The gradient of the finite element variational indicator with respect to nodal and applications in fracture mechanics and mesh optimization

DOI10.1002/nme.1620210413zbMath0561.73071OpenAlexW2047976787MaRDI QIDQ5186860

Theodore Sussman, Klaus-Jürgen Bathe

Publication date: 1985

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620210413

zbMATH Keywords

stress intensity factorsfinite element meshclosed-form expressionchange in the variational indicatorgiven element-node connectivityoptimal meshperturbations in nodal point co-ordinatestwo- and three- dimensional isoparametric elements

Mathematics Subject Classification ID

Stress concentrations, singularities in solid mechanics (74G70) Finite element methods applied to problems in solid mechanics (74S05) Brittle damage (74R05) Numerical and other methods in solid mechanics (74S99)

Related Items (10)

On a solution strategy for energy-based mesh optimization in finite hyperelastostatics ⋮ Nodal sensitivities as error estimates in computational mechanics ⋮ High order sensitivity analysis in shape optimization problems ⋮ An integrated approach to shape optimization and mesh adaptivity based on material residual forces ⋮ Energy-based r-adaptivity: a solution strategy and applications to fracture mechanics ⋮ Gradient weighted residuals for error indicators in FEM and BEM ⋮ On variational sensitivity analysis and configurational mechanics ⋮ Shape sensitivity analysis for energy release rate evaluation and its application to the study of three-dimensional cracked bodies ⋮ High-order shape design sensitivity: A unified approach ⋮ Symmetry-breaking transitions in equilibrium shapes of coherent precipitates

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• ADINA

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