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http://dx.doi.org/10.9725/kts.2020.36.3.147

On the Slipping Phenomenon in Adhesive Complete Contact Problem  

Kim, Hyung-Kyu (Advanced 3D Printing Technology Development Division, Korea Atomic Energy Research Institute)
Publication Information
Tribology and Lubricants / v.36, no.3, 2020 , pp. 147-152 More about this Journal
Abstract
This paper is within the framework of an adhered complete contact problem wherein the contact between a half plane and sharp edged indenter, both of which are elastic in character, is constituted. The eigensolutions of the contact shear and normal stresses, σrq and σq, respectively, are evaluated via asymptotic analysis. The ratio of σrqqq is investigated and compared with the coefficient of friction, μ, of the contact surface to observe the propensity to slip on the contact surface. Interestingly, there exists a region of |σθθ| ≥ |μ|. Thus, slipping can occur, although the problem is solved under the condition of an adhered contact without slipping. Given that a tribological failure potentially occurs at the slipping region, it is important to determine the size of the slipping region. This aspect is also factored in the paper. A simple example of the adhered contact between two elastically dissimilar squares is considered. Finite element analysis is used to evaluate generalized stress intensity factors. Furthermore, it is repeatedly observed that slipping occurs on the contact surface although the size of it is extremely small compared with that of the contacting squares. Therefore, as a contribution to the field of contact mechanics, this problem must be further explained logically.
Keywords
adhesive complete contact; slipping behaviour; asymptotic analysis; generalized stress intensity factor; stress ratio;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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1 Hills, D. A., Nowell, D., Sackfield, A., Mechanics of Elastic Contacts, Chap. 4 & 5, pp.84, Butterworth-Heinemann Ltd., Oxford, UK, 1993.(ISBN 0-7506-0540-5)
2 Williams, M. L., "Stress Singularities resulting from Various Boundary Conditions in Angular Corners of Plates in Extension", J. Appl. Mech., Vol.19, pp.526-528, 1952.
3 Kim, H.-K., "Stress Singularity Behaviour in the Frictional Complete Contact Problem of Three Bodies", Tribol. Lubr., Vol.35, No.4, pp.229-236, 2019, https://doi.org/10.9725/kts. 2019.35.4.229
4 Barber, J., Contact Mechanics, Chapter 10, pp. 214-216, Springer, Dordrecht, Netherlands, 2018.(ISBN 978-3-319-70939-0)
5 Jang, J.-W., Kim, H. -K., Lee, S.-B., "Numerical and Experimental Investigation of a Complete Contact Problem by comparing with an Asymptotic analysis", Int. J. Solids Struct., 2016, http://dx.doi. org/10.1016/j.ijsolstr.2015.12.023
6 Kim, H.-K, Hills, D. A. Paynter, R. J. H., "Asymptotic Analysis of an Adhered Complete Contact between Elastically Dissimilar Materials", J. StrainAnaly., 2014, http://sdj.sagepub.com/content/49/8/607
7 Dundurs, J., "Discussion on edge bonded dissimilar orthogonal elastic wedges under normal and shear loading", J. Appl. Mech., Vol.36, pp.650-652, 1969.   DOI