Closed form solution and numerical analysis for Eshelby's elliptic inclusion in plane elasticity

DOI10.1007/S10483-014-1831-9zbMath1302.74018OpenAlexW2002085626MaRDI QIDQ740438

Yi-Zhou Chen

Publication date: 2 September 2014

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

Full work available at URL: https://doi.org/10.1007/s10483-014-1831-9

zbMATH Keywords

complex variable methodclosed form solutionEshelby's elliptic inclusion

Mathematics Subject Classification ID

Classical linear elasticity (74B05) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Explicit solutions of equilibrium problems in solid mechanics (74G05) Eigenvalue problems for integral equations (45C05)

Related Items (3)

Geometrical shape of in-plane inclusion characterized by polynomial internal stress field under uniform eigenstrains ⋮ Solution for elliptic inclusion in an infinite plate with remote loading and Eshelby’s eigenstrain of polynomial type ⋮ Numerical solution of Eshelby's elastic inclusion problem in plane elasticity by using boundary integral equation

Cites Work

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• Application of the boundary-domain integral equation in elastic inclusion problems
• Two circular inclusions with inhomogeneous interfaces interacting with a circular Eshelby inclusion in anti-plane shear.
• The arithmetic mean theorem of Eshelby tensor for a rotational symmetrical inclusion
• Stress analysis of an finite plate containing an elastic rectangular inclusion
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• Elastic Fields in a Polyhedral Inclusion With Uniform Eigenstrains and Related Problems
• Elastic Fields in a Polygon-Shaped Inclusion With Uniform Eigenstrains

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