 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| A. D. Avdeeva and E. I. Sveshnikova, "Quasi-transverse shock waves in an elastic medium with a complex form of the elastic potential energy," Mech. Solids. 39 (6), 78-86 (2004) |
| Year |
2004 |
Volume |
39 |
Number |
6 |
Pages |
78-86 |
| Title |
Quasi-transverse shock waves in an elastic medium with a complex form of the elastic potential energy |
| Author(s) |
A. D. Avdeeva (Moscow)
E. I. Sveshnikova (Moscow) |
| Abstract |
Weak shock waves in slightly anisotropic elastic media are
considered. In the previous studies of this problem, the elastic potential (internal) energy of the medium was represented as a series in small strains and small entropy variation, in which only the leading terms responsible for the nonlinearity and anisotropy were retained. In the present study, subsequent terms of this series are taken into account. This makes it possible to extend the range of applicability of the results to larger shock wave amplitudes and to examine the accuracy of the previous model. The complex problem formulation is linearized with respect to the previous solution regarded as zero approximation. For quasi-transverse shock waves, the shock velocities and the corrected shape of the shock adiabat are found. The states behind the shock, which satisfy the evolution and entropy no-decrease conditions, are obtained. |
| References |
| 1. | D. R. Bland, Nonlinear Dynamic Elasticity, Toronto, London, Waltham, 1969. |
| 2. | A. G. Kulikovskii and E. I. Sveshnikova, Nonlinear Waves in Elastic
Media [in Russian], Moskovskii Litsei, Moscow, 1998. |
| 3. | A. G. Kulikovskii and E. I. Sveshnikova, "Influence of the
entropy change on the shock adiabat form for quasi-transverse elastic waves," PMM [Applied Mathematics and Mechanics], Vol. 67, No. 1, pp. 88-98, 2003. |
| 4. | A. G. Kulikovskii and E. I. Sveshnikova, "Investigation of the
shock adiabat for quasi-transverse shock waves in the prestressed elastic medium," PMM [Applied Mathematics and Mechanics], Vol. 46, No. 5, pp. 831-841, 1982. |
| 5. | L. I. Sedov, Continuum Mechanics.Volume 2 [in Russian], Nauka,
Moscow, 1984. |
|
| Received |
31 July 2003 |
| << Previous article | Volume 39, Issue 6 / 2004 | Next article >> |
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