کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
512660 | 866420 | 2012 | 11 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Random dynamic response and reliability of a crack in a functionally graded material layer between two dissimilar elastic half-planes Random dynamic response and reliability of a crack in a functionally graded material layer between two dissimilar elastic half-planes](/preview/png/512660.png)
An analytical approach is presented for the random dynamic analysis of a functionally graded material (FGM) layer between two dissimilar elastic half-planes. This FGM layer contains a crack and its material properties vary randomly in the thickness direction, while their mean values are exponential functions of field position. The transient loadings applied on the crack faces are assumed to be stochastic processes of time. In order to obtain the solution, the FGM layer is divided into several sub-layers, and the material properties of each layer are reduced to random variables by an average method. A fundamental problem is constructed for the solution. Based on the use of Laplace and Fourier transforms, the boundary conditions are reduced to a set of singular integral equations, which can be solved by the Chebyshev polynomial expansions. Both stress intensity factor history with its statistics and dynamic reliability are analytically derived. Numerical calculations are provided to show the effects of related parameters.
Journal: Engineering Analysis with Boundary Elements - Volume 36, Issue 11, November 2012, Pages 1560–1570