A comprehensive investigation of the formulations of the interaction integral method for the evaluation of stress intensity factors of three-dimensional cracks in functionally graded materials

Omar Tabaza, Hiroshi Okada, Yasunori Yusa

Research output: Contribution to journalArticlepeer-review

Abstract

The interaction integral for functionally graded materials can be expressed in a number of formulations. In this paper, some of the formulations that were found in the literature in addition to some new formulations are discussed. The discussion will focus on the postulates of elastic constants in deriving the interaction integral formulations in the form of domain integrals. Mode I and mixed-mode crack problems of functionally graded materials are presented. Then, the accuracies of the stress intensity factors computed by the presented interaction integrals are critically compared. It was found that all the SIFs computed by the presented formulations are equally accurate.

Original languageEnglish
Article number103297
JournalTheoretical and Applied Fracture Mechanics
Volume119
DOIs
Publication statusPublished - Jun 2022

Keywords

  • Domain integral method
  • Functionally graded material
  • Interaction integral method
  • Stress intensity factor

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