Gradient elasticity theory for a mode III crack in a functionally graded material

G. H. Paulino, A. C. Fannjiang, Y. S. Chan

Research output: Contribution to journalConference articlepeer-review

Abstract

Anisotropic strain gradient elasticity theory is applied to the solution of a mode III crack in a functionally graded material (FGM). The theory includes both volumetric and surface energy terms, and a particular form of the moduli variation. The crack boundary value problem is solved by means of Fourier transform and a hypersingular integral equation of the Fredholm type. The solution naturally leads to a cusping crack, which is consistent with Barenblatt's 'cohesive zone' theory, but without the assumption regarding existence of interatomic forces. The numerical implementation is discussed and examples are given, which provide insight into the cracking phenomenon in FGMs governed by strain gradient elasticity with characteristic lengths associated to volumetric and surface strain energy terms.

Original languageEnglish (US)
Pages (from-to)971-976
Number of pages6
JournalMaterials Science Forum
Volume308-311
DOIs
StatePublished - 1999
EventProceedings of the 1998 5th International Symposium on Functionally Graded Materials, FGM '98 - Dresden, Ger
Duration: Oct 26 1998Oct 29 1998

ASJC Scopus subject areas

  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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