Dynamic deformation of an elastoviscoplastic hollow sphere

A. V. Krivochenko^a, A. N. Sporykhin<sup>b

a</sup> Voronezh State University, Voronezh, 394693, Russia
^b Staryi Oskol Department of the Voronezh State University, 309516 Старый Оскол

Abstract: The stress-strain state of a hollow sphere under time-dependent loading is studied using the constitutive relations for a hardening compressible elastoviscoplastic sold. Analytical solutions are obtained for displacement fields in the elastic and plastic regions. Time dependences of the reciprocal of the radius of the elastoplastic boundary are constructed, and the effect of the physicomechanical parameters on the radius of the elastoplastic boundary is determined.

Keywords: plasticity, viscosity, hardening, strain, loading function, compressibility, dilatancy.

UDC: 533.12

Received: 24.03.2008
Accepted: 05.08.2008

 English version: Journal of Applied Mechanics and Technical Physics, 2009, 50:5, 872–877

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