Stability of crack fronts under Griffith criterion: A computational approach using integral equations and domain derivatives of potential energy

DOI10.1016/S0045-7825(98)00290-4zbMath0948.74049OpenAlexW1969179017MaRDI QIDQ1299297

Marc Bonnet

Publication date: 19 November 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(98)00290-4

zbMATH Keywords

stabilityinstabilityGriffith criterionlinear fracture mechanicscrack extensionsderivatives of potential energydomain derivativesisolated crack in three-dimensional unbounded elastic bodyLagrangian formulassymmetric Galerkin boundary integral formulationstheta-integral method

Mathematics Subject Classification ID

Brittle fracture (74R10) Boundary element methods applied to problems in solid mechanics (74S15)

Related Items (4)

Solving multizone and multicrack elastostatic problems: a fast multipole symmetric Galerkin boundary element method approach ⋮ Boundary element based formulations for crack shape sensitivity analysis ⋮ Fast multipole method applied to symmetric Galerkin boundary element method for 3D elasticity and fracture problems ⋮ Numerical simulation of delamination growth in curved interfaces

Cites Work

• Integral equations with non integrable kernels
• Generalized J-integral and three dimensional fracture mechanics. I
• Symmetric weak-form integral equation method for three-dimensional fracture analysis
• A boundary integral equation method for an inverse problem related to crack detection
• A galerkin symmetric boundary-element method in elasticity: Formulation and implementation
• On the method of virtual crack extensions
• Regularized bie formulations for first- and second-order shape sensitivity of elastic fields
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Stability of crack fronts under Griffith criterion: A computational approach using integral equations and domain derivatives of potential energy