Cracks in three dimensions: A dynamic dual boundary element analysis

DOI10.1016/S0045-7825(98)00116-9zbMath0946.74074MaRDI QIDQ1808136

D. P. Rooke, Pihua H. Wen, Mohammad Hossien Aliabadi

Publication date: 17 October 2000

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

zbMATH Keywords

Laplace transformdynamic stress intensity factorsmixed-mode stress intensity factorsSomigliana's identitydual boundary element methodLaplace spaceedge cracksdisplacement integral equationtraction boundary integral equationelliptical cracksDurbin's inversion methodembedded penny-shaped cracksmixed-mode crack problem

Mathematics Subject Classification ID

Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Brittle fracture (74R10) Boundary element methods applied to problems in solid mechanics (74S15) Laplace transform (44A10)

Related Items (23)

General BE approach for three-dimensional dynamic fracture analysis. ⋮ A dual interpolation boundary face method with Hermite-type approximation for potential problems ⋮ Implementation of a dual interpolation boundary face method by discontinuous meshes ⋮ Dynamic BE analysis of 3-D cracks in transversely isotropic solids ⋮ A time-dependent formulation of dual boundary element method for 3D dynamic crack problems ⋮ Method of fundamental solution using Erdogan's solution: static and dynamic ⋮ A dual interpolation boundary face method with Hermite-type approximation for elasticity problems ⋮ An integral framework for computational thermo-elastic homogenization of polycrystalline materials ⋮ A new implementation of DRM with dual interpolation boundary face method for Poisson equation ⋮ Three-dimensional dynamic fracture analysis with the dual reciprocity method in Laplace domain ⋮ Dynamic analysis of cracks using the SGBEM for elastodynamics in the Laplace-space frequency domain ⋮ A frequency-domain BIEM combining dbies and tbies for 3-D crack-inclusion interaction analysis ⋮ Singularity cancellation method for time-domain boundary element formulation of elastodynamics: a direct approach ⋮ Interaction between rigid-disc inclusion and penny-shaped crack under elastic time-harmonic wave incidence ⋮ A subregion DRBEM formulation for the dynamic analysis of two-dimensional cracks ⋮ Dynamic crack problems in three-dimensional transversely isotropic solids ⋮ Time-domain BEM for 3-D transient elastodynamic problems with interacting rigid movable disc-shaped inclusions ⋮ Elastodynamic analysis of multiple crack problem in 3‐D bi‐materials by a BEM ⋮ A hybrid finite difference and moving least square method for elasticity problems ⋮ Dynamic fracture analysis of Kane-Mindlin plates using the dual boundary element method ⋮ Analysis of two-dimensional fatigue crack propagation in thin aluminum plates using the Paris law modified by a closure concept ⋮ Dynamic analysis of multi-crack problems by the spline fictitious boundary element method based on Erdogan fundamental solutions ⋮ A mass-matrix formulation for three-dimensional dynamic fracture mechanics

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