Alternative systems of the dislocation density partial differential equation for the torsional stiffness of rods
S. N. Alekseenko1, S. N. Nagornyh2
| Annotation | On the base of the theory of elasticity, the equations governing a dynamics of the dislocation density for the torsional stiffness of rods is obtained. In is presented a basic scheme to apply the method of additional argument for solving a first-order nonlinear partial differential equation assigned within the framework of an approach under consideration to describe pseudoequilibrated dissipative structures. |
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| Keywords | dislocation density, diffusion unelasticity, nonlinear first-order partial differential equations, method of additional argument. |
1The professor of the applied mathematics chair, Nizhniy Novgorod State Technical University, Nizhniy Novgorod; sn-alekseenko@yandex.ru
2The senior lecture of the theoretical physics chair, Nizhniy Novgorod State Pedagogical University, Nizhniy Novgorod; algoritm@sandy.ru
Citation: S. N. Alekseenko, S. N. Nagornyh, "[Alternative systems of the dislocation density partial differential equation for the torsional stiffness of rods]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,13:1 (2011) 45–50 (In Russian)
