A variational characterization of rate-independent evolution
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Publication:3647157
DOI10.1002/mana.200810803zbMath1217.34104OpenAlexW2092705054MaRDI QIDQ3647157
Publication date: 30 November 2009
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.200810803
Variational principles in infinite-dimensional spaces (58E30) Evolution inclusions (34G25) Hysteresis for ordinary differential equations (34C55)
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Finite plasticity in \(P^\top P\). I: Constitutive model ⋮ A MODEL FOR CRACK PROPAGATION BASED ON VISCOUS APPROXIMATION ⋮ Rate-Independent Systems and Their Viscous Regularizations: Analysis, Simulation, and Optimal Control ⋮ Regularity of weak solutions to rate-independent systems in one-dimension ⋮ Rate-independent stochastic evolution equations: parametrized solutions ⋮ 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 ⋮ Linearly constrained evolutions of critical points and an application to cohesive fractures ⋮ Stress-driven local-solution approach to quasistatic brittle delamination ⋮ Maximally-dissipative local solutions to rate-independent systems and application to damage and delamination problems ⋮ Quasistatic evolution in perfect plasticity as limit of dynamic processes ⋮ Quasistatic adhesive contact of visco‐elastic bodies and its numerical treatment for very small viscosity ⋮ Energetic versus maximally-dissipative local solutions of a quasi-static rate-independent mixed-mode delamination model ⋮ A variational principle for doubly nonlinear evolution ⋮ BV solutions constructed using the epsilon-neighborhood method ⋮ BV solutions and viscosity approximations of rate-independent systems ⋮ Local-solution approach to quasistatic rate-independent mixed-mode delamination
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