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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2013, Volume 54, Issue 6, Pages 170–174
(Mi pmtf1130)
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Influence of dilatancy on the type of the system of equation in the plane problem of plasticity
V. A. Babakov, A. V. Shymanska Auckland University of Technology, Auckland, 1142, New Zealand
Abstract:
In the classical model of an ideal rigid–plastic material without hardening, the governing system of equations is a system of hyperbolic type, and, if hardening is taken into account, the type of the system of equations changes from hyperbolic to elliptical. In this case, the correlation between the experimentally observed strain localization lines and the characteristics of the quasilinear system is violated. It is shown that if dilatancy is taken into account, the system of equations remains hyperbolic.
Keywords:
dilatancy, hardening, quasilinear system, hyperbolic type, characteristics.
Received: 12.04.2013
Citation:
V. A. Babakov, A. V. Shymanska, “Influence of dilatancy on the type of the system of equation in the plane problem of plasticity”, Prikl. Mekh. Tekh. Fiz., 54:6 (2013), 170–174; J. Appl. Mech. Tech. Phys., 54:6 (2013), 1011–1015
Linking options:
https://www.mathnet.ru/eng/pmtf1130 https://www.mathnet.ru/eng/pmtf/v54/i6/p170
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Abstract page: | 18 | Full-text PDF : | 7 |
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