 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
|
| In English (Mech. Solids): | | 3212 |
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| I.Yu. Savelieva, "Influence of Medium Nonlocality on Distribution of Temperature and Stresses in Elastic Body under Pulsed Heating," Mech. Solids. 53 (3), 277-283 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
3 |
Pages |
277-283 |
| DOI |
10.3103/S0025654418070063 |
| Title |
Influence of Medium Nonlocality on Distribution of Temperature and Stresses in Elastic Body under Pulsed Heating |
| Author(s) |
I.Yu. Savelieva (Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5, str. 1, Moscow, 105005 Russia, inga.savelyeva@gmail.com) |
| Abstract |
An approach to constructing mathematical models of thermomechanical processes in a deformable body is considered by the rational thermodynamic relations of irreversible processes for a continuous medium with intrinsicstate parameters as well as the Eringen model for nonlocal theory of elasticity. The models take into account the effects of temporal and spatial nonlocality of a continuous medium. The temperature and stresses for the problem of pulsed heating in one-dimensional case are calculated. |
| Keywords |
thermomechanics, nonlocal deformation, thermal conductivity, dynamic stresses, pulsed 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. 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. | G. N. Kuvyrkin, A. V. Zhuravskii, and I. Yu. Savel'eva, "Mathematical Modeling of Chemical Vapor Deposition
of Material on a Curvilinear Surface" J. Engng Phys. Therm. 89 (6), 1374-1379 (2016). |
| 11. | V. S. Zarubin and G. N. Kuvyrkin, Mathematical Models of Continuum Mechanics and Electrodynamics
(Izdat. MGTU im. Baumana, Moscow, 2008) [in Russian]. |
| 12. | 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)]. |
| 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. | A. C. Eringen, Nonlocal Continuum Field Theories (Springer, New York-Berlin-Heidelberg, 2002). |
| 16. | 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). |
| 17. | C. Polizzotto, "Nonlocal Elasticity and Related Variational Principles," Int. J. Solids Struct. 38 (2), 7359-7380 (2001). |
| 18. | G. N. Kuvyrkin, and I. Y. Savelieva, "Thermomechanical Model of Nonlocal Deformation of a Solid," Izv. Akad.
Nauk. Mekh. Tverd. Tela, No. 3, 20-27 (2016) [Mech. Solids (Engl. Transl.) 51 (3), 256-262 (2016)]. |
|
| Received |
09 July 2016 |
| Link to Fulltext |
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