A characterization of energetic and \(BV\) solutions to one-dimensional rate-independent systems

DOI10.3934/dcdss.2013.6.167zbMath1270.34027OpenAlexW2317700653MaRDI QIDQ1942765

Riccarda Rossi, Giuseppe Savaré

Publication date: 14 March 2013

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2013.6.167

zbMATH Keywords

abstract evolution equationsrate-independent systemshysteresis effectsenergetic and BV solutions

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Ordinary differential inclusions (34A60) Hysteresis for ordinary differential equations (34C55)

Related Items (10)

Balanced viscosity (BV) solutions to infinite-dimensional rate-independent systems ⋮ A quasilinear differential inclusion for viscous and rate-independent damage systems in non-smooth domains ⋮ Energetic formulation for rate-independent processes: remarks on discontinuous evolutions with a simple example ⋮ Viscous corrections of the time incremental minimization scheme and visco-energetic solutions to rate-independent evolution problems ⋮ Singular limits of a coupled elasto-plastic damage system as viscosity and hardening vanish ⋮ Visco-energetic solutions to one-dimensional rate-independent problems ⋮ BV solutions constructed using the epsilon-neighborhood method ⋮ Generation of balanced viscosity solutions to rate-independent systems via variational convergence ⋮ Visco-energetic solutions to some rate-independent systems in damage, delamination, and plasticity ⋮ Balanced Viscosity Solutions to a Rate-Independent Coupled Elasto-plastic Damage System

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