Presentation Information

[350201-01-01]Redefined three-dimensional J-integral and J-integral range ΔJ for finite strain elastic-plastic fracture mechanics (considerations on energy release rate and weakly singular terms)

Prof. Hiroshi Okada (Tokyo University of Science)
In this presentation, the redefined three-dimensional J-integral and J-integral range ΔJ as finite strain elastic-plastic crack parameter with considerations on energy release rate and weakly singular terms are presented. The redefined three-dimensional J-integral was proposed by the authors with rigorous considerations on the power of external force and deformation energy stored or dissipated in the solid. In the process of deriving the redefined J-integral, weakly singular terms that were related to the deformation energy dissipation in the vicinity of the crack front were found to arise. They played important roles in the characterization of elastic-plastic crack propagation phenomenon. However, the weakly singular terms have not been discussed in previous studies on the three-dimensional J-integral. Then, the redefined J-integral was extended to the J-integral range ΔJ for cyclic load problems.
Crack propagation analyses both under monotonic and cyclic loads are presented. They reveal that the present redefined J-integral and ΔJ characterize the energy release at and the deformation energy dissipation in the vicinity of the crack front.