Systematic compilation of integral equations of the Rizzo type and of Kupradze's functional equations for boundary value problems of plane elastostatics

DOI10.1007/BF00043134zbMath0434.73076OpenAlexW2024718879MaRDI QIDQ1139974

Ulrich Heise

Publication date: 1980

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00043134

zbMATH Keywords

boundary integral method of elastostaticsfunctional equations of Kupradze kindintegral equations of Rizzo- type

Mathematics Subject Classification ID

Related Items (16)

A Galerkin approach to boundary element elastoplastic analysis ⋮ Deformation of a long thermoelastic rod of rectangular normal cross-section under mixed boundary conditions by boundary integrals ⋮ Singular and fundamental solutions to potential and elasticity problems for a Riemann surface ⋮ Condition of boundary integral equations in which the sought-for function and the given right-hand side are defined on different domains; round-off errors in the numerical solutions ⋮ Stress analysis for long thermoelastic rods with mixed boundary conditions ⋮ Removal of the zero eigenvalues of integral operators in elastostatic boundary value problems ⋮ Comparison of round-off errors in integral equation formulations of elastostatical boundary value problems ⋮ Solution of integral equations for plane elastostatical problems with discontinuously prescribed boundary values ⋮ Solution of plane anisotropic elastostatical boundary value problems by singular integral equations ⋮ Combination of the boundary integral equation method and the extrapolation method ⋮ Fundamental solutions to Laplace's potential operator and to Navier's elasticity operator for Riemann surfaces with finite and infinite numbers of sheets ⋮ On the method of functional equations and the performance of desingularized boundary element methods ⋮ On the complete system of fundamental solutions for anisotropic slices and slabs: A comparison by use of the slab analogy ⋮ Condition number of matrices derived from two classes of integral equations ⋮ Fundamental solutions of Navier's differential operator for elastic Riemann spaces with a finite and with an infinite number of sheets ⋮ On the formulation of the fundamental solutions for orthotropic plane elasticity

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