Models of corner and crack singularity of linear elastostatics and their numerical solutions

DOI10.1016/j.enganabound.2010.01.001zbMath1267.74050OpenAlexW2070092519MaRDI QIDQ351585

Lih-Jier Young, Ming-Gong Lee, Po-Chun Chu, Zi Cai Li

Publication date: 8 July 2013

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2010.01.001

zbMATH Keywords

corner singularitycrack tipelastostaticsTrefftz methodcollocation Trefftz methodcrack modelscrack singularitysingular particular solutions

Mathematics Subject Classification ID

Related Items (11)

Solution for a problem of linear plane elasticity with mixed boundary conditions on an ellipse by the method of boundary integrals ⋮ Hybrid and collocation Trefftz methods for traction boundary conditions in linear elastostatics ⋮ Mixed types of boundary conditions at corners of linear elastostatics and their numerical solutions ⋮ 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 ⋮ Error analysis of the method of fundamental solutions for linear elastostatics ⋮ Collocation Trefftz methods for the stokes equations with singularity ⋮ Singular functions for heterogeneous composites with cracks and notches; the use of equilibrated singular basis functions ⋮ Comparison of different methods for choosing the collocation points in the boundary collocation method for 2D-harmonic problems with special purpose Trefftz functions ⋮ Corner and crack singularity of different boundary conditions for linear elastostatics and their numerical solutions ⋮ Numerical solution of non-Newtonian fluid flow and heat transfer problems in ducts with sharp corners by the modified method of fundamental solutions and radial basis function collocation

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