 | | 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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| D. A. Indeitsev, V. N. Naumov, and E. I. Prokuratova, "The effect of rheological fracture elements in modeling wave motions in a rod of complex structure," Mech. Solids. 40 (4), 90-97 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
4 |
Pages |
90-97 |
| Title |
The effect of rheological fracture elements in modeling wave motions in a rod of complex structure |
| Author(s) |
D. A. Indeitsev (St. Petersburg)
V. N. Naumov (St. Petersburg)
E. I. Prokuratova (St. Petersburg) |
| Abstract |
Wave propagation in a rod of complex structure is studied on the basis of a
two-component model of a deformable solid. It is supposed that the first
material component of the rod is linearly elastic. The second component
contains rheological fracture elements, which either are rigid or
completely lose their bearing strength depending on the stress. Kinematic
loading is specified at the endpoint x=0 of the rod. The wave reflected
from the free end x=L moves in the opposite direction in the material
whose second component has undergone structural changes. The results of
numerical solution are used in the analysis of experimental data obtained
by impulsive loading of metallic targets by a finite-size striker. The
qualitative agreement between the experimental data and the results of
theoretical model calculations suggests that the model can be used in the
analysis of dynamic processes in solids of complex structure. |
| References |
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and vortex instabilities in shock loaded titanium alloys," Shock Waves, No. 10, pp. 43-56, 2000. |
| 2. | Yu. L. Mescheryakov, A. K. Divakov, and N. I. Zhigacheva, "Role of mesostructure effects
in dynamic plasticity and strength of ductile steels," Mater. Phys. Mech., No. 3, pp. 63-100,
2001. |
| 3. | N. F. Morozov and A. B. Freidin, "Equilibrium of a two-phase strain field in elastic
solids," in Transactions of the 27th School "Analysis and Synthesis of Nonlinear Mechanical
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| 4. | Zhong, "Dynamic behavior of interface between two solid phases in elastic bar," J.
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| 7. | L. I. Slepyan, "Feeding and dissipative waves in fracture and phase II. Phase-transition
waves," J. Mech. Phys. Solids, Vol. 49, pp. 513-550, 2001. |
| 8. | V. A. Palmov, Vibrations of Elastoplastic Bodies [in Russian],
Nauka, Moscow, 1976. |
| 9. | V. A. Palmov, Vibrations of Elasto-Plastic Bodies, Springer, Berlin, 1998. |
| 10. | A. M. Balky, A. V. Cherkaev, and L. I. Slepyan, "Dynamics of chains with nonmonotone
stress-strain relations. 1. Model and numerical experiments," J. Mech. Phys. Solids, Vol. 49,
pp. 131-148, 2001. |
| 11. | A. M. Balky, A. V. Cherkaev, and L. I. Slepyan, "Dynamics of chains with nonmonotone
stress-strain relations. 2. Nonlinear waves and waves of phase transition," J. Mech. Phys. Solids,
Vol. 49, pp. 149-171, 2001. |
|
| Received |
10 February 2005 |
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