A symmetric boundary element model for the analysis of Kirchhoff plates

DOI10.1016/j.enganabound.2008.04.007zbMath1181.74146OpenAlexW2070603752MaRDI QIDQ1005088

J. Martínez

Publication date: 16 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2008.04.007

zbMATH Keywords

shape functionsanalytical integrationBetti theoremlimit approach

Mathematics Subject Classification ID

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

Related Items (6)

The regular hybrid boundary node method in the bending analysis of thin plate structures subjected to a concentrated load ⋮ A three-dimensional boundary element stress and bending analysis of transversely/longitudinally graded plates with circular cutouts under biaxial loading ⋮ Dual reciprocity hybrid radial boundary node method for Winkler and Pasternak foundation thin plate ⋮ Hinged and supported plates with corners ⋮ Dual reciprocity hybrid radial boundary node method for the analysis of Kirchhoff plates ⋮ Analytical integration of singular kernels in symmetric boundary element analysis of Kirchhoff plates

Cites Work

• General stress analysis method by means of integral equations and boundary elements
• Boundary integral formulation for plate flexure with arbitrary boundary conditions
• A general boundary integral formulation for the numerical solution of plate bending problems
• Analytical integrations for two-dimensional elastic analysis by the symmetric Galerkin boundary element method
• An integral equation formulation of plate bending problems
• How to deal with hypersingular integrals in the symmetric BEM
• Analytical integration of singular kernels in symmetric boundary element analysis of Kirchhoff plates
• Boundary elements and symmetry
• A high-continuity finite element model for two-dimensional elastic problems
• The direct boundary element method in plate bending
• A galerkin symmetric boundary-element method in elasticity: Formulation and implementation
• A boundary integral method applied to plates of arbitrary plan form
• Boundary element discretization of plane elasticity and plate bending problems
• A Galerkin symmetric and direct BIE method for Kirchhoff elastic plates: formulation and implementation
• A new system of boundary integral equations for plates with free edges
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