Identities for the fundamental solution of thin plate bending problems and the nonuniqueness of the hypersingular BIE solution for multi-connected domains

DOI10.1016/j.enganabound.2013.01.008zbMath1297.74050OpenAlexW2144680501MaRDI QIDQ463656

Shuo Huang, Yijun J. Liu

Publication date: 17 October 2014

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2013.01.008

zbMATH Keywords

boundary element methodfundamental solutionboundary integral equationthin plate bendingintegral identities

Mathematics Subject Classification ID

Plates (74K20) Boundary element methods applied to problems in solid mechanics (74S15) Bifurcation and buckling (74G60) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (2)

Taylor series fast multipole boundary element method for solution of reissners shear deformable plate bending problems ⋮ Boundary mesh free method with distributed sources for Kirchhoff plate bending problems

Cites Work

• A new fast multipole boundary element method for solving 2-D Stokes flow problems based on a dual BIE formulation
• Evaluation of the degenerate scale for BIE in plane elasticity and antiplane elasticity by using conformal mapping
• Degenerate scale for multiply connected Laplace problems
• Finite deflection analysis of elastic plate by the boundary element method
• An integral equation approach to finite deflection of elastic plates
• A general boundary integral formulation for the numerical solution of plate bending problems
• Symmetric BE method in two-dimensional elasticity: Evaluation of double integrals for curved elements
• New identities for fundamental solutions and their applications to non-singular boundary element formulations
• Degenerate scale for the analysis of circular thin plate using the boundary integral equation method and boundary element methods
• Symmetric Galerkin BEM for multi-connected bodies
• A new fast multipole boundary element method for solving large-scale two-dimensional elastostatic problems
• The direct boundary element method in plate bending
• Boundary element method applied to the analysis of thin plates
• Inelastic Analysis of Transverse Deflection of Plates by the Boundary Element Method
• Boundary element analysis for the Helmholtz eigenvalue problems with a multiply connected domain
• Spurious and true eigensolutions of Helmholtz BIEs and BEMs for a multiply connected problem
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