Solution for a problem of linear plane elasticity with mixed boundary conditions on an ellipse by the method of boundary integrals

DOI10.1016/j.joems.2013.04.009zbMath1441.74080OpenAlexW2045740668MaRDI QIDQ392358

A. F. Ghaleb, A. S. Gjam, H. A. Abdusalam

Publication date: 13 January 2014

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2013.04.009

zbMATH Keywords

harmonic functionsingular solutionisotropic mediumboundary collocation method

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10)

Related Items (4)

Deformation of a long thermoelastic rod of rectangular normal cross-section under mixed boundary conditions by boundary integrals ⋮ On singularities of solution of the elasticity system in a bounded domain with angular corner points ⋮ Stress analysis for long thermoelastic rods with mixed boundary conditions ⋮ Solution of a problem linear plane elasticity with mixed boundary conditions by the method of boundary integrals

Cites Work

• Unnamed Item
• Models of corner and crack singularity of linear elastostatics and their numerical solutions
• Combined Trefftz methods of particular and fundamental solutions for corner and crack singularity of linear elastostatics
• Integral solutions of mixed problems in a theory of plane strain elasticity with microstructure
• A variant of Trefftz's method by boundary Fourier expansion for solving regular and singular plane boundary-value problems
• Boundary value problems for mixed type equations and applications
• Mechanical quadrature methods and their splitting extrapolations for solving boundary integral equations of axisymmetric Laplace mixed boundary value problems
• Boundary integral equation methods in the theory of elasticity of hemitropic materials: a brief review
• Integral equation methods for elliptic problems with boundary conditions of mixed type
• On Kupradze's method of approximate solution in linear elasticity
• On the boundary integral formulation of the plane theory of elasticity with applications (analytical aspects)
• On the boundary integral formulation of the plane theory of elasticity (computational aspects).
• The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics
• The initial-boundary value mixed problems for elastic half-plane with the conditions of contact friction
• Mixed types of boundary conditions at corners of linear elastostatics and their numerical solutions
• The singular function boundary integral method for biharmonic problems with crack singularities
• Elliptic model problems including mixed boundary conditions and material heterogeneities
• Meshless local boundary integral equation method for 2D elastodynamic problems
• On the Direct and Indirect Methods in the Theory of Elastic Plates
• The Boundary Integral Equation Method in Plane Elasticity

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