The plane strain deformation for a crack in a functionally graded strip with arbitrary variations of material properties is studied by a newly formulated multilayered model. The governing equation in terms of Airy stress function is solved by means of Fourier transformation. The mixed boundary problem is reduced to a system of singular integral equations that are solved numerically to obtain the stress intensity factors at crack tips. The strain energy density criterion is employed to predict the direction of crack initiation. A numerical example is given to investigate the influence of crack sizes and graded material properties on the fracture behavior of functionally graded materials.
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