Pile analysis by simple integral equation methods

DOI10.1007/BF01877399zbMath0659.73024OpenAlexW1966492429MaRDI QIDQ1112644

Tian-quan Yun

Publication date: 1981

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01877399

zbMATH Keywords

initial stresselastic half-spaceerror estimationone-dimensionalintegral equation methodsFredholm integral equation of the first kindnon-singularslidesaxisymmetrical loadsBoussinesq's point forceMindlin's horizontal point forcesMindlin's vertical forcestwo coupled Fredholm integral equations of the first kindvertical loaded pile

Mathematics Subject Classification ID

Fredholm integral equations (45B05) Geophysical solid mechanics (74L05) Theoretical approximation of solutions to integral equations (45L05) Elastic materials (74B99)

Related Items (5)

Analysis of sloping elastic pile under arbitrary loads by line-loaded integral equation method ⋮ Elastic analysis of orthotropic plane problems by the spline fictitious boundary element method ⋮ Uniqueness of solution of field point of singular source outside-region-distribution method ⋮ Torsion of a rigid circular shaft of varying diameter embedded in an elastic half space ⋮ Representation theorem and one-iteration theorem for Fredholm integral equation of the first kind \(Ax=y\)

Cites Work

• Unnamed Item
• An iteration method for integral equations arising from axisymmetric loading problems
• Integral equation methods for analysis of piece-wise non-homogeneous three-dimensional elastic solids of arbitrary shape
• Stress analysis for an elastic half space containing an axially-loaded rigid cylindrical rod
• On the diffusion of an axial load from an infinite cylindrical bar embedded in an elastic medium
• On Iteration Procedures for Equations of the First Kind, Ax = y, and Picard's Criterion for the Existence of a Solution

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