Abstract:
Due to the particular properties of the functionally graded material (FGM), it is difficult to avoid matrix operation and numerical integration during the calculation process of stress intensity factor. In this paper, by using the ratio of the crack tip stresses between FGM hollow cylinder and homogeneous hollow cylinder, the solution problem of the stress intensity factor of FGM hollow cylinder with external circumferential crack can be simplified to the extraction problem and the empirical formula calculation problem. Then, the stress intensity factor can be obtained conveniently by using the empirical formula of stress intensity factor of homogeneous hollow cylinder and the ratio of stresses between FGM hollow cylinder and homogeneous hollow cylinder. In this method, the complex matrix operation and numerical integration in traditional method can be successfully avoided by using only 2D model. In addition, the present method is applicable to all kinds of material combinations and structure geometries. The comparisons indicate that the calculation results coincide with the reference results. The simplicity and usefulness of the present method in engineering application are proved by given examples.