On the displacement of a two-dimensional eshelby inclusion of elliptic cylindrical shape

Xiaoqing Jin*, Xiangning Zhang, Pu Li, Zheng Xu, Yumei Hu, Leon M Keer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

In a companion paper, we have obtained the closed-form solutions to the stress and strain fields of a two-dimensional Eshelby inclusion. The current work is concerned with the complementary formulation of the displacement. All the formulae are derived in explicit closed-form, based on the degenerate case of a three-dimensional (3D) ellipsoidal inclusion. A benchmark example is provided to validate the present analytical solutions. In conjunction with our previous study, a complete elasticity solution to the classical elliptic cylindrical inclusion is hence documented in Cartesian coordinates for the convenience of engineering applications.

Original languageEnglish (US)
Article number074501
JournalJournal of Applied Mechanics, Transactions ASME
Volume84
Issue number7
DOIs
StatePublished - Jul 1 2017

Keywords

  • Eshelby inclusion
  • displacement Eshelby tensor
  • displacement gradient
  • eigenstrain
  • micromechanics

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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