A numerical procedure for the determination of certain quantities related to the stress intensity factors in two-dimensional elasticity

DOI10.1016/0045-7825(94)00748-CzbMath0851.73004MaRDI QIDQ1913261

Panagiotis J. Papadakis, Ivo M. Babuška

Publication date: 2 December 1996

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

zbMATH Keywords

convergenceasymptotic expansioniteration methodnonlinear eigenvalue problemshooting methodglobal methodanisotropic non-homogeneous wedgecorner and interface singularities

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Linear elasticity with initial stresses (74B10) Stress concentrations, singularities in solid mechanics (74G70)

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The Direct Method of Lines for Forward and Inverse Linear Elasticity Problems of Composite Materials in Star-shaped Domains, Numerically determined enrichment functions for the extended finite element method and applications to bi-material anisotropic fracture and polycrystals, On the computation of the pure Neumann problem in 2-dimensional elasticity, GENERALIZED FINITE ELEMENT METHODS — MAIN IDEAS, RESULTS AND PERSPECTIVE, Finite element calculation of stress intensity factors for interface notches, Dislocation tri-material solution in the analysis of bridged crack in anisotropic bimaterial half-space, Fast semi-analytic computation of elastic edge singularities, Estimates for second order derivatives of eigenvectors in thin anisotropic plates with variable thickness, Multigrid methods for the computation of singular solutions and stress intensity factors I: Corner singularities

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