[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/sem.2015.54.1.069

Analytical and finite element solution of a receding contact problem

Adiyaman, Gokhan (Department of Civil Engineering, Karadeniz Technical University)
Yaylaci, Murat (Department of Civil Engineering, Recep Tayyip Erdogan University)
Birinci, Ahmet (Department of Civil Engineering, Karadeniz Technical University)

Publication Information

Structural Engineering and Mechanics / v.54, no.1, 2015 , pp. 69-85 More about this Journal

Abstract

In this paper, a receding contact problem for an elastic layer resting on two quarter planes is considered. The layer is pressed by a stamp and distributed loads. It is assumed that the contact surfaces are frictionless and only compressive traction can be transmitted through the contact surfaces. In addition the effect of body forces are neglected. Firstly, the problem is solved analytically based on theory of elasticity. In this solution, the problem is reduced into a system of singular integral equations in which contact areas and contact stresses are unknowns using boundary conditions and integral transform techniques. This system is solved numerically using Gauss-Jacobi integral formulation. Secondly, two dimensional finite element analysis of the problem is carried out using ANSYS. The dimensionless quantities for the contact areas and the contact pressures are calculated under various distributed load conditions using both solutions. It is concluded that the position and the magnitude of the distributed load have an important role on the contact area and contact pressure distribution between layer and quarter plane contact surface. The analytic results are verified by comparison with finite element results.

Keywords

receding contact; quarter plane; Gauss-Jacobi; finite element method; ANSYS;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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