Abstract
In this paper, a functionally graded (FG) hollow cylinder with fully multiple longitudinal cracks is analyzed using the weight function method (WFM). The cylinder's inner surface is made of Al2O3, while the outer surface is made of TiC. The distribution of material properties is continuously due to the power-law function. The cracks placed in such a way to have identical angles relative to each other. At first, to extract the WF, the stress intensity factors (SIFs) are determined based on the reference loadings on the crack surface using two-dimensional finite element (FE) modelling, considering the effect of changing elasticity modulus and Poisson's ratio. Then, by fitting the curve to the results, the unknown coefficients of the WF are extracted as a function of four parameters, i.e., the crack relative depth, the non-homogeneity coefficient of FG material, the radius ratio of cylinder, and the number of cracks. The results obtained from WFM are compared to those in the literature and FE data in special cases of loading, confirming the high accuracy of the WF. Finally, a pressurized FG hollow cylinder is analyzed using WFM for various sets of parameters.
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