 | | 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.G. Bagdoev and V.N. Kukudzhanov, "Kinematic Nonlinear Wave Approaches to Describing Stochastic Processes in Semiconductors, Traffic, and Micropore Motion in Fracture Mechanics," Mech. Solids. 48 (4), 450-457 (2013) |
| Year |
2013 |
Volume |
48 |
Number |
4 |
Pages |
450-457 |
| DOI |
10.3103/S0025654413040134 |
| Title |
Kinematic Nonlinear Wave Approaches to Describing Stochastic Processes in Semiconductors, Traffic, and Micropore Motion in Fracture Mechanics |
| Author(s) |
A.G. Bagdoev (Institute of Mechanics, National Academy of Sciences of the Republic of Armenia, pr-t Marshala Bagramyana 24B, Erevan, 375019 Republic of Armenia)
V.N. Kukudzhanov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, kukudz@ipmnet.ru) |
| Abstract |
Kinematic nonlinear wave models supplemented with empirical dependencies between the basic variables are used to study stochastic spatial phase transition processes in the case of Gunn instability in semiconductors, in traffic with collapses at crossroads, and in micropore motion with macrorupture formation. All these processes have a common mechanism and are similar in the case of the same dependence between the constitutive variables characterizing these physically different processes. |
| Keywords |
kinematic nonlinear waves, catastrophic phase transitions, Gunn instability in semiconductors, traffic problem, fracture, damage with phase transitions in mechanics, similarity |
| References |
| 1. | H. Haken,
Synergetics: An Introduction
(Springer, New York, 1978; Mir, Moscow, 1980). |
| 2. | A. G. Bagdoev and Yu. S. Safaryan,
in Problems of Mechanics of Deformable Body.
Collection of Papers Dedicated to Academician of NAS Armenia S. A. Ambartsumyan
on the Occasion of His 90th Birth Day
(Erevan, 2012),
pp. 101-120. |
| 3. | K. Nakamura,
"Statistical Dynamics of the Gunn Instability near Threshold,"
J. Phys. Soc. Japan
38 (1), 46-50 (1975). |
| 4. | M. J. Lighthill and G. B. Whitham,
"On Kinematic Waves. II. A Theory of Traffic Flow on Long Crowded Roads,"
Proc. Roy. Soc. London. Ser. A
229 (1178), 317-345 (1955). |
| 5. | V. N. Kukudzhanov,
Computer Simulation of Deformation, Damage, and Fracture of Nonelastic Materials and Structures, Teaching manual
(MFTI, Moscow, 2008)
[in Russian]. |
| 6. | L. R. Botvina,
Kinetics of Fracture of Structural Materials
(Nauka, Moscow, 1989)
[in Russian]. |
| 7. | A. G. Bagdoev, G. Manukyan, and Yu. S. Safaryan,
Study of Point and Spatial Processes by Methods of Wave Dynamics:
Investigation of Linear and Nonlinear Processes
(LAP Lambert Academic Publishing, 2012). |
| 8. | A. G. Bagdoev,
"Actual Problems of Continuum Mechanics".
Proc. Intern. Conf. Dedicated to Academician N. Kh. Aratyunyan
on the Occasion of His 100th Birth Day
(2012),
pp. 109-112. |
| 9. | A. G. Bagdoev, V. I. Erofeev, and A. V. Shekoyan,
Linear and Nonlinear Waves in Dispersive Continua
(Fizmatlit, Moscow, 2009)
[in Russian]. |
| 10. | V. I. Arnold,
Catastrophe Theory
(Nauka, Moscow, 1990)
[in Russian]. |
| 11. | V. N. Kukudzhanov,
"Micromechanical Model of Fracture of an Inelastic Material
and Its Application to the Investigation of Strain Localization,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 5, 72-87 (1999)
[Mech. Solids (Engl. Transl.)
34 (5), 58-69 (1999)]. |
| 12. | A. L. Gurson,
"Continuum Theory of Ductile Rupture by Void Nucleation and Growth.
Part I - Yield Criteria and Flow Rules for Porous Ductile Media,"
Trans. ASME. J. Engng Mater. Tech.
99 (1), 2-15 (1977). |
|
| Received |
04 March 2013 |
| Link to Fulltext |
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