Finite element evaluation of mixed mode stress intensity factors in functionally graded materials

Jeong Ho Kim, Glaucio H. Paulino

Research output: Contribution to journalArticlepeer-review

Abstract

This paper is directed towards finite element computation of fracture parameters in functionally graded material (FGM) assemblages of arbitrary geometry with stationary cracks. Graded finite elements are developed where the elastic moduli are smooth functions of spatial co-ordinates which are integrated into the element stiffness matrix. In particular, stress intensity factors for mode I and mixed-mode two-dimensional problems are evaluated and compared through three different approaches tailored for FGMs: Path-independent Jk*-integral, modified crack-closure integral method, and displacement correlation technique. The accuracy of these methods is discussed based on comparison with available theoretical, experimental or numerical solutions.

Original languageEnglish (US)
Pages (from-to)1903-1935
Number of pages33
JournalInternational Journal for Numerical Methods in Engineering
Volume53
Issue number8
DOIs
StatePublished - Mar 20 2002

Keywords

  • Displacement correlation
  • Finite element method (FEM)
  • Functionally graded material (FGM)
  • J-integral
  • Modified crack closure
  • Stress intensity factor (SIF)

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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