A circular Eshelby inclusion interacting with a non-parabolic open inhomogeneity with internal uniform anti-plane stresses

DOI10.1177/1081286519884351zbMath1446.74101OpenAlexW2995205965WikidataQ126567235 ScholiaQ126567235MaRDI QIDQ5133440

Ping Yang, Xu Wang, Peter Schiavone

Publication date: 10 November 2020

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286519884351

zbMATH Keywords

conformal mappinguniform stress fieldanti-plane elasticitynon-parabolic inhomogeneitycircular eshelby inclusion

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Inhomogeneity in solid mechanics (74E05) Complex-variable methods applied to problems in solid mechanics (74S70)

Related Items (4)

A non-circular Eshelby inclusion near a non-parabolic inhomogeneity admitting internal uniform stresses ⋮ A hole of irregular shape interacting with a non-parabolic open inhomogeneity with internal uniform anti-plane stresses ⋮ Unnamed Item ⋮ A circular Eshelby inclusion with linear eigenstrains interacting with a coated non-parabolic inhomogeneity with internal uniform anti-plane stresses

Cites Work

• Unnamed Item
• Unnamed Item
• On the shape of the Eshelby inclusions
• On the absence of Eshelby property for non-ellipsoidal inclusions
• Inclusions with constant eigenstress
• Uniformity of stresses inside a parabolic inhomogeneity
• Elastic inclusion problems in plane elastostatics
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• The elastic field outside an ellipsoidal inclusion
• Inclusion Pairs Satisfying Eshelby's Uniformity Property
• A General Treatment of the Elastic Field of an Elliptical Inhomogeneity Under Antiplane Shear
• On the uniformity of stresses inside an inhomogeneity of arbitrary shape
• On the Elliptic Inclusion in Anti-Plane Shear
• Properties of the self-similarly expanding Eshelby inclusions and application to the dynamic “Hill Jump Conditions”
• Uniform fields inside two non-elliptical inclusions
• The dynamic generalization of the Eshelby inclusion problem and its static limit
• Solutions to the Eshelby conjectures
• ELLIPTIC ELASTIC INCLUSION IN AN INFINITE ELASTIC PLATE

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