Phase-field approximation for a class of cohesive fracture energies with an activation threshold
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Publication:2240119
DOI10.1515/acv-2019-0018zbMath1476.49018arXiv1812.05301OpenAlexW2999796735MaRDI QIDQ2240119
Antonin Chambolle, Vito Crismale
Publication date: 5 November 2021
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.05301
\(\Gamma\)-convergencefree discontinuity problemscohesive fracturespecial functions of bounded deformation
Brittle fracture (74R10) Methods involving semicontinuity and convergence; relaxation (49J45) Theoretical approximation in context of PDEs (35A35) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)
Related Items (10)
Korn and Poincaré-Korn inequalities for functions with a small jump set ⋮ On some non-local approximation of nonisotropic Griffith-type functionals ⋮ Equilibrium Configurations for Nonhomogeneous Linearly Elastic Materials with Surface Discontinuities ⋮ Discrete Approximation of the Griffith Functional by Adaptive Finite Elements ⋮ Lower semicontinuity for functionals defined on piecewise rigid functions and on \(GSBD\) ⋮ A density result in \(GSBD^p\) with applications to the approximation of brittle fracture energies ⋮ Continuity and canceling operators of order \(n\) on \(\mathbb{R}^n\) ⋮ On the Approximation of SBD Functions and Some Applications ⋮ Integral representation for energies in linear elasticity with surface discontinuities ⋮ Density in SBD and approximation of fracture energies
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