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Modelling adhesive contact problems involving a layered elastic solid and cylindrical indenter using Lennard Jones potential

Chong, WWF and Chidlow, SJ (2015) Modelling adhesive contact problems involving a layered elastic solid and cylindrical indenter using Lennard Jones potential. Mechanics of Materials, 84. pp. 1-11. ISSN 0167-6636

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This paper presents an iterative algorithm that solves for the displacement and sub-surface stresses induced within a layered elastic solid adhering to a rigid cylindrical indenter under lightly loaded conditions. The solid is assumed to comprise a functionally graded coating of finite thickness bonded to a homogeneous substrate of infinite extent and is assumed to be in a state of plane strain which allows a two-dimensional analysis to be performed. The Lennard–Jones potential is used to model the adhesive force acting between the indenter and solid whilst the effects of surface adhesion are characterised using Tabor’s parameter.
A selection of numerical results for the adhesive contact problem are presented which indicate that the maximum pressure and induced sub-surface stresses increase dramatically as Tabor’s parameter increases. It is also found that the shear modulus and thickness of the coating have a significant effect on material behaviour with harder coatings experiencing significantly larger tensile stresses but smaller surface displacement than softer coatings. The present investigation allows us to deduce that at smaller scales, surface adhesion can be instrumental in causing wear or potential material failure if coatings are improperly designed.

Item Type: Article
Uncontrolled Keywords: 0905 Civil Engineering, 0912 Materials Engineering, 0913 Mechanical Engineering
Subjects: Q Science > QA Mathematics
Divisions: Applied Mathematics (merged with Comp Sci 10 Aug 20)
Publisher: Elsevier BV
Related URLs:
Date Deposited: 05 Sep 2017 11:24
Last Modified: 18 May 2022 10:30
DOI or Identification number: 10.1016/j.mechmat.2015.01.006
URI: https://researchonline.ljmu.ac.uk/id/eprint/7046

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