The hypersingular integral equation for the bending moments \(m_{xx}\), \(m_{xy}\) and \(m_{yy}\) of the Kirchhoff plate

DOI10.1007/BF00350286zbMath0814.73032MaRDI QIDQ1346072

B. Knöpke

Publication date: 19 March 1995

Published in: Computational Mechanics (Search for Journal in Brave)

zbMATH Keywords

Cauchy datasymbolic manipulation program Mathematica

Mathematics Subject Classification ID

Plates (74K20) Boundary element methods applied to problems in solid mechanics (74S15)

Related Items

An iterative regularizing method for an incomplete boundary data problem for the biharmonic equation ⋮ Computation of moments and stresses in laminated composite plates by the boundary element method ⋮ Evaluation of Green's boundary formula and its first- and second-order derivatives in Legendre series ⋮ Analytical integration of singular kernels in symmetric boundary element analysis of Kirchhoff plates ⋮ A study of free terms for plate problems in the dual boundary integral equations ⋮ A direct approach for boundary integral equations with high-order singularities

Uses Software

• Mathematica

Cites Work

• The Somigliana identity on piecewise smooth surfaces
• A general boundary integral formulation for the numerical solution of plate bending problems
• How to deal with hypersingular integrals in the symmetric BEM
• Boundary integration and interpolation procedures for plate bending
• The direct boundary element method in plate bending
• Evaluation of boundary integrals for plate bending
• A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
• A boundary integral method applied to plates of arbitrary plan form
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