Numerical study of wave propagation in nonlinear dissipative material

Yu. M. Volchkov^ab, I. O. Bogulskii<sup>cd

a</sup> Novosibirsk State University, 630090, Novosibirsk, Russia
^b Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, 630090, Novosibirsk, Russia
^c Siberian Federal University, 660041, Krasnoyarsk, Russia
^d Krasnoyarsk State Agricultural University, 660049, Krasnoyarsk, Russia

Abstract: We have investigated a class of materials whose experimental stress–strain behavior does not allow them to be considered plastic or elastic. They are not elastic since unloading occurs along a curve significantly different from the loading curve; nor are they plastic since in a full loading–unloading cycle, residual deformations are absent. As such materials we investigate so-called metal rubbers – materials made from twisted wire pressed into an almost homogeneous body. The propagation of shock waves in these materials is studied using a one-dimensional model.

Keywords: metal rubber, damping, numerical modeling, nonlinear elasticity, deformation theory.

UDC: 539.2

Received: 30.04.2021
Revised: 30.04.2021
Accepted: 31.05.2021

DOI: 10.15372/PMTF20210512

 English version: Journal of Applied Mechanics and Technical Physics, 2021, 62:5, 801–805

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