Thue problem considered in this article is the response of a graded composite material plate containing some nonclinear cracks subjected to dynamic thermal loading. It is assumed that all the material properties depend only on the coordinates y (along the thickness direction). In the analysis, graded regions are treated as a series fo perfectly bonded composite layers, each layer being assigned slightly different material properties. Utilizing the Laplace trnasorm and Fourier transform techniques, the general solution for each layer is derived.
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