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IssuesArchive of Issues2012-2pp.252-260

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V.S. Zarubin and G.N. Kuvyrkin, "Mathematical Models of Thermomechanics of a Relaxing Solid," Mech. Solids. 47 (2), 252-260 (2012)
Year 2012 Volume 47 Number 2 Pages 252-260
DOI 10.3103/S0025654412020124
Title Mathematical Models of Thermomechanics of a Relaxing Solid
Author(s) V.S. Zarubin (Bauman Moscow State Technical University, 2-ya Baumanskaya 5, Moscow, 105005 Russia, fn2@bmstu.ru)
G.N. Kuvyrkin (Bauman Moscow State Technical University, 2-ya Baumanskaya 5, Moscow, 105005 Russia, mes51@m1.bmstu.ru)
Abstract Mathematical models of thermomechanic processes based on the laws of rational thermodynamics of irreversible processes are considered. Specific characteristics of the continuum nonstationary behavior are shown in the framework of various models of a medium with internal state parameters.
Keywords thermomechanics, mathematical model, relaxation effect, internal state parameter, kinetic equations, phase transition, nanostructure material
References
1.  V. S. Zarubin and G. N. Kuvyrkin, Mathematical Models in Continuum Mechanics and Electrodynamics (Izd-vo MGTU im. Baumana, Moscow, 2008) [in Russian].
2.  V. S. Zarubin and G. N. Kuvyrkin, "A Thermomechanical Model of a Relaxing Solid Body Subjected to Time-Dependent Loading," Dokl. Ross. Akad. Nauk 345 (2), 193-195 (1995) [Dokl. Phys. (Engl. Transl.) 40 (11), 600-602 (1995)].
3.  V. S. Zarubin and G. N. Kuvyrkin, "Mathematical Modeling of Thermomechanical Processes under Intense Thermal Effect," Teplofiz. Vysokikh Temp. 41 (2), 300-309 (2003) [High Temp. (Engl. Transl.) 41 (2), 252-256 (2003)].
4.  V. S. Zarubin and G. N. Kuvyrkin, Mathematical Models of Thermomechanics (Fizmatlit, Moscow, 2002) [in Russian].
5.  L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics. Statistical Physics (Fizmatlit, Moscow, 2001) [in Russian].
6.  L. H. Van Vleck, Elements of Material Science and Engineering (Pearson Education, India, 1959; Atomizdat, Moscow, 1975).
7.  V. A. Likhachev, S. L. Kuz'min, and Z. P. Kamentseva, Shape Memory Effect (Izd-vo LGU, Leningrad, 1987) [in Russian].
8.  K. Otsuka, K. Simidzu, Yu. Sudzuki, et al., Alloys with Shape Memory Effect (Metallurgiya, Moscow, 1990) [in Russian].
9.  G. N. Kuvyrkin and I. S. Rodikova, "Thermomechanic Model of Behavior of Metals and Alloys in the Phase Transition Region," Vest. MGTU im. Baumana. Ser. Estestv. Nauki, No. 1, 65-76 (2006).
10.  G. N. Kuvyrkin and I. S. Rodikova, "Estimation of Thermomechanic Properties of Metals and Alloys in the Phase Transition Region," Vest. MGTU im. Baumana. Ser. Estestv. Nauki, No. 2, 31-44 (2006).
11.  R. A. Arutyunyan, "Possibilities of Sinenergetic Methods in Fracture Mechanics," in Contemporary Problems of Strength. Scientific Proc. of 5th Intern. V. A. Likhachev Seminar, Vol. 1 (Novgorod, 2001), pp. 332-337 [in Russian].
12.  R. A. Andrievskii and A. V. Rigulya, Nanostructure Materials (Izdat. Center "Akademiya", Moscow, 2005) [in Russian].
13.  A. I. Gusev, Nanomaterials, Nanostructures, Nanotechnologies (Fizmatlit, Moscow, 2005) [in Russian].
14.  M. J. Biercuk, M. C. Liaguno, M. Radosavljevic, et al., "Carbon Nanotube Composites for Thermal Management," Appl. Phys. Lett. 80 (15), 2767-2769 (2002).
15.  V. S. Zarubin, Applied Problems of Thermal Strength of Structural Elements (Mashinostroenie, Moscow, 1985) [in Russian].
Received 23 September 2009
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