Linearly constrained evolutions of critical points and an application to cohesive fractures
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Publication:2973323
DOI10.1142/S0218202517500014zbMath1358.74053arXiv1508.02965OpenAlexW2964140353MaRDI QIDQ2973323
Massimo Fornasier, Francesco Solombrino, Marco Artina, Filippo Cagnetti
Publication date: 3 April 2017
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.02965
Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Fracture and damage (74R99) Optimization of other properties in solid mechanics (74P10) Finite difference methods applied to problems in solid mechanics (74S20) Existence theories for problems in abstract spaces (49J27)
Related Items (20)
Cohesive zone-type delamination in visco-elasticity ⋮ Rate-Independent Systems and Their Viscous Regularizations: Analysis, Simulation, and Optimal Control ⋮ Cohesive fracture with irreversibility: Quasistatic evolution for a model subject to fatigue ⋮ Cohesive fracture in 1D: quasi-static evolution and derivation from static phase-field models ⋮ Singular vanishing-viscosity limits of gradient flows: the finite-dimensional case ⋮ Optimal regularity and structure of the free boundary for minimizers in cohesive zone models ⋮ Convergence analysis of time-discretisation schemes for rate-independent systems ⋮ Irreversibility and alternate minimization in phase field fracture: a viscosity approach ⋮ Phase-field approximation of a vectorial, geometrically nonlinear cohesive fracture energy ⋮ Viscous corrections of the time incremental minimization scheme and visco-energetic solutions to rate-independent evolution problems ⋮ On the quasistatic limit of dynamic evolutions for a peeling test in dimension one ⋮ A Priori Error Analysis of Local Incremental Minimization Schemes for Rate-Independent Evolutions ⋮ Variational methods for evolution. Abstracts from the workshop held November 12--18, 2017 ⋮ On a monotone scheme for nonconvex nonsmooth optimization with applications to fracture mechanics ⋮ Multiscale analysis of singularly perturbed finite dimensional gradient flows: the minimizing movement approach ⋮ A vanishing-inertia analysis for finite-dimensional rate-independent systems with nonautonomous dissipation and an application to soft crawlers ⋮ Convergence of alternate minimization schemes for phase-field fracture and damage ⋮ Convergence of discrete and continuous unilateral flows for Ambrosio–Tortorelli energies and application to mechanics ⋮ Consistent finite-dimensional approximation of phase-field models of fracture ⋮ A lower semicontinuity result for linearised elasto-plasticity coupled with damage in \(W^{1,\gamma}\), \(\gamma > 1\)
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