Closed-form solution for Eshelby's elliptic inclusion in antiplane elasticity using complex variable

DOI10.1007/s00033-013-0305-5zbMath1414.74003OpenAlexW2074004981MaRDI QIDQ390345

Yi-Zhou Chen

Publication date: 8 January 2014

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-013-0305-5

zbMATH Keywords

complex variable methodconformal mappingclosed-form solutionantiplane elasticityEshelby's elliptic inclusion

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Structured surfaces and interfaces, coexistent phases (74A50) Random materials and composite materials (74A40)

Related Items

Solution for Eshelby's elliptic inclusion with polynomials distribution of the eigenstrains in plane elasticity, Numerical solution for thermal confocal elliptic dissimilar layers in plane elasticity, Numerical solution for a crack embedded in multiple elliptic layers with different elastic properties, Inclusions inside a bounded elastic body undergoing anti-plane shear, Null-field integral approach for the piezoelectricity problems with multiple elliptical inhomogeneities, Transfer matrix method for the solution of multiple elliptic layers with different elastic properties. I: Infinite matrix case, Two imperfectly bonded half-planes with an arbitrary inclusion subject to linear eigenstrains in anti-plane shear, Solution of multiple confocally elliptical layers with dissimilar properties in antiplane elasticity with eigenstrains and remote loading

Cites Work

• Unnamed Item
• Unnamed Item
• On the uniform stress state inside an inclusion of arbitrary shape in a three-phase composite
• Eshelby's problem of non-elliptical inclusions
• A unified treatment of the elastic elliptical inclusion under antiplane shear
• Eshelby inclusion of arbitrary shape in an anisotropic plane or half-plane
• Strain gradient solution for the Eshelby-type anti-plane strain inclusion problem
• The arithmetic mean theorem for the \(N\)-fold rotational symmetrical inclusion in anti-plane elasticity
• The arithmetic mean theorem of Eshelby tensor for a rotational symmetrical 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
• A General Treatment of the Elastic Field of an Elliptical Inhomogeneity Under Antiplane Shear
• Task-specific recruitment of dorsal and ventral visual areas during tactile perception
• Elastic Fields in a Polygon-Shaped Inclusion With Uniform Eigenstrains
• On the Elliptic Inclusion in Anti-Plane Shear