Closed-form solution of axisymmetric contact problem for a viscoelastic base within cycle of increasing and decreasing of load on the indenter
Source abstract
Abstract
The axisymmetric contact problem for a spherical indenter and viscoelastic base has been considered within a cycle of increasing and decreasing of load. The loading-unloading cycle has been performed at a constant speed of indenter movment. The quasi-static approximation has been used. The study has been carried out according to linear viscoelasticity theory, while the material model allows one to take into account an arbitrary number of relaxation times. The dependence of load on the indenter on time has been defined. Expressions for determining the unknown boundary of the contact area in the loading–unloading process has been given. The hysteretic loop area at different values of the material relaxation time has been analyzed. The applicability of the offered analytical model of elastomer indentation experiments data processing has been discussed.
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Research context
OpenAlex topics: Tribology and Wear Analysis · Adhesion, Friction, and Surface Interactions · Advanced machining processes and optimization
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (12)
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1. Lee, E.H. and Radok, J.R.M, The contact problem for viscoelastic bodies, J. Appl. Mech., 1960, vol. 27, pp. 438–444.10.1115/1.3644020 ↗
2. Hunter, S.C, The Hertz problem for a rigid spherical indenter and a viscoelastic half-space, J. Mech. Phys. Solids, 1960, vol. 8, pp. 219–234.10.1016/0022-5096(60)90028-4 ↗
3. Graham, G.A.C, The contact problem in the linear theory of viscoelasticity, Int. J. Eng. Sci., 1965, vol. 3, pp. 27–46.10.1016/0020-7225(65)90018-2 ↗
4. Cheng, Y.T. and Cheng, C.M, General relationship between contact stiffness, contact depth, and mechanical properties for indentation in linear viscoelastic solids using axisymmetric indenters of arbitrary profiles, Appl. Phys. Lett., 2006, vol. 13, no. 1, pp. 561–569.
5. Mattice, J.M., Lau, A.G., Oyen, M.L., and Kent, R.W, Spherical indentation load-relaxation of soft biological tissues, J. Mater. Res., 2006, no. 21, pp. 2003–2010.10.1557/jmr.2006.0243 ↗
6. Argatov, I. and Mishuris, G, An analytical solution for a linear viscoelastic layer loaded with a cylindrical punch: evaluation of the rebound indentation test with application for assessing viability of articular cartilage, Mech. Res. Commun., 2011, vol. 38, pp. 565–568.10.1016/j.mechrescom.2011.07.009 ↗
7. Argatov, I, An analytical solution of the rebound indentation problem for an iotropic linear viscoelastic layer loaded with a spherical punch, Acta Mech., 2012, vol. 223, pp. 1441–1453.10.1007/s00707-012-0668-2 ↗
8. Goryacheva, I.G., Gubenko, M.M., and Makhovskaya, Y.Y, Sliding of a spherical indenter on a viscoelastic foundation with the forces of molecular attraction taken into account, J. Appl. Mech. Tech. Phys., 2014, vol. 55, no. 1, pp. 81–88.10.1134/S0021894414010118 ↗
9. Goryacheva, I.G. and Shpenev, A.G, Modeling of a punch with a regular base relief sliding along a viscoelastic foundation with a liquid lubricant, J. Appl. Math. Mech., 2012, vol. 76, no. 5, pp. 582–589.10.1016/j.jappmathmech.2012.11.007 ↗
10. Lyubicheva, A.N. and Soldatenkov, I.A, On identification of the wear law of viscoelastic materials from the results of standard wear testing, J. Frict. Wear, 2011, vol. 32, no. 5, pp. 338–344.10.3103/S1068366611050060 ↗
11. Goryacheva, I.G. and Makhovskaya, Y.Y, Modeling of friction at different scale levels, Mech. Solids, 2010, vol. 45, no. 3, pp. 390–398.10.3103/S002565441003009X ↗
12. Soldatenkov, I.A, Calculation of the deformation component of the force of friction for a standard elastoviscous base, J. Frict. Wear, 2008, vol. 29, no. 1, p. 7.10.3103/S1068366608010029 ↗