Modified Eshelby tensor for an anisotropic matrix with interfacial damage

Sangryun Lee, Jinyeop Lee, Seunghwa Ryu

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


We derive a simple tensor algebraic expression of the modified Eshelby tensor for a spherical inclusion embedded in an arbitrarily anisotropic matrix in terms of three tensor quantities (the fourth-order identity tensor, the elastic stiffness tensor, and the Eshelby tensor) and two scalar quantities (the inclusion radius and interfacial spring constant), when the interfacial damage is modelled as a linear-spring layer of vanishing thickness. We validate the expression for a triclinic crystal involving 21 independent elastic constants against finite element analysis.

Original languageEnglish
Pages (from-to)1749-1762
Number of pages14
JournalMathematics and Mechanics of Solids
Issue number6
StatePublished - 1 Jun 2019

Bibliographical note

Publisher Copyright:
© The Author(s) 2018.


  • Eshelby tensor
  • anisotropic matrix
  • interfacial damage


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