Anisotropic imperfect interface in elastic particulate composite with initial stress

Volodymyr I. Kushch, Sofia G. Mogilevskaya

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


The model of an anisotropic interface in an elastic particulate composite with initial stress is developed as the first-order approximation of a transversely isotropic interphase between an isotropic matrix and spherical particles. The model involves eight independent parameters with a clear physical meaning and conventional dimensionality. This ensures its applicability at various length scales and flexibility in modeling the interfaces, characterized by the initial stress and discontinuity of the displacement and stress fields. The relevance of this model to the theory of material interfaces and its applicability in nanomechanics is discussed. The proposed imperfect interface model is incorporated in the unit cell model of a spherical particle composite with thermal stress owing to uniform temperature change. The rigorous solution to the model boundary value problem is obtained using the multipole expansion method. The reported accurate numerical data confirm the correctness of the developed theory, provide an estimate of its accuracy and applicability limits in the multiparticle environment, and reveal significant effects of the interphase or interface anisotropy and initial stress on the local fields and overall thermoelastic properties of the composite.

Original languageEnglish (US)
Pages (from-to)872-895
Number of pages24
JournalMathematics and Mechanics of Solids
Issue number5
StatePublished - May 2022

Bibliographical note

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 Science Foundation (grant number NSF CMMI-2112894).

Publisher Copyright:
© The Author(s) 2021.


  • Spherical particle composite
  • anisotropic interphase
  • imperfect interface
  • multipole expansion
  • nanomechanics
  • thermal stress


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