On the analytical and finite element solution of plane contact problem of a rigid cylindrical punch sliding over a functionally graded orthotropic medium.pdfVIP

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On the analytical and finite element solution of plane contact problem of a rigid cylindrical punch sliding over a functionally graded orthotropic medium.pdf

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On the analytical and finite element solution of plane contact problem of a rigid cylindrical punch sliding over a functionally graded orthotropic medium.pdf

International Journal of Mechanical Sciences 120 (2017) 12–29 Contents lists available at ScienceDirect International Journal of Mechanical Sciences journal homepage: /locate/ijmecsci On the analytical and ?nite element solution of plane contact problem of a rigid cylindrical punch sliding over a functionally graded orthotropic medium M.A. Gülera,?, A. Kucuksucu, K.B. Yilmazb, B. Yildirimb a Department of Mechanical Engineering, TOBB University of Economics and Technology, 06560 Ankara, Turkey b Department of Mechanical Engineering, Hacettepe University, 06800 Ankara, Turkey MARK ARTICLE INFO Keywords: Contact mechanics Sliding contact Singular integral equations FGM Friction Finite element analysis ABSTRACT This study investigates the plane frictional contact problem of a cylindrical punch on a functionally graded orthotropic medium (FGOM). Both analytical and computational methods are developed to obtain the contact stresses. The elastic modulus is assumed to vary exponentially and the principal axes of orthotropy are assumed to be aligned with the global coordinates. In the analytical formulation, plane elasticity equations are converted to Cauchy-type singular integral equation of the second type by using Fourier Transform technique. The resulting integral equations are then solved numerically to obtain the contact stresses throughout the medium for plane stress condition. In the computational model, the elastic modulus of each ?nite element is speci?ed at its centroid by using the prede?ned functional variation. The results obtained from the ?nite element analysis is veri?ed by comparing the results obtained using the analytical formulation. The results of this study can guide tribology engineers in determining the contact stresses that have a great e?ect on the wear resistance of mating components. 1. Introduction Contact mechanics is a key subject in designing machine elements such as brakes, clutches, internal combustion engines, bush and ball bearings, hing