A spherical inclusion in an elastic half-space under shear

I. Jasiuk, P. Y. Sheng, E. Tsuchida

Research output: Contribution to journalArticlepeer-review


We find the elastic fields in a half-space (matrix) having a spherical inclusion and subjected to either a remote shear stress parallel to its traction-free boundary or to a uniform shear transformation strain (eigenstrain) in the inclusion. The inclusion has distinct properties from those of the matrix, and the interface between the inclusion and the surrounding matrix is either perfectly bonded or is allowed to slip without friction. We obtain an analytical solution to this problem using displacement potentials in the forms of infinite integrals and infinite series. We include numerical examples which give the local elastic fields due to the inclusion and the traction-free surface.

Original languageEnglish (US)
Pages (from-to)471-479
Number of pages9
JournalJournal of Applied Mechanics, Transactions ASME
Issue number3
StatePublished - Sep 1997
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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