Abstract
The static and dynamic anti-plane problem for a functionally graded coating–substrate structure containing a periodic array of parallel cracks, which are perpendicular to the boundary, is considered. Integral-transform techniques are employed to reduce the problem to the solution of an integral equation with hypersingular kernels. Numerical results are presented to show the influence of geometry, material properties and material gradient parameter on the fracture behavior.
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Chen, J. Anti-plane problem of periodic cracks in a functionally graded coating–substrate structure. Arch Appl Mech 75, 138–152 (2006). https://doi.org/10.1007/s00419-005-0425-2
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DOI: https://doi.org/10.1007/s00419-005-0425-2