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 language | English |
|---|---|
| Pages (from-to) | 1749-1762 |
| Number of pages | 14 |
| Journal | Mathematics and Mechanics of Solids |
| Volume | 24 |
| Issue number | 6 |
| DOIs | |
| State | Published - 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