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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2009, Volume 50, Issue 5, Pages 169–175
(Mi pmtf1826)
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Dynamic deformation of an elastoviscoplastic hollow sphere
A. V. Krivochenkoa, A. N. Sporykhinb a 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.
Received: 24.03.2008 Accepted: 05.08.2008
Citation:
A. V. Krivochenko, A. N. Sporykhin, “Dynamic deformation of an elastoviscoplastic hollow sphere”, Prikl. Mekh. Tekh. Fiz., 50:5 (2009), 169–175; J. Appl. Mech. Tech. Phys., 50:5 (2009), 872–877
Linking options:
https://www.mathnet.ru/eng/pmtf1826 https://www.mathnet.ru/eng/pmtf/v50/i5/p169
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