 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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| A. M. Krivtsov and V. P. Myasnikov, "Modeling of the change of the internal structure and stress state in a material subjected to high thermal loads on the basis of the particle dynamics method," Mech. Solids. 40 (1), 72-85 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
1 |
Pages |
72-85 |
| Title |
Modeling of the change of the internal structure and stress state in a material subjected to high thermal loads on the basis of the particle dynamics method |
| Author(s) |
A. M. Krivtsov (St. Petersburg)
V. P. Myasnikov (Moscow) |
| Abstract |
Irreversible changes in the internal structure occur in materials subjected to
high-temperature loads. The description of such processes within the framework
of continuum mechanics meets significant difficulties. These difficulties
are associated with the fact that in the process of reconstruction of the
internal structure of the material, the basic concept of the continuum
mechanics - continuity of strains - is violated. In the
present study, the particle dynamics (molecular dynamics) method
is applied. This approach is essentially discrete and does not use the
assumption of continuity. The solution is considered for a two-dimensional
problem of change of the internal structure and appearance of the thermal
stresses in a material subjected to high thermal load which is not
uniform with respect to one of the spatial coordinates. As the initial
material, we use an ideal crystal of particles interacting in accordance with
the Lennard-Jones potential. It is shown that the characteristics of the
internal structure substantially depend on the rate of cooling of the
material. The effect of the character of the thermal load and defects of the
internal structure on the residual stresses in the material is analyzed. |
| References |
| 1. | V. A. Vinokurov, S. A. Kurkin, and G. A. Nikolaev. Welded
Structures: Fracture Mechanics and Operability Criteria [in Russian],
Mashinostroenie, Moscow, 1996. |
| 2. | V. P. Myasnikov and M. A. Guzev, "Geometrical model of the
structure of an elastoplastic continuum with defects," Zh. Prikl.
Mekhaniki i Tekhn. Fiziki, Vol. 40, No. 2, pp. 163-173, 1999. |
| 3. | V. P. Myasnikov and M. A. Guzev, "Geometrical model of internal
self-balanced stresses in solids," Doklady AN, Vol. 380, No. 5,
pp. 427-429, 2001. |
| 4. | R. W. Hockney and J. W. Eastwood, Computer Simulation Using Particles,
A. Hilger, N.J., 1988. |
| 5. | A. M. Krivtsov and N. V. Krivtsova, "The particle method and its
application in solid mechanics," Dal'nevostochnyi Matem. Zh., Vol. 3,
No. 2, pp. 254-276, 2002. |
| 6. | M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids,
Clarendon Press, Oxford, 1987. |
| 7. | Yu. K. Tovbin (Editor), Molecular Dynamics Method in Physical
Chemistry [in Russian],
Nauka, Moscow, 1996. |
| 8. | O. M. Belotserkovskii and Yu. M. Davydov, Particle-in-cell Method in Gas
Dynamics [in Russian], Nauka, Moscow, 1982. |
| 9. | A. M. Krivtsov and N. F. Morozov, "On the mechanical
characteristics of nano-scale objects," Fizika Tverdogo Tela, Vol. 44,
No. 12, pp. 2158-2163. |
| 10. | A. M. Krivtsov, "To the theory of media with microstructure," in
Trudy SPbGTU, No. 443, pp. 9-17, 1992. |
| 11. | A. M. Krivtsov, "Constitutive equations for the nonlinear crystal
lattice," ZAMM, Vol. 79, Sup. 2, pp. S419-S420, 1999. |
|
| Received |
13 October 2003 |
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