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Numerical analysis of frictional contact in the presence of a surface crack in a functionally graded coating substrate system.pdf

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Numerical analysis of frictional contact in the presence of a surface crack in a functionally graded coating substrate system.pdf

International Journal of Mechanical Sciences 117 (2016) 286–298 Contents lists available at ScienceDirect International Journal of Mechanical Sciences journal homepage: /locate/ijmecsci Numerical analysis of frictional contact in the presence of a surface crack in a functionally graded coating substrate system Ali Talezadehlari a, Ali Nikbakht b,n, Mojtaba Sadighi a, Andrea Zucchelli c a Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran b New Technologies Research Center (NTRC), Amirkabir University of Technology, Tehran, Iran c Department of Industrial Engineering (DIN), University of Bologna, Bologna, Italy article info Article history: Received 31 March 2016 Received in revised form 13 August 2016 Accepted 27 August 2016 Available online 29 August 2016 Keywords: Contact mechanics Fracture mechanics Material science Numerical analysis Elasticity abstract In this paper, the frictional two-dimensional contact in the presence of a surface crack in a functionally graded coating substrate system is studied for rigid circular and ?at stamps. A computational method based on ?nite difference (FD) is developed to evaluate the contact stresses and also the fracture parameters, which are KI and KII due to mixed mode fracture. The FD method applied here, uses a mapping technique which enable the analysis to consider any geometry of the punch and the crack. The Coulombs dry friction law is considered in the contact area. The advantage of this study, compared to the efforts done by other researchers, is the ability to analysis a system with any arbitrary material properties distribution. Here, the elastic material properties distribution is estimated by TTO model which takes into account the interaction between the constituting phases as well, and the Poissons ratio is assumed to be constant. The effect of material nonhomogeneity, the interaction of the constituting phases, the thickness of the graded coating layer, the size of the punch and