Frictional receding contact analysis of a layer on a half-plane subjected to semi-infinite surface pressure.pdfVIP

International Journal of Mechanical Sciences 108-109 (2016) 137–143 Contents lists available at ScienceDirect International Journal of Mechanical Sciences journal homepage: /locate/ijmecsci Frictional receding contact analysis of a layer on a half-plane subjected to semi-in?nite surface pressure K.S. Parel 1,n, D.A. Hills 1 Department of Engineering Science, University of Oxford, OX1 3PJ, United Kingdom article info Article history: Received 10 August 2015 Received in revised form 31 December 2015 Accepted 18 January 2016 Available online 4 February 2016 Keywords: Receding contacts Contact mechanics Distributed dislocations Linear elasticity abstract Though receding contacts occur in many engineering components, such as bolted joints, their properties are little understood. Previous studies have shown that the contact area in receding contacts reduces with the application of load and is load independent. Here an in?nitely long layer in contact with a halfplane of the same material and subject to semi-in?nite uniform normal surface pressure applied to the surface of the layer everywhere except along a portion of ?nite width is solved by applying distributions of edge dislocations. Solutions for the location of the areas of slip and separation along the contact interface are obtained for a variety of coef?cient of friction values and no-pressure zone widths. The contact tractions are also computed. 2016 Elsevier Ltd. All rights reserved. 1. Introduction While receding contacts are present in many mechanical components and structures, including bolted joints, their physical properties are not understood well, and the literature regarding them is sparse. A detailed understanding of the physical properties of receding contacts is required to model accurately the damping properties, fretting damage and subsequent failure of many mechanical and structural components that involve receding contacts. Keer et al. conducted some work on receding contacts in the 1970s [1,2]. Mo