Computation of mixed-mode stress intensity factors for cracks in three-dimensional functionally graded solids

Matthew C. Walters, Glaucio H. Paulino, Robert H. Dodds

Research output: Contribution to journalArticle

Abstract

This work applies a two-state interaction integral to obtain stress intensity factors along cracks in three-dimensional functionally graded materials. The procedures are applicable to planar cracks with curved fronts under mechanical loading, including crack-face tractions. Interaction-integral terms necessary to capture the effects of material nonhomogeneity are identical in form to terms that arise due to crack-front curvature. A discussion reviews the origin and effects of these terms, and an approximate interaction-integral expression that omits terms arising due to curvature is used in this work to compute stress intensity factors. The selection of terms is driven by requirements imposed by material nonhomogeneity in conjunction with appropriate mesh discretization along the crack front. Aspects of the numerical implementation with (isoparametric) graded finite elements are addressed, and examples demonstrate the accuracy of the proposed method. Journal of Engineering Mechanics

Original languageEnglish (US)
Pages (from-to)1-15
Number of pages15
JournalJournal of Engineering Mechanics
Volume132
Issue number1
DOIs
StatePublished - Jan 1 2006

Keywords

  • Computation
  • Cracking
  • Stress intensity factor
  • Three-dimensional analysis

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering

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