Quasistatic crack growth based on viscous approximation: a model with branching and kinking

DOI10.1007/s00030-016-0426-6zbMath1372.35376OpenAlexW2414953239MaRDI QIDQ523544

Vito Crismale, Giuliano Lazzaroni

Publication date: 21 April 2017

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11573/1485797

zbMATH Keywords

brittle fracturevanishing viscosityenergy release ratelocal minimizerscrack propagationfree-discontinuity problemsGriffith's criterion

Mathematics Subject Classification ID

Brittle fracture (74R10) Stress concentrations, singularities in solid mechanics (74G70) Methods involving semicontinuity and convergence; relaxation (49J45) Free boundary problems for PDEs (35R35) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (7)

Cohesive fracture with irreversibility: Quasistatic evolution for a model subject to fatigue ⋮ Irreversibility and alternate minimization in phase field fracture: a viscosity approach ⋮ On the quasistatic limit of dynamic evolutions for a peeling test in dimension one ⋮ Singular limits of a coupled elasto-plastic damage system as viscosity and hardening vanish ⋮ Balanced viscosity solutions to a rate-independent system for damage ⋮ Balanced Viscosity Solutions to a Rate-Independent Coupled Elasto-plastic Damage System ⋮ Crack growth by vanishing viscosity in planar elasticity

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