Modelling of dynamical crack propagation using time-domain boundary integral equations

DOI10.1016/0165-2125(92)90022-TzbMath0769.73087OpenAlexW1992753521MaRDI QIDQ1205418

Martin G. Koller, Marc Bonnet, Raúl Madariaga

Publication date: 1 April 1993

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(92)90022-t

zbMATH Keywords

regularizationkinking\(C^ 0\)-continuous linear space-time elementsantiplane crackscollocation BIEhypersingular traction BIEleast- squares method

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Fracture and damage (74R99)

Related Items (8)

Free surface effect on moving crack under impact loading by BEM ⋮ A spectral method for three-dimensional elastodynamic fracture problems ⋮ Dynamic modelling of the flat 2-D crack by a semi-analytic BIEM scheme ⋮ On the gradient of the Green tensor in two-dimensional elastodynamic problems, and related integrals: distributional approach and regularization, with application to nonuniformly moving sources ⋮ Smooth modelling of the normal vector by using C⁰‐continuous lagrange elements in BEM ⋮ Implementation and application of elastodynamic boundary element discretizations with improved stability properties ⋮ A nitsche-extended finite element method for earthquake rupture on complex fault systems ⋮ On the stress wave induced curving of fast running cracks -- a numerical study by a time-domain boundary element method

Uses Software

• LINPACK

Cites Work

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• Three-dimensional curved crack in an elastic body
• Dynamic effects in Mode III crack bifurcation
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• Continuity requirements for density functions in the boundary integral equation method
• Bifurcation of a running crack in antiplane strain
• An integral equations method for solving the problem of a plane crack of arbitrary shape
• Three-dimensional crack analysis
• Interaction of wedge crack and grain boundary dislocations
• Brittle and ductile extension of a finite crack by a horizontally polarized shear wave
• A New Boundary Integral Equation Formulation for Elastodynamic and Elastostatic Crack Analysis
• Time-domain boundary element analysis of elastic wave interaction with a crack
• A General Algorithm for Multidimensional Cauchy Principal Value Integrals in the Boundary Element Method
• Dynamic Fracture Mechanics
• A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
• The numerical solution of certain integral equations with non-integrable kernels arising in the theory of crack propagation and elastic wave diffraction

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