Corner singularities of Kirchhoff plates and the boundary element method

DOI10.1016/S0045-7825(98)00287-4zbMath0933.74073MaRDI QIDQ1299294

Friedel Hartmann, Roland Maucher

Publication date: 29 March 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

inhomogeneous biharmonic equationintegral representation of stress intensity factoriterative dual singular function methodleading singular termsplitting into regular and singular part

Mathematics Subject Classification ID

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

Related Items (3)

A general degree hybrid equilibrium finite element for Kirchhoff plates ⋮ Hinged and supported plates with corners ⋮ A study of free terms for plate problems in the dual boundary integral equations

Cites Work

• The treatment of singularities in the calculation of stress intensity factors using the boundary integral equation method
• On finite element methods for elliptic equations on domains with corners
• Coefficients in the asymptotics of the solutions of elliptic boundary- value problems in a cone
• A general boundary integral formulation for the numerical solution of plate bending problems
• An introduction to partial differential equations
• On the use of singular functions with finite element approximations
• On the Green's Function for the Biharmonic Equation in an Infinite Wedge
• On the boundary value problem of the biharmonic operator on domains with angular corners
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