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Concentrated force underneath a punch bonded to a transversely isotropic half-space. (English) Zbl 0575.73118

This article examines the problem of the interaction between a loaded rigid circular punch bonded to the surface of a transversely isotropic elastic half-space and a concentrated force which acts at a point along the axis of symmetry. The axial displacement of the rigid punch is evaluated in an explicit form. The problem examined has applications in the analysis of an in situ technique used for the testing of geological media.

MSC:

74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
74E10 Anisotropy in solid mechanics
74G70 Stress concentrations, singularities in solid mechanics
74B99 Elastic materials
74H99 Dynamical problems in solid mechanics
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References:

[1] Galin, L. A., Contact Problems in the Theory of Elasticity (1961), North Carolina State University: North Carolina State University Raleigh, North Carolina · Zbl 0366.73056
[2] Ufiland, Y. S., Survey of Articles on the Application of Integral Transforms in the Theory of Elasticity (1965), North Carolina State University: North Carolina State University Raleigh, North Carolina
[3] Kalandia, A. I., Dokl. Akad. Nauk. SSSR., 21, 389 (1957)
[4] Kalker, J. J.; DePater, A. D., Sov. Appl. Mech., 7, 472 (1971)
[5] Kalker, J. J., Z. Angew. Math. Mech., 57, T3 (1977) · Zbl 0367.73026
[6] (DePater, A. D.; Kalker, J. J., The Mechanics of Contact Between Deformable Bodies. The Mechanics of Contact Between Deformable Bodies, Proceedings of IUTAM Symposium (1974), Delft University Press: Delft University Press Enschede)
[7] Gladwell, G. M.L., Contact Problems in the Classical Theory of Elasticity (1980), Sijthoff and Noordhoff: Sijthoff and Noordhoff Groningen · Zbl 0431.73094
[8] Selvadurai, A. P.S., Mech. Res. Commun., 5, 57 (1978) · Zbl 0379.73044
[9] Fabrikant, V. I., Mech. Solids, N6, 121 (1971)
[10] Shield, R. T., (Proc. Cambridge Philos. Soc., 47 (1951)), 401 · Zbl 0044.38902
[11] Ryzhik, I. M.; Gradshtein, I. S., Tables of Integrals, Series and Products (1965), Academic Press: Academic Press New York
[12] Fabrikant, V. I., Mech. Solids, 1, 22 (1975)
[13] Fabrikant, V. I., J. Appl. Math. Mech., 1, 147 (1971)
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