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A Flat Asymptotic Frictionless Contact Subject to Normal Load and Bending Moment

Published online by Cambridge University Press:  21 October 2014

G.-Q. Shao ,
J. Hong ,
X.-J. Jiang ,
L.-B. Zhu ,
X. Chen  and
Y.-S. Zhu
G.-Q. Shao
Affiliation:
State Key Laboratory for Manufacturing System, Xi'an Jiaotong University, Xi'an, China
J. Hong*
Affiliation:
State Key Laboratory for Manufacturing System, Xi'an Jiaotong University, Xi'an, China
X.-J. Jiang
Affiliation:
State Key Laboratory for Manufacturing System, Xi'an Jiaotong University, Xi'an, China The 16th Institute of the Ninth Academy, China Aerospace Science and Technology Corporation, Xi'an, China
L.-B. Zhu
Affiliation:
State Key Laboratory for Manufacturing System, Xi'an Jiaotong University, Xi'an, China
X. Chen
Affiliation:
Department of Earth and Environmental Engineering, Columbia University, New York, USA
Y.-S. Zhu
Affiliation:
Key Laboratory of Education Ministry for Modern Design and Rotor-bearing System, Xi'an Jiaotong University, Xi'an, China
*
* Corresponding author ([email protected]
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Abstract

A calculation model is put forward to analyze the interfacial response of an elastic frictionless punch, pressed normally into a half-plane, and subject to bending moment throughout this paper to observe the important effect that different normal loads and bending moments on the contact pressure distribution and contact deformation. Results for the detailed considerations have been given to the specific different cases of ηc. A characteristic response of the punch to a surplus bending moment has been found. The small differences can be observed between both methods show characteristic features of the FEM model and the theoretical model. The presented numerical results illustrate the influences of the normal load and bending moment on the contact stresses. The results obtained can be used to analyze the crack nucleation in fretting when the punch is acted upon by the normal force and the bending moment.

Keywords

Asymptotic solutionComplete contactReceding contactTilted flat
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 2 , April 2015 , pp. 131 - 138
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

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References

1.Williams, M. L., “Stress Singularities Resulting from Various Boundary Conditions in Angular Corners of Plates in Extension,” Journal of Applied Mechanics, 19, pp. 526–528 (1952).Google Scholar
2.Dundurs, J. and Lee, M. S., “Stress Concentration at a Sharp Edge in Contact Problems,” Journal of Elasticity, 2, pp. 109–112 (1972).Google Scholar
3.Comninou, M., “Stress Singularity at a Sharp Edge in Contact Problems with Friction,” Journal of Applied Mathematics Physics (ZAMP), 27, pp. 493–499 (1976).CrossRefGoogle Scholar
4.Gdoutos, E. E. and Theocaris, P. S., “Stress Concentration at the Apex of a Plane Indenter Acting on an Elastic Half Plane,” Journal of Applied Mechanics, 42, pp. 688–692 (1975).CrossRefGoogle Scholar
5.Kuo, C. H. and Keer, L. M., “Contact Stress Analysis of a Layered Transversely Isotropic Half-Space,” Journal of Tribology, 114, pp. 253–62 (1992).Google Scholar
6.Lovell, M. and Morrow, C., “Three-Dimensional Contact Analysis of Anisotropic Coated Surfaces,” Tribology Transactions, 49, pp. 33–38 (2006).Google Scholar
7.Sackfield, A., Dini, D. and Hills, D. A., “The Finite and Semi-Infinite Tilted, Flat But Rounded Punch,” International Journal of Solids and Structures, 42, pp. 4988–5009 (2005).Google Scholar
8.Sackfield, A., Truman, C. E. and Hills, D. A., “The Tilted Punch Under Normal and Shear Load (with Application to Fretting Fatigue),” International Journal of Mechanical Sciences, 43, pp. 1881–1892 (2001).Google Scholar
9.Churchman, C. M., Sackfield, A. and Hills, D. A., “A Semi-Infinite Chamfered Contact Solution and its Application to Almost Complete Contacts,” International Journal of Solids and Structures, 43, pp. 7048–7060 (2006).Google Scholar
10.Bohorquez, L. and Dominguez, J., “Analysis of the Elastic Punch-Substrate Contact Under Fretting: Monotonic and Cyclic Loading of the Punch,” International Journal of Mechanical Sciences, 47, pp. 388–417 (2005).CrossRefGoogle Scholar
11.Bohorquez, L. and Dominguez, J., “Characterization of the Contact Between a Punch and a Half-Infinite Substrate in a Fretting Situation,” International Journal of Mechanical Sciences, 49, pp. 608–621 (2007).Google Scholar
12.Mugadu, A., Hills, D. A. and Limmer, L., “An Asymptotic Approach to Crack Initiation in Fretting Fatigue of Complete Contacts,” Journal of Mechanics and Physics of Solids, 50, pp. 531–547 (2002).CrossRefGoogle Scholar
13.Karuppanan, S. and Hills, D. A., “Frictional Complete Contacts Between Elastically Similar Bodies Subject to Normal and Shear Load,” International Journal of Solids and Structures, 45, 4662-4675 (2008).Google Scholar
14.Yang, Y. Y. and Munz, D., “Determination of the Regular Stress Term in a Dissimilar Materials Joint under Thermal Loading by the Mellin Transform,” Journal of Thermal Stresses, 17, pp. 321–336 (1994).Google Scholar
15.Yang, Y. Y. and Munz, D., “Stress Singularities in a Dissimilar Materials Joint with Edge Tractions Under Mechanical and Thermal Loading,” International Journal of Solids and Structures, 34, pp. 1199–1216 (1997).CrossRefGoogle Scholar
16.Urban, M. R., “Approximate Stresses in 2-D Flat Elastic Contact Fretting Problems,” International Journal of Fatigue, 21, pp. S167–S172 (1999).Google Scholar
17.Urban, M. R. and Jordan, E. H., “An Approximation Expression for Elastic Stresses in Flat Punch Problems,” Wear, 236, pp. 134–143 (1999).Google Scholar
18.Johnson, K. L., Contact Mechanics, Cambridge University Press, Cambridge, England (1985).Google Scholar
19.Gladwell, G. M. L., Contact Problems in the Classical Theory of Elasticity. Sijthoff & Noordhof Alphen aan den Rijn, the Netherlands (1980).Google Scholar
20.Rao, A. K., “Stress Concentration and Singularities at Interface Corners,” 12th International Congress of Applied Mechanics, pp. 395–406 (1968).Google Scholar
21.ANSYS Structural Analysis Guide Version 8.0, ANSYS Inc., Canonsburg, Pennsylvania (2004).Google Scholar