Steady-state thermoelastic contact problem in a functionally graded material

Plane contact of a cylindrical punch and a half-space is considered in this article. Both the punch and the half-space are assumed to be functionally graded and thermally heat conducting. Frictional heat generation inside the contact region due to sliding of the punch over the half-space surface is taken into account. It is assumed that heat exchange between the free boundary of the half-space and the surrounding medium obeys Newton’s law, while the conditions for ideal thermal contact exists in the region in which the solids interact. Elastic parameters, thermal expansion coefficients and coefficients of thermal conductivities of the punch and the half-space are assumed to vary along the normal to the plane of contact. With the help of Fourier integral transforms, the problem is reduced to a system of three singular integral equations. The effects of non-homogeneity parameters of the graded materials on various subjects of interest are discussed and shown graphically.

Thermoelastic contact between a functionally graded elastic cylindrical punch and a half-space involving frictional heating

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Axially symmetric elasticity problems for the hollow cylinder with the stress-free ends. Analytical solving via a variational method of homogeneous solutions

This paper is concerned with the continuous contact problem of two transversely isotropic layers resting on a circular support. The external load is applied to the layers by a rigid cylindrical block. It is assumed that the contact between all surfaces is frictionless and body forces are not taken into account. The problem is formulated in terms of singular integral equations obtained from the continuous contact position. Equations are solved numerically by using the Gauss-Chebyshev integration method. Furthermore, numerical results as pressure distributions under the rigid cylindrical block are given for different material combinations.

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An axisymmetric contact problem for a bi-layered transversely isotropic slab resting on a rigid circular support

A contact problem for an infinitely long hollow cylinder is considered. The cylinder is compressed by an outer rigid ring with a circular profile. The material of the cylinder is linearly elastic and isotropic. The extent of the contact region and the pressure distribution are sought. Governing equations of the elasticity theory for the axisymmetric problem in cylindrical coordinates are solved by Fourier transforms and general expressions for the displacements are obtained. Using the boundary conditions, the formulation is reduced to a singular integral equation. This equation is solved by using the Gaussian quadrature. Then the pressure distribution on the contact region is determined. Numerical results for the contact pressure and the distance characterizing the contact area are given in graphical form.

Aysegul Bulu

Papers

Axisymmetric smooth contact for an elastic isotropic infinite hollow cylinder compressed by an outer rigid ring with circular profile