Proof of the strong Eshelby conjecture for plane and anti-plane anisotropic inclusion problems

DOI10.1007/S10659-009-9215-3zbMath1188.74007OpenAlexW2050452777WikidataQ122962873 ScholiaQ122962873MaRDI QIDQ976815

Bai-Xiang Xu, Dietmar Gross, Ying Tao Zhao, Min Zhong Wang

Publication date: 16 June 2010

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-009-9215-3

zbMATH Keywords

Eshelby inclusion problemanisotropic inclusion problemsdislocation-like interfaceEshelby conjecture

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Complex-variable methods applied to problems in solid mechanics (74S70)

Related Items (1)

Solution of the plane problem for anisotropic media containing an elliptic inhomogeneity with dislocation-like interface

Cites Work

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• Special properties of Eshelby tensor for a regular polygonal inclusion
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• On the shape of the Eshelby inclusions
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• The determination of the elastic field of a polygonal star shaped inclusion
• Inclusions with constant eigenstress
• On the modified Green operator integral for polygonal, polyhedral and other non-ellipsoidal inclusions
• Irreducible structure, symmetry and average of Eshelby's tensor fields in isotropic elasticity
• Solutions to the Pólya-Szegö conjecture and the weak Eshelby conjecture
• The arithmetic mean theorem of Eshelby tensor for a rotational symmetrical inclusion
• Elastic inclusion problems in plane elastostatics
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• Dislocations in visco-elastic materials
• Elastic Fields in a Polyhedral Inclusion With Uniform Eigenstrains and Related Problems
• The Arithmetic Mean Theorem of Eshelby Tensor for Exterior Points Outside the Rotational Symmetrical Inclusion
• A General Treatment of the Elastic Field of an Elliptical Inhomogeneity Under Antiplane Shear
• Elastic Fields in a Polygon-Shaped Inclusion With Uniform Eigenstrains
• Constant-Stress Inclusions in an Elastic Plate
• On the Elliptic Inclusion in Anti-Plane Shear
• The quasi Eshelby property for rotational symmetrical inclusions of uniform eigencurvatures within an infinite plate
• Solutions to the Eshelby conjectures

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