A new analytical generalization of the J and G-theta integrals for planar cracks in a three-dimensional medium

作者：El Kabir Soliman; Dubois Frederic; Pitti Rostand Moutou^*; Recho Naman; Lapusta Yuri

来源：Theoretical and Applied Fracture Mechanics, 2018, 94: 101-109.

DOI：10.1016/j.tafmec.2018.01.004

• Invariant integral
• Linear fracture mechanics
• Three-dimensional problems
• Energy release rate

This paper focuses on the theoretical and numerical development of the J-integral concept for three-dimensional problems. A new integral parameter, developed for the real three-dimensional case, computes the combined energy release rate for an arbitrary crack front. A path-independent integral is verified in both the static and crack propagation cases. Generalization of the J(3D)-integral toward its G(theta)(3D) implementation form is performed. The efficiency of this proposed integral is then compared with a number of J integrals available in the literature. Lastly, the paper offers a finite element implementation along with its numerical validation.

• 出版日期2018-4