balanced-viscosity solutions to infinite-dimensional multi-rate systems

DOI10.1007/s00205-023-01855-yzbMath1514.35107arXiv2112.01794OpenAlexW4376890949MaRDI QIDQ6040857

Alexander Mielke, Riccarda Rossi

Publication date: 22 May 2023

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.01794

zbMATH Keywords

doubly nonlinear subdifferential inclusion

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) PDEs in connection with mechanics of deformable solids (35Q74) Viscosity solutions to PDEs (35D40) Variational and other types of inclusions (47J22)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Quasistatic evolution in perfect plasticity as limit of dynamic processes
• Quasistatic evolution for Cam-Clay plasticity: a weak formulation via viscoplastic regularization and time rescaling
• Modeling solutions with jumps for rate-independent systems on metric spaces
• Quasistatic delamination problem
• Thermomechanics of damageable materials under diffusion: modelling and analysis
• Convex analysis and measurable multifunctions
• A model for the quasi-static growth of brittle fractures: Existence and approximation results
• A variational formulation of rate-independent phase transformations using an extremum principle
• Optimal entropy-transport problems and a new Hellinger-Kantorovich distance between positive measures
• On rate-independent hysteresis models
• Variational convergence of gradient flows and rate-independent evolutions in metric spaces
• Nonsmooth analysis of doubly nonlinear evolution equations
• Thermodynamics of perfect plasticity
• Revisiting brittle fracture as an energy minimization problem
• Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads
• Fatigue effects in elastic materials with variational damage models: a vanishing viscosity approach
• Rate-independent systems. Theory and application
• Optimal control of a rate-independent evolution equation via viscous regularization
• Two-speed solutions to non-convex rate-independent systems
• A dynamic evolution model for perfectly plastic plates
• 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
• Differential, Energetic, and Metric Formulations for Rate-Independent Processes
• Quasi-static rate-independent evolutions: characterization, existence, approximation and application to fracture mechanics
• Limit of viscous dynamic processes in delamination as the viscosity and inertia vanish
• Thermodynamics of Rate-independent Processes in Viscous Solids at Small Strains
• BV solutions and viscosity approximations of rate-independent systems
• A viscosity-driven crack evolution
• Convergence of phase field to phase relaxation models governed by an entropy equation with memory
• ON THE INVISCID LIMIT OF A MODEL FOR CRACK PROPAGATION
• Rate-independent processes in viscous solids at small strains
• On Lower Semicontinuity of Integral Functionals. I
• Balanced viscosity solutions to a rate-independent system for damage
• Adhesive Contact of Visco-elastic Bodies and Defect Measures Arising by Vanishing Viscosity
• A VANISHING VISCOSITY APPROACH TO A RATE-INDEPENDENT DAMAGE MODEL
• Convergence of alternate minimization schemes for phase-field fracture and damage
• Balanced Viscosity Solutions to a Rate-Independent Coupled Elasto-plastic Damage System
• From an adhesive to a brittle delamination model in thermo-visco-elasticity
• On the vanishing-viscosity limit in parabolic systems with rate-independent dissipation terms
• A Rate-Independent Approach to the Delamination Problem
• Coupling Rate-Independent and Rate-Dependent Processes: Existence Results
• From visco to perfect plasticity in thermoviscoelastic materials

This page was built for publication: Balanced-viscosity solutions to infinite-dimensional multi-rate systems