Two-dimensional frictionless contact of a coated half-plane based on couple stress theory

Song, H, Ke, L, Wang, Y, Yang, J and Jiang, H 2018, 'Two-dimensional frictionless contact of a coated half-plane based on couple stress theory', International Journal of Applied Mechanics, vol. 10, no. 5, pp. 1-28.


Document type: Journal Article
Collection: Journal Articles

Title Two-dimensional frictionless contact of a coated half-plane based on couple stress theory
Author(s) Song, H
Ke, L
Wang, Y
Yang, J
Jiang, H
Year 2018
Journal name International Journal of Applied Mechanics
Volume number 10
Issue number 5
Start page 1
End page 28
Total pages 28
Publisher Imperial College Press
Abstract Based on the couple stress theory, the size-dependent frictionless contact problem between a rigid punch and a homogeneous coated half-plane is investigated in this paper. This theory describes the size effect that emerges from the material microstructures by introducing the characteristic material length. With the aid of the Fourier transform method, the size-dependent contact problem of the rigid flat, cylindrical, parabolic and wedge punches is reduced to a Cauchy singular integral equation of the first kind. Subsequently, it is transformed into algebraic ones and solved numerically by using Gauss-Chebyshev integration formulas. Numerical results for the normal and in-plane contact stresses, contact width and indentation depth are given. The effect of the length scale parameters on the contact stress and indentation is predicted by the couple stress elasticity, which shows a strong dependence on the characteristic material length.
Subject Solid Mechanics
Tribology
Keyword(s) coating
Contact mechanics
couple stress elasticity
size effect
DOI - identifier 10.1142/S1758825118500497
Copyright notice © 2018 World Scientific Publishing Europe Ltd.
ISSN 1758-8251
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