SUDDEN LOADING OF AN ELASTOPLASTIC ROD INTERACTING WITH THE ENVIRONMENT

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 t...

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Veröffentlicht in:	Journal of applied mechanics and technical physics 2022-02, Vol.63 (1), p.118-131
Hauptverfasser:	Begmatov, A., Mamatova, N. T.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Classical and Continuum Physics Classical Mechanics Coefficient of friction Dry friction Elastic bodies Elastic waves Elastoplasticity Exact solutions Fluid- and Aerodynamics Friction Mathematical Modeling and Industrial Mathematics Mechanical Engineering Physics Physics and Astronomy Wave fronts
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Beschreibung
Zusammenfassung:	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 plastic and elastic wave fronts are determined.
ISSN:	0021-8944 1573-8620
DOI:	10.1134/S0021894422010187