Existence of strong solutions for quasi-static evolution in brittle fracture

DOI10.2422/2036-2145.201106_003zbMath1311.49112OpenAlexW4360107231MaRDI QIDQ5246459

Jean-François Babadjian, Alessandro Giacomini

Publication date: 21 April 2015

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2422/2036-2145.201106_003

zbMATH Keywords

strong solutionsbrittle fracturequasi-static evolutionquasi-minimizersMumford-Shah type functionals

Mathematics Subject Classification ID

Brittle fracture (74R10) Variational problems in a geometric measure-theoretic setting (49Q20) Degenerate elliptic equations (35J70) Regularity of solutions in optimal control (49N60) Free boundary problems for PDEs (35R35)

Related Items (10)

Shape optimization problems with Robin conditions on the free boundary ⋮ The stress intensity factor for non-smooth fractures in antiplane elasticity ⋮ Cohesive fracture with irreversibility: Quasistatic evolution for a model subject to fatigue ⋮ Compactness and lower semicontinuity in \(GSBD\) ⋮ A compactness result in \(GSBV^p\) and applications to \(\varGamma \)-convergence for free discontinuity problems ⋮ A density result in \(GSBD^p\) with applications to the approximation of brittle fracture energies ⋮ Existence of strong solutions to the Dirichlet problem for the Griffith energy ⋮ Griffith energies as small strain limit of nonlinear models for nonsimple brittle materials ⋮ Stable regular critical points of the Mumford-Shah functional are local minimizers ⋮ A selective review on Mumford-Shah minimizers

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