The sliding inclusion under shear

I. Jasiuk, E. Tsuchida, T. Mura

Research output: Contribution to journalArticlepeer-review


The elastic fields due to a spheroidal inclusion, which undergoes constant shear eigenstrains and a spheroidal inhomogeneity under uniform shear stress applied at infinity are investigated. The interface between the material and the spheroid allows free sliding (cannot sustain shear tractions). The Papkovich-Neuber displacement potentials in the form of infinite series are used in the analysis. The dependence of stresses and displacements on the shear moduli ratio, Poisson's ratio and the shape of the subdomain is analyzed. It is discovered that stresses in the sliding spheroidal subdomain are not uniform, unlike the perfectly bonded inclusion solution where Eshelby's result holds. The applications to the evaluation of average elastic properties of the composites with sliding interfaces are also investigated and it is observed that sliding causes relaxation of the elastic moduli.

Original languageEnglish (US)
Pages (from-to)1373-1385
Number of pages13
JournalInternational Journal of Solids and Structures
Issue number10
StatePublished - 1987
Externally publishedYes

ASJC Scopus subject areas

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


Dive into the research topics of 'The sliding inclusion under shear'. Together they form a unique fingerprint.

Cite this