Random dynamic response of a crack in a functionally graded materials layer for plane problem
Dynamic analysis is performed for a crack in a functionally graded materials layer for plane problem.A stochastic model is established for plane problem in that the material properties of the functionally graded materials layer vary randomly in the thickness direction,and the cracks are parallel to the materials faces.A pair of dynamic loadings applied on the crack faces are treated as stationary stochastic processes of time.By dividing the functionally graded materials layer into several sub-layers,this problem is reduced to the analysis of laminated composites containing a crack,the material properties of each layer being random variables.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.The stress intensity factor history with its statistics is analytically derived.Numerical calculations are provided to show the effects of related parameters.
Functionally graded materials crack dynamic stochastic the stress intensity factor
Zhang Huizhan Zhang Jiazhen Zhou Zhengong
Beijing Aeronautical Science & Technology Research Institute of COMAC, Beijing 102211, China; Center Beijing Aeronautical Science & Technology Research Institute of COMAC, Beijing 102211, China Center for Composite materials, Harbin Institute of Technology, Harbin 150001, China
国际会议
上海
英文
67-67
2012-10-19（万方平台首次上网日期，不代表论文的发表时间）