Modified Contour Integrals for Calculation of Stress Intensity Factors for Cracks in Anisotropic FGMs
A numerical method is proposed for calculation of the mixed-mode stress intensity factors at a crack tip in anisotropic functionally graded materials. The method is constructed by developing a pair of modified contour integrals, along with closed form expressions that relate these integrals and the SIFs. Neither a-priori information nor extra auxiliary solutions corresponding to the singular behavior is required for the calculation and so the proposed scheme is applicable for curve cracks of arbitrary shapes in generally anisotropic FGMs.
Bale V. Reddy, Shishir Kumar Sahu, A. Kandasamy and Manuel de La Sen
J. H. Chang and J. Y. Jiang, "Modified Contour Integrals for Calculation of Stress Intensity Factors for Cracks in Anisotropic FGMs", Applied Mechanics and Materials, Vol. 627, pp. 129-133, 2014