Analysing the effects of sliding, adhesive contact on the deformation and stresses induced within a multi-layered elastic solid.pdfVIP

Analysing the effects of sliding, adhesive contact on the deformation and stresses induced within a multi-layered elastic solid.pdf

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Analysing the effects of sliding, adhesive contact on the deformation and stresses induced within a multi-layered elastic solid.pdf

Mechanics of Materials 101 (2016) 1–13 Contents lists available at ScienceDirect Mechanics of Materials journal homepage: /locate/mechmat Analysing the effects of sliding, adhesive contact on the deformation and stresses induced within a multi-layered elastic solid W.W.F. Chong a,b,c,?, S.J. Chidlow d a UTM Centre for Low Carbon Transport in Cooperation with Imperial College London, Universiti Teknologi Malaysia (UTM), Johor, Malaysia b Faculty of Mechanical Engineering, Universiti Teknologi Malaysia (UTM), Johor, Malaysia c National Centre for Advanced Tribology (nCATS), Faculty of Engineering and the Environment, University of Southampton, Southampton, United Kingdom d Department of Mechanical Engineering and Mathematical Sciences, Oxford Brookes University, United Kingdom article info Article history: Received 23 November 2015 Revised 14 May 2016 Available online 9 July 2016 Keywords: Lennard-Jones potential Layered solids Contact mechanics Surface adhesion Traction abstract This paper presents a mathematical model of sliding, adhering contact between a rigid parabolic indenter and a multi-layered elastic solid, which is assumed to comprise of a homogeneous coating bonded through a functionally-graded transitional layer to a homogeneous substrate. The adhesive forces in this investigation are modelled using Lennard-Jones potential and an iterative algorithm is proposed that solves for the contact pressure, surface displacement and sub-surface stresses resultant within the layered solid. The effects of surface adhesion and different material properties such as varying coating/transition layer thickness and coating hardness on the solution of the contact problem are subsequently investigated in detail. The numerical approach presented in this paper demonstrates the signi?cance of having a suitable mathematical representation for the traction distribution along the sliding, adhering contact. It is found that under weakly adhering conditions, the assumption of only C

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