Investigation of the effect of orthotropic parameters in failure of orthotropic materials under the rolling contact
Subject Areas : journal of New Materialshamed zakerhaghighi 1 , saeed adibnazari 2
1 - mechanical engineering department, science and research branch of Azad university
2 - professor, mechanical engineering department, science and research branch university
Keywords: orthotropic materials, rolling contact, contact stresses,
Abstract :
In this study the effect of orthotropic parameters on failure of the orthotropic materials under the rolling contact problem is investigated. Rolling contact problem between a rigid cylinder and an orthotropic half space for the specific regime of contact zone, a central stick zone accompanied with two slip zones, is considered in plane strain condition regarding the Coulomb law of friction.
Although the problem is analyzed using the previous methods obtained in our last paper, in this paper the main emphasis is on the results and the dependence of the surface and subsurface stresses on the orthotropic parameters and the coefficient of friction.
The interesting results from this study suggest that the stresses can be reduced by controlling of the orthotropic parameters and, as a result, increasing the life of the orthotropic media. Finally, it can be concluded that the replacement of orthotropic and non-homogeneous materials instead of isotropic and homogeneous materials will be caused in many applications to increase the life of the components and reduce the cost of consumables.
1- Bentall, R. and K. Johnson, Slip in the rolling contact of two dissimilar elastic rollers. International journal of mechanical sciences, 1967. 9(6): p. 389-404.
2- Kalker, J., A Minimum Principle for the Law of Dry Friction—Part 2: Application to Nonsteadily Rolling Elastic Cylinders. Journal of Applied Mechanics, 1971. 38(4): p. 881-887.
3- Nowell, D. and D. Hills, Tractive rolling of dissimilar elastic cylinders. International journal of mechanical sciences, 1988. 30(6): p. 427-439.
4- Nackenhorst, U., B. Zastrau, and J. Jarewski, Finite Element Modeling of 3D Elastic‐Elastic Rolling Contact. ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 2000. 80(S1): p. 57-60.
5- Bogacz, R., Dynamic analysis of rolling contact problem by the space-time element method. ZAMM. Z. Angew. Math. Mech, 2000. 80: p. s1.
6- Green, A.E., Zerna, W., Theoretical Elasticity. 1954, Oxford: Oxford University Press.
7- Lekhnitskii, S., et al., Theory of elasticity of an anisotropic elastic body. Physics Today, 1964. 17: p. 84.
8- Sveklo, V., Boussinesq type problems for the anisotropio half-space. Journal of Applied Mathematics and Mechanics, 1964. 28(5): p. 1099-1105.
9- Dahan, M. and J. Zarka, Elastic contact between a sphere and a semi infinite transversely isotropic body. International Journal of Solids and Structures, 1977. 13(3): p. 229-238.
10- Turner, J., Contact on a transversely isotropic half-space, or between two transversely isotropic bodies. International Journal of Solids and Structures, 1980. 16(5): p. 409-419.
11- Willis, J., Hertzian contact of anisotropic bodies. Journal of the Mechanics and Physics of Solids, 1966. 14(3): p. 163-176.
12- Chen, W., Stresses in some anisotropic materials due to indentation and sliding. International Journal of Solids and Structures, 1969. 5(3): p. 191-214.
13- Bakirtaş, İ., The contact problem of an orthotropic non-homogeneous elastic half space. International journal of engineering science, 1984. 22(4): p. 347-359.
14- Shi, D., Y. Lin, and T.C. Ovaert, Indentation of an orthotropic half-space by a rigid ellipsoidal indenter. Journal of tribology, 2003. 125(2): p. 223-231.
15- Swanson, S.R., Hertzian contact of orthotropic materials. International journal of solids and structures, 2004. 41(7): p. 1945-1959.
16- Erbaş, B., E. Yusufoğlu, and J. Kaplunov, A plane contact problem for an elastic orthotropic strip. Journal of Engineering Mathematics, 2011. 70(4): p. 399-409.
17- Zhou, Y.T. and K.Y. Lee, Exact solutions of the 2‐D frictional sliding contact problem of electrically insulated triangular and cylindrical punches on piezoelectric materials. ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 2013. 93(4): p. 217-232.
18- Rodriguez, N., M. Masen, and D. Schipper, A model for the contact behaviour of weakly orthotropic viscoelastic materials. International journal of mechanical sciences, 2013. 72: p. 75-79.
19- Guler, M.A., Closed-form solution of the two-dimensional sliding frictional contact problem for an orthotropic medium. International Journal of Mechanical Sciences, 2014. 87: p. 72-88.
20- Alinia, Y., et al., Rolling contact problem for an orthotropic medium. Acta Mechanica, 2016: p. 1-18.
21- Guler, M.A., S. Adibnazari, and Y. Alinia, Tractive rolling contact mechanics of graded coatings. International Journal of Solids and Structures, 2012. 49(6): p. 929-945.
22- Shabana, A.A., K.E. Zaazaa, and H. Sugiyama, Railroad vehicle dynamics: a computational approach. 2007: CRC press.
23- Guler, M., Y. Alinia, and S. Adibnazari, On the contact mechanics of a rolling cylinder on a graded coating. Part 2: numerical results. Mechanics of Materials, 2013. 66: p. 134-159.
24- King, R. and T. O'sullivan, Sliding contact stresses in a two-dimensional layered elastic half-space. International Journal of Solids and Structures, 1987. 23(5): p. 581-597.
25- Alinia, Y., et al., Sliding contact analysis of functionally graded coating/substrate system. Mechanics of Materials, 2016. 94: p. 142-155.
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