Abstract
Mode III fracture is considered in a two-dimensional functionally graded material with an internal crack. The material properties are assumed to vary linearly along two planar directions. The problem has been analyzed via two different methods. Primarily, the governing partial differential equations are derived, and using the method of separating variables and Hankel transforms, the equations are solved. Then, finite element technique is employed to analyze the problem. The effects of material non-homogeneity on the value of stress intensity factor are studied. Finally, the obtained stress intensity factors, calculated by two different methods, are compared.
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