Analytical Solution for Sliding Rounded-Edge Contact
Source abstract
Abstract
Reliable analysis of the local stress fields in the vicinity of sliding frictional contacts of engineering components is a pre-requisite for the reliable assessment of structural integrity. In this paper we present the use of Muskhelishvili potentials to derive an analytical solution for a semi-infinite punch with a rounded edge pressed against a half-pane substrate, and a general numerical solution for a kind of Cauchy integral involved in the analytical contact solution. Using these solutions, the effect of the friction coefficient on the normal traction distribution is investigated. Numerical results show that the peak normal traction value is altered in comparison with the frictionless case solution, but this variation is mild (less than 5%), provided the friction coefficient does not exceed about 0.6. Finally, the adaptation of the analytical result to the solution of practical contact problems is addressed.
Source: expertdata · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Mechanical stress and fatigue analysis · Adhesion, Friction, and Surface Interactions · Gear and Bearing Dynamics Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (10)
Show source-provided references
1. F. Erdogan, G.D. Gupta and T.S. Cook, Numerical solution of singular integral equation. In: G.C. Sih (ed.). Methods of Analysis and Solutions of Crack Problems. Noordhoff, Groningen (1973) pp. 368–425.10.1007/978-94-017-2260-5_7 ↗
2. G.M.L. Gladwell, Contact Problems in the Classical Theory of Elasticity. Sijtoff and Noordhoff, MD, USA (1980).10.1007/978-94-009-9127-9 ↗
3. D.A. Hills and D. Nowell, Mechanics of Fretting Fatigue. Kluwer Academic Publishers, Netherlands (1996).
4. D.A. Hills, D. Nowell and A. Sackfield, Mechanics of Elastic Contacts. Butterworth-Heinemann Ltd, Oxford (1993).
5. S. Krenk, On the use of the interpolation polynomial for solutions of singular integral equations. Quart. Appl. Math. 32 (1975) 479–484.10.1090/qam/474919 ↗
6. A. Mugadu, D.A. Hills, J.R. Barber and A. Sackfield, The application of asymptotic solutions to characterising the process zone in almost complete frictional contacts. Int. J. Solids Struct. 41 (2004) 385–397.10.1016/j.ijsolstr.2003.09.038 ↗
7. N.I. Muskhelishvili, Some Problems of Mathematical Theory of Elasticity. Moscow (1949).
8. N.I. Muskhelishvili, Singular Integral Equations. Noordhoff, Groningen, (1953).
9. A.I. Nadai, In Theory of Flow and Fracture of Solids, Vol. 2. McGraw-Hill, New York (1963).
10. A. Sackfield, A. Mugadu, J.R. Barber and D.A. Hills, The application of asymptotic solutions to characterizing the process zone in almost complete frictionless contacts. J. Mech. Phys. Solids 51 (2003) 1333–1346.10.1016/S0022-5096(03)00020-6 ↗