 | | 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
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| In English (Mech. Solids): | | 4760 |
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| K. V. Kukudzhanov, "Propagation of one-dimensional elastoviscoplastic waves in composite materials," Mech. Solids. 42 (1), 140-148 (2007) |
| Year |
2007 |
Volume |
42 |
Number |
1 |
Pages |
140-148 |
| Title |
Propagation of one-dimensional elastoviscoplastic waves in composite materials |
| Author(s) |
K. V. Kukudzhanov (Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia, kukudz@ipmnet.ru) |
| Abstract |
We consider the problems of propagation of elastic and elastoviscoplastic waves in laminated and fiber composites on the basis of the two-velocity model proposed in [1]. We study plane waves propagating parallel to the fibers and waves propagating in the perpendicular direction. We compare our solutions with the experimental results presented in the literature [2, 3] for several specific composites (carbon-filled plastics, boron plastics, and wolfram fibers in aluminum matrix). The coincidence between the theoretical results and experimental data is shown to be good.
To understand the typical features of propagation of nonstationary waves in composites, we solved several one-dimensional problems about the propagation of both elastic and elastoviscoplastic waves in laminated and fiber composites. We compare the solutions obtained using the one-velocity and two-velocity models [1, 4] with the results of experiments and the results obtained in the literature using different models, which permits estimating the accuracy of both models and the numerical method in question. We use the numerical method of characteristics to improve the accuracy of calculations in the solution of the resulting systems of hyperbolic equations. |
| References |
| 1. | K. V. Kukudzhanov,
"Two-Velocity Problem of Elastoviscoplastic Strain of Composite Materials,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 5, 74-86 (2001)
[Mech. Solids (Engl. Transl.)]. |
| 2. | D. S. Drumheller and H. J. Sutherland,
"Lattice Model of a Composite Material for the Investigation
of Stress Waves Propagation," ASME, J. Appl. Mech.
40 (1), 157-164 (1973). |
| 3. | Wittmer and Pieck,
"Experimental Study of Dispersive Pulse Propagation
in Laminated Materials and Comparison of the Results
with the Theory,"
ASME, J. Appl. Mech.,
No. 3, 108-115 (1969). |
| 4. | K. V. Kukudzhanov,
"Dynamical Strain and Failure of Nonelastic Laminated Composites,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 4, 87-98 (1997)
[Mech. Solids (Engl. Transl.)]. |
| 5. | A. Bedford and M. Stern,
"Multi-Continuum Theory for Composite Elastic Materials,"
Acta Mech.
14 (2/3), 85-102 (1972). |
| 6. | H. D. McNiven and Y. Mengi,
"A Mathematical Model for the Linear Dynamic Behavior of Two Phase
Periodic Materials,"
Intern. J. Solids Structure
15 (4), 271-280 (1979). |
| 7. | H. F. Tiersten and M. Jahanmir,
"A Theory of Composites Modeled as Interpretating Solid Continuum,"
Arch. Rat. Mech. Analysis
65 (2), 153-192 (1977). |
| 8. | G. A. Heigemier, G. A. Gurtman, and A. H. Hayfeh,
"A Continuum Mixture Theory of Wave Propagation in Laminated and Fiber
Reinforced Composites,"
Intern. J. Solids Structure
9 (3), 395-414 (1973). |
| 9. | G. A. Heigemier and A. H. Hayfeh,
"Continual Theory of Wave Propagation in Laminated Composite
Materials. I. Wave Propagation Transverse to Layers,
Proc. Amaer. Soc. Eng. Mech., Appl. Math.
40 (2), 189-197 (1973). |
| 10. | M. Stern and A. Bedford,
"Wave Propagation in Elastic Laminates Using Multi-Continuum Theory,"
Acta Mech.
15 (1), 21-38 (1972). |
| 11. | H. D. McNiven and Y. Mengi,
"A Mixed Theory for Elastic Laminated Composites,"
Intern. J. Solids Structure
15 (4), 281-302 (1979). |
| 12. | H. D. McNiven and Y. Mengi,
"Propagation of Transient Waves in Elastic Laminated Composites,"
Intern. J. Solids Structure
15 (4), 303-318 (1979). |
| 13. | G. A. Heigemier and G. A. Gurtman,
"Finite-Amplitude Elastic-Plastic Wave Propagation in Fiber Reinforced Composites,"
Intern. J. Appl. Phys.
45 (10), 4254-4261 (1974). |
| 14. | K. V. Kukudzhanov,
"Investigation of Dispersion of Elastic Waves in Composites
Based on Two-Velocity Model,"
in Problems of Strength and Plasticity, Mezh. VUZov. Sb.,
No. 67, pp. 111-118
[in Russian]. |
|
| Received |
16 November 2004 |
| Link to Fulltext |
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