The interaction integral for fracture of orthotropic functionally graded materials: Evaluation of stress intensity factors

Jeong Ho Kim, Glaucio H. Paulino

Research output: Contribution to journalArticlepeer-review

115 Scopus citations

Abstract

The interaction integral is an accurate and robust scheme for evaluating mixed-mode stress intensity factors. This paper extends the concept to orthotropic functionally graded materials and addresses fracture mechanics problems with arbitrarily oriented straight and/or curved cracks. The gradation of orthotropic material properties are smooth functions of spatial coordinates, which are integrated into the element stiffness matrix using the so-called "generalized isoparametric formulation". The types of orthotropic material gradation considered include exponential, radial, and hyperbolic-tangent functions. Stress intensity factors for mode I and mixed-mode two-dimensional problems are evaluated by means of the interaction integral and the finite element method. Extensive computational experiments have been performed to validate the proposed formulation. The accuracy of numerical results is discussed by comparison with available analytical, semi-analytical, or numerical solutions.

Original languageEnglish (US)
Pages (from-to)3967-4001
Number of pages35
JournalInternational Journal of Solids and Structures
Volume40
Issue number15
DOIs
StatePublished - Jul 2003
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Keywords

  • Finite element method (FEM)
  • Fracture mechanics
  • Functionally graded material (FGM)
  • Generalized isoparametric formulation (GIF)
  • Interaction integral
  • Stress intensity factor (SIF)

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