Initiation of cracks in Griffith's theory: an argument of continuity in favor of global minimization
From MaRDI portal
Publication:625632
DOI10.1007/s00332-010-9074-xzbMath1213.35023OpenAlexW2081847814MaRDI QIDQ625632
Publication date: 25 February 2011
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://hal-polytechnique.archives-ouvertes.fr/hal-00492234/file/10-JJM-revised.pdf
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Brittle fracture (74R10) Stress concentrations, singularities in solid mechanics (74G70) Variational methods applied to PDEs (35A15) Theories of fracture and damage (74A45)
Related Items (3)
A variational approach to fracture and other inelastic phenomena ⋮ Energetic formulation for rate-independent processes: remarks on discontinuous evolutions with a simple example ⋮ Massive parallelization of the phase field formulation for crack propagation with time adaptivity
Cites Work
- Revisiting energy release rates in brittle fracture
- Global approach, relative minima and yield criterion in fracture mechanics
- Crack initiation in brittle materials
- The variational approach to fracture
- Insensitivity to small defects of the rupture of materials governed by the Dugdale model
- An energy based analysis of the pull-out problem.
- A model for the quasi-static growth of brittle fractures: Existence and approximation results
- Quasistatic crack growth in nonlinear elasticity
- Revisiting brittle fracture as an energy minimization problem
- Initiation of cracks with cohesive force models: a variational approach
- Initiation and propagation of fracture in the models of Griffith and Barenblatt
- A comparative analysis on variational models for quasi-static brittle crack propagation
- Sur une Interprétation Mathématique de l'Intégrale de Rice en Théorie de la Rupture Fragile
- Existence and convergence for quasi-static evolution in brittle fracture
- Amorçage de la décohésion dans l'essai d'arrachement
- Size Effects on Quasi-Static Growth of Cracks
- Existence results for a class of rate-independent material models with nonconvex elastic energies
- QUASI-STATIC CRACK PROPAGATION BY GRIFFITH'S CRITERION
- Macro- and micro-cracking in one-dimensional elasticity
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Initiation of cracks in Griffith's theory: an argument of continuity in favor of global minimization
