Solutions to Eshelby’s problems of non-elliptical thermal inclusions and cylindrical elastic inclusions of non-elliptical cross section

DOI10.1098/rspa.2010.0271zbMath1428.74064OpenAlexW2108071366MaRDI QIDQ3076700

Qi-Chang He, Wennan Zou, Quan-Shui Zheng

Publication date: 23 February 2011

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2010.0271

zbMATH Keywords

explicit solutionEshelby's problemvoids and inclusionsthermal conductioncylindrical elastic inclusionthree-dimensional anisotropic medium

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Thermal effects in solid mechanics (74F05)

Related Items

Polarization approximations for macroscopic conductivity of isotropic multicomponent materials ⋮ Strain gradient solution for the Eshelby-type anti-plane strain inclusion problem ⋮ The Eshelby, Hill, moment and concentration tensors for ellipsoidal inhomogeneities in the Newtonian potential problem and linear elastostatics ⋮ The Newtonian potential inhomogeneity problem: non-uniform eigenstrains in cylinders of non-elliptical cross section ⋮ Inclusions inside a bounded elastic body undergoing anti-plane shear ⋮ Uniformity of the Green operator and Eshelby tensor for hyperboloidal domains in infinite media

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• The elastic field outside an ellipsoidal inclusion
• Two-dimensional tensor function representation for all kinds of material symmetry
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