Special properties of Eshelby tensor for a regular polygonal inclusion

DOI10.1007/S10409-005-0034-XzbMath1202.74024OpenAlexW1976448393MaRDI QIDQ612476

Bai-Xiang Xu, Min Zhong Wang

Publication date: 28 December 2010

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10409-005-0034-x

zbMATH Keywords

arithmetic meanaverageEshelby tensorcenter of regular polygonregular polygonal inclusion

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Inhomogeneity in solid mechanics (74E05)

Related Items (6)

Segregated carbon nanotube networks in CNT-polymer nanocomposites for higher electrical conductivity and dielectric permittivity, and lower percolation threshold ⋮ The Eshelby property of sliding inclusions ⋮ Solution of the Eshelby-type anti-plane strain polygonal inclusion problem based on a simplified strain gradient elasticity theory ⋮ Analytical solution for the displacement of a polygonal inclusion with a special application to the case of linear eigenstrain ⋮ The arithmetic mean theorem for the \(N\)-fold rotational symmetrical inclusion in anti-plane elasticity ⋮ Proof of the strong Eshelby conjecture for plane and anti-plane anisotropic inclusion problems

Cites Work

• Unnamed Item
• Eshelby tensor of a polygonal inclusion and its special properties
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• On the Stress Field Due to Initial Strains in a Cuboid Surrounded by an Infinite Elastic Space
• Elastic Fields in a Polygon-Shaped Inclusion With Uniform Eigenstrains

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