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Effect of quasi-total internal reflection of shock waves at an interface between two elastic media

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Abstract

The interaction of a spherical shock stress wave generated by a point explosion with a plane interface between two elastic media with different mechanical parameters is considered. Using the method of zero approximation of ray theory, it is shown that, after passage of a shock from a medium with smaller acoustic stiffness into a medium with greater acoustic stiffness, the stresses at the front of the refracted shock tend to infinity near the points of quasi-total internal reflection, and this can result in local failure of the media. An experiment with a two-component medium water-Plexiglas confirms the theoretically predicted phenomenon with sufficient accuracy.

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Authors
  1. I. I. Anik'ev
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  2. V. I. Gulyaev
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  3. G. M. Ivanchenko
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  4. P. Z. Lugovoi
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  5. E. A. Sushchenko
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  6. E. V. Yakovenko
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Additional information

Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev 252057. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 41, No. 1, pp. 21–27, January–February, 2000.

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Anik'ev, I.I., Gulyaev, V.I., Ivanchenko, G.M. et al. Effect of quasi-total internal reflection of shock waves at an interface between two elastic media. J Appl Mech Tech Phys 41, 17–22 (2000). https://doi.org/10.1007/BF02465231

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  • DOI: https://doi.org/10.1007/BF02465231

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