Energy release rate for non-smooth cracks in planar elasticity

DOI10.5802/jep.19zbMath1325.74126arXiv1406.6981OpenAlexW2897228836MaRDI QIDQ495138

Jean-François Babadjian, Antonin Chambolle, Antoine Lemenant

Publication date: 9 September 2015

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.6981

zbMATH Keywords

brittle fractureelliptic problemsingular setnonsmooth domainblow-up limit

Mathematics Subject Classification ID

Brittle fracture (74R10) Variational methods for elliptic systems (35J50) Methods involving semicontinuity and convergence; relaxation (49J45) Variational methods for second-order elliptic equations (35J20) PDEs in connection with mechanics of deformable solids (35Q74) Blow-up in context of PDEs (35B44)

Related Items (9)

Partial regularity for the crack set minimizing the two-dimensional griffith energy ⋮ A survey on the Blake-Zisserman functional ⋮ Regularity improvement for the minimizers of the two-dimensional Griffith energy ⋮ Energy release rate and stress intensity factors in planar elasticity in presence of smooth cracks ⋮ A simple derivation and classical representations of energy variations for curved cracks ⋮ Quasistatic crack growth based on viscous approximation: a model with branching and kinking ⋮ Corrigendum to: ``A candidate local minimizer of Blake and Zisserman functional ⋮ Crack growth by vanishing viscosity in planar elasticity ⋮ A selective review on Mumford-Shah minimizers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The stress intensity factor for non-smooth fractures in antiplane elasticity
• Energy release rate and stress intensity factor in antiplane elasticity
• Revisiting energy release rates in brittle fracture
• Singularités en élasticité. (Singularities in elasticity)
• Crack initiation in brittle materials
• The variational approach to fracture
• A density result in two-dimensional linearized elasticity, and applications
• A model for the quasi-static growth of brittle fractures: Existence and approximation results
• Quasistatic crack growth in nonlinear elasticity
• On optimal shape design
• Revisiting brittle fracture as an energy minimization problem
• Variation and optimization of formes. A geometric analysis
• The linear constraints in Poincaré and Korn type inequalities
• Sur une Interprétation Mathématique de l'Intégrale de Rice en Théorie de la Rupture Fragile
• Continuity of neumann linear elliptic problems on varying two—dimensional bounded open sets
• Existence and convergence for quasi-static evolution in brittle fracture
• Crack Singularities for General Elliptic Systems
• A Duality Approach for the Boundary Variation of Neumann Problems
• VI. The phenomena of rupture and flow in solids
• Energy release rate for cracks in finite‐strain elasticity
• QUASI-STATIC CRACK PROPAGATION BY GRIFFITH'S CRITERION

This page was built for publication: Energy release rate for non-smooth cracks in planar elasticity