Contact mechanics of graded materials: Analyses using singular integral equations

Contact stress distribution at an FGM surface is evaluated using an analytical technique based on the singular integral equations. An FGM half-plane is assumed to be in sliding contact with a rigid stamp of an arbitrary profile. The functionally graded medium is assumed to possess two-dimensional material property variations. Two independent nonhomogeneity constants are used to derive the governing partial differential equations. By using the integral transform techniques, all boundary conditions are satisfied analytically and the problem is reduced to a singular integral equation. The integral equation is solved numerically by adopting an expansion-collocation scheme. Presented numerical results consist of contact pressure distributions at the FGM surface as functions of nonhomogenity parameters and coefficient of friction.


Sliding frictional contact between a rigid punch and a laterally graded elastic medium
Dağ, Serkan; Yidirim, Bora; Ozatag, A. Cihan (2009-11-01)
Analytical and computational methods are developed for contact mechanics analysis of functionally graded materials (FGMs) that possess elastic gradation in the lateral direction. In the analytical formulation, the problem of a laterally graded half-plane in sliding frictional contact with a rigid punch of an arbitrary profile is considered. The governing partial differential equations and the boundary conditions of the problem are satisfied through the use of Fourier transformation. The problem is then redu...
Thermal fracture analysis of orthotropic functionally graded materials using an equivalent domain integral approach
Dağ, Serkan (2006-12-01)
A new computational method based on the equivalent domain integral (EDI) is developed for mode I fracture analysis of orthotropic functionally graded materials (FGMs) subjected to thermal stresses. By using the constitutive relations of plane orthotropic thermoelasticity, generalized definition of the J-integral is converted to an equivalent domain integral to calculate the thermal stress intensity factor. In the formulation of the EDI approach, all the required thermomechanical properties are assumed to ha...
Consideration of spatial variation of the friction coefficient in contact mechanics analysis of laterally graded materials
Dağ, Serkan (2016-01-01)
This paper presents a new analytical approach for sliding contact analysis of laterally graded materials, which allows taking into account the spatial variation of the friction coefficient. The method is developed by considering a sliding frictional contact problem between a laterally graded elastic medium and a rigid flat punch. Governing partial differential equations entailing the displacement components are derived in accordance with the theory of plane elasticity. General solutions are determined and b...
Nonlinear Vibrations of a Functionally Graded Material Microbeam with Geometric Nonlinearity
Uz, Canan; Ciğeroğlu, Ender (2017-02-02)
In this paper, nonlinear vibration analysis of micro scale functionally graded material (FGM) beams with geometric nonlinearity due to large deflection is studied using modified couple stress theory (MCST). MCST is a nonlocal elasticity theory which includes a material length scale parameter since the size of an atomic microstructure becomes comparable to the length of the microbeam. Equations of motion of the micro scale FGM beam are obtained by using Hamilton's principle. Nonlinear free vibrations of the ...
Contact mechanics of graded orthotropic coatings
Arslan, Onur; Aksel, Mehmet Haluk; Dağ, Serkan; Department of Mechanical Engineering (2015)
Analytic and computational studies are performed for contact problems of orthotropic functionally graded material (FGM) coatings which are bonded to isotropic homogeneous substrates without any interfacial defects. The orthotropic FGM coatings possess orhotrophic stiffness gradations through the coating thickness direction. The variations of each orthotropic stiffness constants are assumed to behave as exponential functions. In the analytical procedure, the problems of orthotropic graded coatings which are ...
Citation Formats
S. Dağ, “Contact mechanics of graded materials: Analyses using singular integral equations,” 2006, vol. 973, Accessed: 00, 2020. [Online]. Available: