Computation of Mixed Mode Stress Intensity Factors in 3D Functionally Graded Material Using Tetrahedral Finite Element

Abstract

In this paper, a formulation of interaction integral method for the calculation of Stress Intensity Factor (SIF) for three-dimensional cracks in functionally graded material (FGM) is discussed. The SIF evaluations were carried out using somewhat rough FEM model around the crack front while maintaining the path independent property of the interaction integral. The proposed method was examined on both homogeneous material and FGM, for the accuracies of evaluated SIFs under mode I and mixed mode loadings. The results indicate that the present interaction integral method maintain its path independent property.