论文信息 - J-integral evaluation for cases involving non-proportional stressing

J-integral evaluation for cases involving non-proportional stressing

Abstract Calculation of J for cases where the proportional stressing condition cannot be satisfied is investigated. A modified J definition is derived and implemented into an ABAQUS post-processing program for both 2-D and axisymmetric problems. The modified J-integral is path independent for cases of proportional and non-proportional stressing. For cases with proportional stressing, the modified integral gives the same value as does the standard ABAQUS J function. It is also found that the modified J is equivalent to the stress intensity factor for a linear elastic material and provides a measure of the intensity of the crack-tip fields for non-linear elastic and elastic–plastic materials. The modified J formulation is applied to the case of a cylinder with an external circumferential crack under various load conditions.

Y. Lei | Y. Lei

[1] Brian Moran,et al. Crack tip and associated domain integrals from momentum and energy balance , 1987 .

[2] John W. Hutchinson,et al. Singular behaviour at the end of a tensile crack in a hardening material , 1968 .

[3] G. A. Webster,et al. Fracture mechanics analysis of a crack in a residual stress field , 2000 .

[4] J. Rice. A path-independent integral and the approximate analysis of strain , 1968 .

[5] J. Rice,et al. Plane strain deformation near a crack tip in a power-law hardening material , 1967 .

[6] Noel P. O’Dowd. Applications of two parameter approaches in elastic-plastic fracture mechanics , 1995 .

[7] W. K. Wilson,et al. The use of the J-integral in thermal stress crack problems , 1979, International Journal of Fracture.

[8] A. Needleman,et al. A COMPARISON OF METHODS FOR CALCULATING ENERGY RELEASE RATES , 1985 .

[9] Brian Moran,et al. Energy release rate along a three-dimensional crack front in a thermally stressed body , 1986, International Journal of Fracture.