Stress distribution in and around spheroidal inclusions and voids at finite concentration

G. P. Tandon, G. J. Weng

Research output: Contribution to journalArticlepeer-review

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Abstract

A simple, albeit approximate, close-form solution is developed to study the elastic stress and energy distribution in and around spheroidal inclusions and voids at finite concentration. This theory combines Eshelby’s solution of an ellipsoidal inclusion and Mori-Tanaka’s concept of average stress in the matrix. The inclusions are taken to be homogeneously dispersed and undirectionally aligned. The analytical results are obtained for the general three-dimensional loading, and further simplified for uniaxial tension applied parallel to the axis of inclusions. The ensuing stress and energy fields under tensile loading are illustrated for both hard inclusions and voids, ranging from prolate to oblate shapes, at several concentrations.

Original languageEnglish (US)
Pages (from-to)511-518
Number of pages8
JournalJournal of Applied Mechanics, Transactions ASME
Volume53
Issue number3
DOIs
StatePublished - Sep 1986

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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