The singular function boundary integral method for biharmonic problems with crack singularities

DOI10.1016/j.enganabound.2006.09.008zbMath1195.74226OpenAlexW2058966634MaRDI QIDQ1958293

Christos Xenophontos, Georgios C. Georgiou, Miltiades C. Elliotis

Publication date: 28 September 2010

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2006.09.008

zbMATH Keywords

Lagrange multipliersstress intensity factorsbiharmonic equationboundary singularitysingular function boundary integral methodcrack singularity

Mathematics Subject Classification ID

Brittle fracture (74R10) Boundary element methods applied to problems in solid mechanics (74S15) Stress concentrations, singularities in solid mechanics (74G70)

Related Items (7)

Models of corner and crack singularity of linear elastostatics and their numerical solutions ⋮ Combined Trefftz methods of particular and fundamental solutions for corner and crack singularity of linear elastostatics ⋮ The singular function boundary integral method for singular Laplacian problems over circular sections ⋮ Solution for a problem of linear plane elasticity with mixed boundary conditions on an ellipse by the method of boundary integrals ⋮ Stress analysis for long thermoelastic rods with mixed boundary conditions ⋮ Solution of a problem linear plane elasticity with mixed boundary conditions by the method of boundary integrals ⋮ Simple iterative method for solving problems for plates with partial internal supports

Cites Work

• The collocation Trefftz method for biharmonic equations with crack singularities
• The singular function boundary integral method for a two-dimensional fracture problem
• Special boundary approximation methods for Laplace equation problems with boundary singularities--applications to the Motz problem
• Solving Laplacian problems with boundary singularities: a comparison of a singular function boundary integral method with the \(p\)/\(hp\) version of the finite element method
• The post-processing approach in the finite element method—Part 2: The calculation of stress intensity factors
• The solution of Laplacian problems over L-shaped domains with a singular function boundary integral method
• Solution of the planar Newtonian stick–slip problem with the singular function boundary integral method
• A Singular Function Boundary Integral Method for Laplacian Problems with Boundary Singularities
• A hybrid‐element approach to crack problems in plane elasticity

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