Shape sensitivity analysis for energy release rate evaluation and its application to the study of three-dimensional cracked bodies

DOI10.1016/S0045-7825(99)00353-9zbMath0965.74049OpenAlexW2124867457MaRDI QIDQ1581981

M. J. Vénere, Roberto Saliba, Edgardo Taroco, Claudio Padra, Raúl Antonino Feijóo

Publication date: 5 August 2001

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(99)00353-9

zbMATH Keywords

energy release rateshape sensitivity analysislinear elastic fracture mechanicsdistributed parameterspost-processing techniqueadaptive finite element analysis

Mathematics Subject Classification ID

Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Optimization of other properties in solid mechanics (74P10)

Related Items (13)

Crack growth control based on the topological derivative of the Rice's integral ⋮ Fracture-based shape optimization built upon the topological derivative ⋮ A mode decoupling continuum shape sensitivity method for fracture analysis of functionally graded materials ⋮ Energy release rate approximation for small surface-breaking cracks using the topological derivative ⋮ Isogeometric shape design sensitivity analysis of stress intensity factors for curved crack problems ⋮ Topological sensitivity derivative with respect to area, shape and orientation of an elliptic hole in a plate ⋮ Shape optimization for tumor location ⋮ Continuum shape sensitivity and reliability analyses of nonlinear cracked structures ⋮ Boundary element method for \(J\)-integral and stress intensity factor computations in three-dimensional interface cracks ⋮ Adaptivity in linear elastic fracture mechanics based on shape sensitivity analysis ⋮ Boundary element analysis of three-dimensional mixed-mode cracks via the interaction integral ⋮ Review of options for structural design sensitivity analysis. I: Linear systems ⋮ Crack nucleation sensitivity analysis

Cites Work

• Unnamed Item
• Unnamed Item
• Design sensitivity analysis of structural systems
• The elastic energy-momentum tensor
• An introduction to continuum mechanics
• On the Griffith-Irwin Fracture Theory
• On the method of virtual crack extensions
• Crack propagation in continuous media
• VI. The phenomena of rupture and flow in solids
• The gradient of the finite element variational indicator with respect to nodal and applications in fracture mechanics and mesh optimization

This page was built for publication: Shape sensitivity analysis for energy release rate evaluation and its application to the study of three-dimensional cracked bodies