Sudden Loading of an Elastic-Plastic Rod Interacting with the Environment
A. Begmatov, N. T. Mamatova
National University of Uzbekistan, Tashkent, 100174, Uzbekistan
Keywords: elastoplastic, dry friction, elastic and plastic waves, yield line
Abstract
The effect of external dry friction on the stress-strain state of a semi-infinite elastoplastic rod under sudden loading is under study. It is assumed that the behavior of the rod is described by the Prandtl model, and friction with the environment moving at a constant velocity occurs according to the Coulomb law with different values of the friction coefficient in the perturbed and unperturbed regions of the rod. Analytical solutions are obtained. The conditions under which the rod is an elastic body in a region (part of it) between the fronts of plastic and elastic waves are determined.
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