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Numerical Analysis of Cracked Functionally Graded Materials

Abstract. A numerical crack analysis of two-dimensional functionally graded materials is performed by using a boundary integral equation method. Hypersingular traction boundary integral equations are applied for this purpose. An exponential law is used to approximate the Young’s modulus of the functionally graded materials, while their Poisson’s ratio is taken as constant. A Galerkin method is adopted for solving the hypersingular boundary integral equations. Numerical examples are presented to explore the effects of the material gradients and the crack orientation on the stress intensity factors.