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On propagation of shock waves in an elastic medium under plane finite strain. (English. Russian original) Zbl 0298.73031

J. Appl. Math. Mech. 37, 854-858 (1973); translation from Prikl. Mat. Mekh. 37, 900-904 (1973).

MSC:

74M20 Impact in solid mechanics
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References:

[1] Sedov, L. I., (Mechanics of a Continuous Medium, Vol. 1 (1970), Nauka: Nauka Moscow) · Zbl 0224.73002
[2] Truesdell, C., General and exact theory of waves in finite elastic strain, Arch. Rational Mech. and Analysis, Vol. 8, N≗6 (1964) · Zbl 0111.37703
[3] Boa-Teh, Chu, Transverse shock waves in incompressible elastic solids, J. Mech. Phys. Solids, Vol. 15, N≗1 (1967)
[4] Chernyshov, A. D., On shock wave propagation in an elastic with finite deformations, PMM, Vol. 34, N≗5 (1970) · Zbl 0222.73026
[5] Bland, D.R., Nonlinear Dynamic Elasticity. Waltham, Mass.-Toronto-London.; Bland, D.R., Nonlinear Dynamic Elasticity. Waltham, Mass.-Toronto-London. · Zbl 0236.73035
[6] Filatov, G. F., On shock waves propagation in nonlinear elasticity theory, (Coll. of Scien. Work of the Applied Math. and Mech. Faculty, Voronezh Univ. (1971)), N≗2
[7] Hughes, D. S.; Kelly, I. L., Second-order elastic deformation of solids, Phys. Rev., Vol. 92, N≗5 (1953) · Zbl 0052.45507
[8] Savin, G. N.; Lukashov, A. A.; Lysko, E. M.; Veremeenko, S. V.; Vozhevskaia, S. M., Elastic wave propagation in a solid in the case of a nonlinearly elastic model of a continuous medium, Prikl. Mekh., Vol. 6, N≗2 (1970)
[9] Thomas, T., Plastic Flow and Rupture in Solids (1964), Mir: Mir Moscow, (Russian translation)
[10] Chernyshov, A. D., On shock waves propagation conditions in media with elastic and plastic properties, (Problems of the Mechanics of Rock Strata (1972), Nauka: Nauka Alma-Ata) · Zbl 0207.24705
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