| | Mechanics of Solids A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544 Online ISSN 1934-7936 |
Archive of Issues
Total articles in the database: | | 12854 |
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
In English (Mech. Solids): | | 4810 |
|
<< Previous article | Volume 51, Issue 3 / 2016 | Next article >> |
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, fn2@bmstu.ru)
I.Yu. Savelieva (Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5, Moscow, 105005 Russia, inga.savelyeva@gmail.com) |
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 |
References |
1. | R. A. Andrievskii and A. V. Ragulya,
Nanostructural Materials
(Akademiya, Moscow, 2005)
[in Russian]. |
2. | A. N. Gusev,
Nanomaterials, Nanostructures, and Nanotechnologies
(Fizmatlit, Moscow, 2005)
[in Russian]. |
3. | H. Kobayashi, Introduction to Nanotechnology
(BINOM, Moscow, 2005)
[in Russian]. |
4. | Ch. P. Poole Jr. and F. J. Owens,
Introduction to Nanotechnology
(Wiley, 2003; Tekhnosfera, Moscow, 2006). |
5. | R. W. Kelsall (Editor),
Nanoscale Science and Technology
(Wiley, 2005). |
6. | J. Peddieson, G. R. Buchanon, and R. P. McNitt,
"Application of Nonlocal Continuum Medium Models to Nanotechnology,"
Int. J. Engng Sci.
41, 305-312 (2003). |
7. | A. M. Krivtsov,
Deformation and Failure of Rigid Bodies with Microstructure
(Fizmatlit, Moscow, 2007)
[in Russian]. |
8. | I. A. Kunin, Theory of Elastic Media with Microstructure. Nonlocal Theory of Elasticity
(Nauka, Moscow, 1975)
[in Russian]. |
9. | M. Onemi, S. Iwasimidzu, K. Genka, et al.,
Introduction to Micromechanics
(Metallurgiya, Moscow, 1987)
[in Russian]. |
10. | V. S. Zarubin and G. N. Kuvyrkin, Mathematical Models of Continuum Mechanics and Electrodynamics
(Izdat. MGTU im. Baumana,
Moscow, 2008)
[in Russian]. |
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)]. |
16. | A. C. Eringen,
Nonlocal Continuum Field Theories
(Springer, New York-Berlin-Heidelberg, 2002). |
17. | A. A. Pisano and P. Fuschi,
"Closed Form Solution for a Nonlocal Elastic Bar in Tension [J],"
Int. J. Solids Struct.
40 (2), 13-23 (2003). |
18. | C. Polizzotto,
"Nonlocal Elasticity and Related Variational Principles,"
Int. J. Solids Struct.
38 (2), 7359-7380 (2001). |
|
Received |
11 January 2016 |
Link to Fulltext |
|
<< Previous article | Volume 51, Issue 3 / 2016 | Next article >> |
|
If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|