The impact of a rigid sphere with an elastic layer of finite thickness. (English) Zbl 0869.73018
A ray series method is used to obtain an approximate solution to the axially-symmetric contact dynamic problem in which a rigid sphere hits a homogeneous isotropic linear elastic layer. The result generalizes that on the hitting of an elastic semi-space by a sphere obtained before by A. G. Gorshkov and D. V. Tarlakovsky [cf. Advances in Science and Technology of VINITI, Ser. Mech. of Deformable Solids 21, 76-131, Moscow, VINITI (1990)].
Reviewer: Józef Ignaczak (Warszawa)
References:
| [1] | Poruchikov, V. B.: The methods of the dynamic theory of elasticity. Moscow: Nauka 1986. |
| [2] | Filippov, I. G., Egorychev, O. A.: Transient vibrations and wave diffraction in acoustic and elastic media. Moscow: Mashinostroenie 1977. |
| [3] | Gorshkov, A. G., Tarlakovsky, D. V.: Dynamic contact problems for a deformable half-space. Advances in Science and Technology of VINITI, Ser. Mechanics of Deformable Solids21, pp. 76-131. Moscow: VINITI 1990. |
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| [5] | Zukas, J. A., Nicholas, T., Swift, H. F., Greszczuk, L. B., Curran, D. R.: Impact dynamics. New York: Wiley-Interscience 1982. |
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