The boundary contour method based on the equivalent boundary integral equation for 2-D linear elasticity

DOI<811::AID-CNM295>3.0.CO;2-4 10.1002/(SICI)1099-0887(199911)15:11<811::AID-CNM295>3.0.CO;2-4zbMath0969.74074OpenAlexW2002065790MaRDI QIDQ4933780

Shen-Jie Zhou, Zhiyuan Cao, Shu-Xun Sun

Publication date: 17 January 2000

Full work available at URL: https://doi.org/10.1002/(sici)1099-0887(199911)15:11<811::aid-cnm295>3.0.co;2-4

zbMATH Keywords

fundamental solutionboundary integral equationpotential functionsexpansion coefficientstwo-dimensional elasticitysystem of algebraic equationsTrefftz functionscollocation of boundary conditions

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15)

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Cites Work

• The use of simple solutions in the regularization of hypersingular boundary integral equations
• Equivalent boundary integral equations for plane elasticity
• The boundary contour method for two-dimensional linear elasticity with quadratic boundary elements
• Application of the Trefftz method in plane elasticity problems
• Non-equivalence of the conventional boundary integral formulation and its elimination for plane elasticity problems
• A Novel Boundary Element Method for Linear Elasticity With No Numerical Integration for Two-Dimensional and Line Integrals for Three-Dimensional Problems
• The Boundary Contour Method for Three-Dimensional Linear Elasticity