BV solutions constructed using the epsilon-neighborhood method

DOI10.1051/cocv/2015001zbMath1338.49025arXiv1209.1648OpenAlexW3099269857MaRDI QIDQ2798009

Mach Nguyet Minh

Publication date: 1 April 2016

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.1648

zbMATH Keywords

local minimizersBV solutionsrate-independent systemsenergy-dissipation balance

Mathematics Subject Classification ID

Related Items (1)

Generation of balanced viscosity solutions to rate-independent systems via variational convergence

Cites Work

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• Balanced viscosity (BV) solutions to infinite-dimensional rate-independent systems
• Quasistatic evolution for Cam-Clay plasticity: a weak formulation via viscoplastic regularization and time rescaling
• Quasistatic evolution of sessile drops and contact angle hysteresis
• Modeling solutions with jumps for rate-independent systems on metric spaces
• Quasistatic crack growth in finite elasticity with non-interpenetration
• A vanishing viscosity approach to quasistatic evolution in plasticity with softening
• Globally stable quasistatic evolution in plasticity with softening
• Energetic formulation of multiplicative elasto-plasticity using dissipation distances
• A variational formulation of rate-independent phase transformations using an extremum principle
• Existence results for energetic models for rate-independent systems
• On rate-independent hysteresis models
• A characterization of energetic and \(BV\) solutions to one-dimensional rate-independent systems
• Revisiting brittle fracture as an energy minimization problem
• Differential, Energetic, and Metric Formulations for Rate-Independent Processes
• BV solutions and viscosity approximations of rate-independent systems
• Vortex pinning in super-conductivity as a rate-independent process
• Epsilon-stable quasi-static brittle fracture evolution
• A comparative analysis on variational models for quasi-static brittle crack propagation
• A variational characterization of rate-independent evolution
• Existence and convergence for quasi-static evolution in brittle fracture
• Existence results for a class of rate-independent material models with nonconvex elastic energies

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