The singular function boundary integral method for a two-dimensional fracture problem

DOI10.1016/j.enganabound.2005.10.001zbMath1195.74225OpenAlexW2124113509MaRDI QIDQ1958139

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.2005.10.001

zbMATH Keywords

Lagrange multipliersstress intensity factorsboundary integral methodbiharmonic equationboundary 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 (5)

The singular function boundary integral method for an elastic plane stress wedge beam problem with a point boundary singularity ⋮ The singular function boundary integral method for biharmonic problems with crack singularities ⋮ The singular function boundary integral method for 3-D Laplacian problems with a boundary straight edge singularity ⋮ Simple iterative method for solving problems for plates with partial internal supports ⋮ Unnamed Item

Cites Work

• The collocation Trefftz method for biharmonic equations with crack singularities
• Comparison of two methods for the computation of singular solutions in elliptic problems
• 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 1: Calculation of displacements, stresses and other higher derivatives of the displacements
• The post-processing approach in the finite element method—Part 2: The calculation of stress intensity factors
• Modified methods of fundamental solutions for harmonic and biharmonic problems with boundary singularities
• Trefftz method for Kirchhoff plate bending problems
• The solution of Laplacian problems over L-shaped domains with a singular function boundary integral method
• Numerical analysis of singularities in two‐dimensions part 1: Computation of eigenpairs
• Indirect methods of collocation: Trefftz-Herrera collocation
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