Crack growth with non-interpenetration: a simplified proof for the pure Neumann problem

DOI10.3934/dcds.2011.31.1219zbMath1335.74051OpenAlexW2071225687MaRDI QIDQ653889

Giuliano Lazzaroni, Gianni Dal Maso

Publication date: 20 December 2011

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

Full work available at URL: https://doi.org/10.3934/dcds.2011.31.1219

zbMATH Keywords

energy minimizationbrittle fracturefinite elasticitypolyconvexitycrack propagationquasistatic evolutionrate-independent processesvariational modelsnon-interpenetrationfree-discontinuity problemsGriffith's criterion

Mathematics Subject Classification ID

Brittle fracture (74R10) Energy minimization in equilibrium problems in solid mechanics (74G65) Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (3)

Non-interpenetration conditions in the passage from nonlinear to linearized Griffith fracture ⋮ Quasistatic crack growth in finite elasticity with Lipschitz data ⋮ Approximation of a brittle fracture energy with a constraint of non-interpenetration

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