Contact Problem for Layered Medium Supported by a Wedge

Arcan Yanik*, Mehmet Bakioglu

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

Abstract

In this paper the plane contact problem for a layered medium supported by an elastic wedge is considered. A compressive load is applied to the top of the layered medium through a frictionless rigid punch. It is assumed that all contact areas are frictionless and only compressive normal tractions can be transmitted through the interfaces. Hence, the length of the contact region along the layers and layer-wedge interface is finite and are also unknown. The problem is formulated in terms of a system of singular integral equations in which the unknown functions are the pressure between layers in layered medium and between layered medium and the wedge. The analytical formulation of layered medium supported by wedge is given. As a numerical example, contact length and stress intensity factor at the tip of rails are calculated and the result are given by diagrams.

Original languageEnglish
Article number022002
JournalIOP Conference Series: Materials Science and Engineering
Volume603
Issue number2
DOIs
Publication statusPublished - 18 Sept 2019
Event4th World Multidisciplinary Civil Engineering-Architecture-Urban Planning Symposium, WMCAUS 2019 - Prague, Czech Republic
Duration: 17 Jun 201921 Jun 2019

Bibliographical note

Publisher Copyright:
© Published under licence by IOP Publishing Ltd.

Funding

Arcan Yanik would like to commemorate respectfully the late Professor Mehmet Bakioglu (1944-2015). He also gratefully acknowledges the support from Istanbul Technical University Research Fund No: MAB-2018-41640.

FundersFunder number
Istanbul Technical University Research FundMAB-2018-41640

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