Green’s functions for generalized plane problems of anisotropic bodies with a hole or a rigid inclusion

Yung-Ming Wang, Jiann Quo Tarn

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

Green’s function solutions are presented for the generalized plane problems of a point force and an edge dislocation located in the general anisotropic elastic medium with a hole or with a rigid inclusion. The Lekhnitskii’s complex potential approach is used and a general expression of the solutions is obtained. Particular attention is paid to the determination of appropriate mapping functions that map the exterior of the hole or the inclusion onto the exterior of a unit circle. The conditions under which the conformal mapping is possible are explored. Examples using the Green’s functions for the solution of notch problem are given.

Original languageEnglish
Pages (from-to)583-588
Number of pages6
JournalJournal of Applied Mechanics, Transactions ASME
Volume60
Issue number3
DOIs
Publication statusPublished - 1993 Jan 1

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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