Abstract
The plane elasticity solution is presented in this paper for the crack problem of a layered plate. A functionally graded interfacial region is assumed to exist as a distinct nonhomogeneous transitional layer with the exponentially varying elastic property between the dissimilar homogeneous surface layer and the substrate. The surface layer contains a crack perpendicular to the boundaries. The Fourier transform technique is used to formulate the problem in terms of a singular integral equation. The main results presented are the variations of stress intensity factors as functions of geometric and material parameters of the layered plate.
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Ueda, S. The surface crack problem for a layered plate with a functionally graded nonhomogeneous interface. International Journal of Fracture 110, 189–204 (2001). https://doi.org/10.1023/A:1010809805121
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DOI: https://doi.org/10.1023/A:1010809805121