A numerical method with a posteriori error estimation for determining the path taken by a propagating crack

DOI10.1016/S0045-7825(97)00303-4zbMath0932.74070OpenAlexW2028104041MaRDI QIDQ1818042

Thomas J. Stone, Ivo M. Babuška

Publication date: 13 March 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(97)00303-4

zbMATH Keywords

principle of local symmetryadaptive procedurecontour integral methodmode II stress intensity factorlinear elasticity equations

Mathematics Subject Classification ID

Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05)

Related Items

An Introductory Review on A Posteriori Error Estimation in Finite Element Computations, Strict and effective bounds in goal-oriented error estimation applied to fracture mechanics problems solved with XFEM, Analysis and improvements of global-local enrichments for the generalized finite element method, Error estimates and adaptive finite element methods, On the path of a quasi-static crack in mode III, Efficient finite element simulation of crack propagation using adaptive iterative solvers, A plasticity framework for (linear elastic) fracture mechanics, A higher-order scheme for two-dimensional quasi-static crack growth simulations, Goal-oriented a posteriori error estimates in linear elastic fracture mechanics

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