An efficient method for the elastic field in a transversely isotropic full space due to arbitrary inclusions

Le Zhao, Q. Jane Wang*, Zhanjiang Wang, Mengqi Zhang, Xin Zhang, Pu Li

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


The present study is on the analytical solution for the elastic field due to a cuboidal inclusion of uniform eigenstrain within a transversely isotropic full-space material, and a numerical method to model inclusions of any arbitrary shapes and with any eigenstrain distributions as the integration of a set of such cuboidal inclusions. The fast Fourier transform (FFT) is applied for efficient computation. The developed method and results are implemented to analyze the elastic field in a transversely isotropic full-space material containing inclusions of different shapes, different eigenstrain distributions, and multiple cuboids of different densities. Furthermore, the effect of material anisotropy on the stress field subjected to a spherical inclusion with pure dilatant eigenstrains is explored by comparing the behavior of a transversely isotropic material with that of a corresponding isotropic one. The numerical results show that the induced stresses are drastically influenced by the Young's moduli of transversely isotropic materials, and that material constant C33 has a large influence on normal stress σ33.

Original languageEnglish (US)
Pages (from-to)177-196
Number of pages20
JournalInternational Journal of Solids and Structures
StatePublished - Oct 15 2020


  • Arbitrary eigenstrains
  • Fast Fourier transform
  • Material anisotropy
  • Transversely isotropic materials

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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