Solutions to the Periodic Eshelby Inclusion Problem in Two Dimensions

DOI10.1177/1081286509104492zbMath1257.74034OpenAlexW1979310763MaRDI QIDQ4905290

Liping Liu

Publication date: 15 February 2013

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

Full work available at URL: https://doi.org/10.1177/1081286509104492

zbMATH Keywords

complex variable methodperiodic inclusionsEshelby inclusion problem

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)

The Eshelby, Hill, moment and concentration tensors for ellipsoidal inhomogeneities in the Newtonian potential problem and linear elastostatics ⋮ Inclusions of General Shapes Having Constant Field Inside the Core and NonElliptical Neutral Coated Inclusions With Anisotropic Conductivity ⋮ A differential approach to microstructure-dependent bounds for multiphase heterogeneous media ⋮ Solutions to Eshelby’s problems of non-elliptical thermal inclusions and cylindrical elastic inclusions of non-elliptical cross section

Cites Work

• Inverse problems of the plane theory of elasticity
• Microstructures minimizing the energy of a two-phase elastic composite in two space dimensions. II: The Vigdergauz microstructure
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
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