A new kernel in BIE and the exterior boundary value problem in plane elasticity

DOI10.1007/s00707-008-0088-5zbMath1225.74114OpenAlexW2068508184MaRDI QIDQ836245

N. E. Zubov

Publication date: 31 August 2009

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-008-0088-5

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Complex-variable methods applied to problems in solid mechanics (74S70)

Related Items (7)

Properties of integral operators and solutions for complex variable boundary integral equation in plane elasticity for multiply connected regions ⋮ Numerical solution of elastic inclusion problem using complex variable boundary integral equation ⋮ Degenerate scale problem for plane elasticity in a multiply connected region with outer elliptic boundary ⋮ An asymptotic property of degenerate scales for multiple holes in plane elasticity ⋮ Formulation of indirect BIEs in plane elasticity using single or double layer potentials and complex variable ⋮ Dual boundary integral equation formulation in plane elasticity using complex variable ⋮ Variational formulation and upper bounds for degenerate scales in plane elasticity

Cites Work

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• Analysis of \(L\)-integral and theory of the derivative stress field in plane elasticity.
• An accurate technique for evaluating stress at boundary points in boundary element method.
• Eigenvalue and eigenfunction analysis arising from degenerate scale problem of BIE in plane elasticity
• Heritage and early history of the boundary element method
• Numerical solutions in three dimensional elastostatics
• Degenerate scales and boundary element analysis of two dimensional potential and elasticity problems
• Analytical study and numerical experiments for degenerate scale problems in the boundary element method for two-dimensional elasticity
• An integral equation approach to boundary value problems of classical elastostatics
• Degenerate scale problem when solving Laplace's equation by BEM and its treatment

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