Abstract
The unsteady dynamic problem of a massive strip-shaped punch placed on a semi-bounded medium is considered. The punch is rigidly attached to the support, which is a laminate made of layers rigidly attached to one another. The lowest layer is rigidly attached to a non-deformable foundation or half-space. The punch is subject to an arbitrary load, the time dependence of which is specified. The proposed efficient method of solving problems of this kind makes it possible to study in detail the dynamics of the punch for various physical and geometric parameters of the supporting medium. The behaviour of the punch in the presence of coupling (adhesion) is compared with the behaviour when there is no friction in the contact domain. Numerical examples are considered. This study of unsteady stationary contact problems is a continuation of [1, 2]. ‡ ‡ See also DOROKHOV I. V., PRYAKHINA A. D., and FREIGEIT M. R., The problem of time-dependent loads applied to a massive rigid punch on the surface of a multilayer support. Rostov-on-Don, 1992. Deposited at VINITI 10.07.92, No. 2266-B92.
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