Micromechanics-based homogenization of the effective physical properties of composites with an anisotropic matrix and interfacial imperfections

Seunghwa Ryu, Sangryun Lee, Jiyoung Jung, Jinyeop Lee, Youngsoo Kim

Research output: Contribution to journalReview articlepeer-review

21 Scopus citations


Micromechanics-based homogenization has been employed extensively to predict the effective properties of technologically important composites. In this review article, we address its application to various physical phenomena, including elasticity, thermal and electrical conduction, electric, and magnetic polarization, as well as multi-physics phenomena governed by coupled equations such as piezoelectricity and thermoelectricity. Especially, for this special issue, we introduce several research works published recently from our research group that consider the anisotropy of the matrix and interfacial imperfections in obtaining various effective physical properties. We begin with a brief review of the concept of the Eshelby tensor with regard to the elasticity and mean-field homogenization of the effective stiffness tensor of a composite with a perfect interface between the matrix and inclusions. We then discuss the extension of the theory in two aspects. First, we discuss the mathematical analogy among steady-state equations describing the aforementioned physical phenomena and explain how the Eshelby tensor can be used to obtain various effective properties. Afterwards, we describe how the anisotropy of the matrix and interfacial imperfections, which exist in actual composites, can be accounted for. In the last section, we provide a summary and outlook considering future challenges.

Original languageEnglish
Article number21
JournalFrontiers in Materials
StatePublished - 1 Mar 2019

Bibliographical note

Funding Information:
This work is supported by the National Research Foundation of Korea (NRF) funded by the Ministry of Science and ICT (2016M3D1A1900038, 2016R1C1B2011979, and 2018K2A9A2A12000223).

Publisher Copyright:
© 2019 Ryu, Lee, Jung, Lee and Kim.


  • Anisotropy
  • Effective properties
  • Homogenization
  • Interfacial imperfection
  • Micromechanics


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