Mixed-mode J-integral formulation and implementation using graded elements for fracture analysis of nonhomogeneous orthotropic materials

Jeong Ho Kim, Glaucio H. Paulino

Research output: Contribution to journalArticlepeer-review

Abstract

The path-independent J*k-integral, in conjunction with the finite element method (FEM), is presented for mode I and mixed-mode crack problems in orthotropic functionally graded materials (FGMs) considering plane elasticity. A general procedure is presented where the crack is arbitrarily oriented, i.e. it does not need to be aligned with the principal orthotropy directions. Smooth spatial variations of the independent engineering material properties are incorporated into the element stiffness matrix using a "generalized isoparametric formulation", which is natural to the FEM. Both exponential and linear variations of the material properties are considered. Stress intensity factors and energy release rates for pure mode I and mixed-mode boundary value problems are numerically evaluated by means of the equivalent domain integral especially tailored for orthotropic FGMs. Numerical results are discussed and validated against available theoretical and numerical solutions.

Original languageEnglish (US)
Pages (from-to)107-128
Number of pages22
JournalMechanics of Materials
Volume35
Issue number1-2
DOIs
StatePublished - Jan 2003

Keywords

  • Equivalent domain integral
  • Finite element method
  • Functionally graded material
  • J*-integral
  • Orthotropic material
  • Stress intensity factor

ASJC Scopus subject areas

  • Materials Science(all)
  • Instrumentation
  • Mechanics of Materials

Fingerprint Dive into the research topics of 'Mixed-mode J-integral formulation and implementation using graded elements for fracture analysis of nonhomogeneous orthotropic materials'. Together they form a unique fingerprint.

Cite this