Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
in January 1966
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Print ISSN 0025-6544
Online ISSN 1934-7936

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IssuesArchive of Issues2016-3pp.256-262

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Total articles in the database: 11223
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G.N. Kuvyrkin and I.Yu. Savelieva, "Thermomechanical Model of Nonlocal Deformation of a Solid," Mech. Solids. 51 (3), 256-262 (2016)
Year 2016 Volume 51 Number 3 Pages 256-262
DOI 10.3103/S002565441603002X
Title Thermomechanical Model of Nonlocal Deformation of a Solid
Author(s) G.N. Kuvyrkin (Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5, Moscow, 105005 Russia,
I.Yu. Savelieva (Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5, Moscow, 105005 Russia,
Abstract We use relations of rational thermodynamics of irreversible processes for a continuous medium with intrinsic state parameters and Eringen's model of nonlocal theory of elasticity to study the approach to the construction of mathematical models of thermomechanical processes in a deformable body with regard to the effects of temporal and spatial nonlocality of the continuous medium.
Keywords thermomechanics, nonlocal deformation, heat conduction, intrinsic state parameter, surface heating
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11.  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 Tempr. (Engl. Transl.) 41 (2), 257-265 (2003)].
12.  V. S. Zarubin and G. N. Kuvyrkin, Mathematical Models of Thermomechanics (Fizmatlit, Moscow, 2002) [in Russian].
13.  V. S. Zarubin, G. N. Kuvyrkin, and I. Yu. Savelieva, "Mathematical Model of a Nonlocal Medium with Internal State Parameters," Inzh.-Fiz. Zh. 86 (4), 768-773 (2013) [J. Engng Phys. Thermophys. (Engl. Transl.) 86 (4), 820-826 (2013)].
14.  G. N. Kuvyrkin and I. Yu. Savelieva, "Mathematical Model of Heat Conduction of New Structural Materials," Vestnik MGTU im. Baumana. Ser. Estestv. Nauki, No. 3, 72-85 (2010).
15.  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)].
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18.  C. Polizzotto, "Nonlocal Elasticity and Related Variational Principles," Int. J. Solids Struct. 38 (2), 7359-7380 (2001).
Received 11 January 2016
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