Modified Eshelby tensor for an anisotropic matrix with interfacial damage

Sangryun Lee, Jinyeop Lee, Seunghwa Ryu

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

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
Volume24
Issue number6
DOIs
StatePublished - 1 Jun 2019

Bibliographical note

Funding Information:
Sangryun Lee and Jinyeop Lee contributed equally to this work. The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work was supported by the National Research Foundation of Korea (NRF) funded by the Ministry of Science and ICT (2016M3D1A1900038 and 2016R1C1B2011979).

Funding Information:
The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work was supported by the National Research Foundation of Korea (NRF) funded by the Ministry of Science and ICT (2016M3D1A1900038 and 2016R1C1B2011979).

Publisher Copyright:
© The Author(s) 2018.

Keywords

  • anisotropic matrix
  • Eshelby tensor
  • interfacial damage

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