Frictional receding contact problem for a graded bilayer system indented by a rigid punch. (June 2018)

• Record Type: Journal Article
• Authors: Yilmaz, K.B.; Comez, I.; Yildirim, B.; Güler, M.A.; El-Borgi, Sami
• Is Part Of: International journal of mechanical sciences. Volume 141(2018)
• Page Start: 127
• Page End: 142
• Publication Date: 2018-06
• Subjects: Friction -- Sliding contact -- Singular integral equations -- Finite Element Method -- FGM; Mechanical engineering -- Periodicals; Génie mécanique -- Périodiques; Mechanical engineering; Maschinenbau; Mechanik; Zeitschrift; Periodicals; 621.05
• DOI: 10.1016/j.ijmecsci.2018.03.041
• Languages: English
• ISSNs: 0020-7403

Abstract

Highlights: Both analytical formulation and finite element analysis are used in the solution of the frictional receding contact problem. Agradation of the finite elements are realized at the centroid of each element in ANSYS APDLcode environment. The effect of coefficient of friction between the rigid punch and the upper layer is more pronounced than at the interface between layers. As the layers gets stiffer in the depth direction the magnitude of the contact pressures decrease and the resulting contact width increase. The stiffness mismatch at the interface causes the resulting contact pressure to increase and the contact widths to decrease. Graphical abstract: Abstract: The frictional receding contact problem for two graded layers pressed by a rigid punch is considered in this paper. The punch is subjected to both normal and tangential loads thereby resulting in frictional contact with the upper layer. It is also assumed that the contact between the layers is frictional and the lower layer is fixed. It is further assumed that the gradation in the layers follows an exponential variation through the thickness with different profiles while Poissons ratios are taken as constants. Using standard Fourier transform, the contact problem is converted to a system of two singular integral equations in which the contact pressures and the contact widths are the unknowns. The integral equations are then solved numerically using Gauss–Jacobi integration formula. The Finite Element Method was additionally employed and both exponential and power law material gradation is used to solve the investigated problem and the obtained numerical and analytical results are in good agreement. The primary intention of this paper is to investigate the effect of material gradation, friction coefficients, layers thicknesses and material property mismatch at the interface between the layers on the contact pressures and contact widths.