Vol. 9, No. 3, 2014

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Solution of a receding contact problem using an analytical method and a finite element method

Erdal Öner, Murat Yaylacı and Ahmet Birinci

Vol. 9 (2014), No. 3, 333–345
Abstract

In this study, a receding contact problem for two elastic layers supported by a Winkler foundation is handled using two different methods such as an analytical method and a finite element method. Firstly, the problem is solved analytically using linear elasticity theory. Then, in order to solve the same problem in a different way, a finite element model of the problem is created by ANSYS software, and finite element analysis of the problem is performed. The contact stresses and the contact areas at the interfaces between punch–Layer 2 and Layer 1–Layer 2 are obtained for both solutions, and it is shown that the finite element method indicates a good agreement with the analytical method.

Keywords
finite element method, integral equation, receding contact, Winkler foundation
Milestones
Received: 6 March 2014
Revised: 21 July 2014
Accepted: 3 August 2014
Published: 4 October 2014
Authors
Erdal Öner
Department of Civil Engineering
Bayburt University
69000 Bayburt
Turkey
Murat Yaylacı
Department of Civil Engineering
Recep Tayyip Erdoğan University
53100 Rize
Turkey
Ahmet Birinci
Department of Civil Engineering
Karadeniz Technical University
61080 Trabzon
Turkey