3D J-integral evaluation for solids undergoing large elastic–plastic deformations with residual stresses and spatially varying mechanical properties of a material

Hiroshi Okada, Tatsuro Ishizaka, Akira Takahashi, Koichiro Arai, Yasunori Yusa

Research output: Contribution to journalArticle

Abstract

In this paper, a 3D J-integral based on the domain integral approach is presented for large deformation elastic–plastic fracture mechanics problems associated with residual stresses and spatially varying mechanical properties of a material. The proposed 3D J-integral has physical significance as the energy dissipation into the process zone. The derivations of the proposed J-integral are presented in detail. Through numerical examples, it is shown that the proposed J-integral is unconditionally path independent. The present formulation is a rigorous extension of the 2D-Tε integral of Okada and Atluri to 3D.

Original languageEnglish
Article number107212
JournalEngineering Fracture Mechanics
Volume236
DOIs
Publication statusPublished - Sep 2020

Keywords

  • Domain integral method
  • Elastic-plastic fracture
  • Energy release rate
  • Functionally graded material (FGM)
  • J-integral

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