Frictional Indentation of an Elastic Half-Space
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In this chapter, we study the axisymmetric indentation problem for a transversely isotropic elastic half-space with finite friction. By treating the indentation problem incrementally, its general solution is reduced to that of the problem for a flat-ended cylindrical indenter with an unknown stick-slip radius. The solution to the latter problem in the transversely isotropic case is obtained via Turner’s equivalence principle Turner (Int J Solids Struct 16:409–419, 1980 ), from the analytical solution given by Spence (J Elast 5:297–319, 1975 ) in the case of isotropy. The generalization, due to Storåkers and Elaguine (J Mech Phys Solids 53:1422–1447, 2005 ), of the BASh relation for incremental indentation stiffness, and also accounting for the friction effects, is presented. The case of self-similar contact with friction is considered in more detail.
- 3.Bulychev, S.I., Alekhin, V.P., Shorshorov, MKh, Ternovskii, A.P., Shnyrev, G.D.: Determination of young’s modulus according to indentation diagram. Ind. Lab. 41, 1409–1412 (1975)Google Scholar
- 6.Hills, D.A., Nowell, D., Sackfield, A.: Mechanics Of Elastic Contacts. Butterworth-Heineman, Oxford (1993)Google Scholar
- 13.Spence, D.A.: Similarity considerations for contact between dissimilar elastic bodies. In: Proceedings of the IUTAM Symposium on Mechanics of Contact, pp. 76–89. Delft University Press, Delft (1975)Google Scholar
- 14.Storåkers, B., Elaguine, D.J.: Hertz contact at finite friction and arbitrary profiles. J. Mech. Phys. Solids 53, 1422–1447 (2005)Google Scholar