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A mixed dynamic problem of the theory of elasticity for a piecewise homogeneous plane

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Abstract

We study the process of splitting of a compressed piecewise homogeneous medium under high-speed motion of a wedge with the formation of a crack of unknown extent ahead of the wedge. The motion of the wedge occurs along the interface between physico-mechanical properties of the piecewise homogeneous plane. We carry out numerical studies. We obtain asymptotic representations of the elastic potentials at the limiting velocities of motion of the wedge. Two figures. One table. Bibliography: 6 titles.

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Literature Cited

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Authors
  1. A. A. Levshin
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  2. P. M. Velichko
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  3. R. I. Manuilenko
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Additional information

Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 26, 1996, pp. 48–58.

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Levshin, A.A., Velichko, P.M. & Manuilenko, R.I. A mixed dynamic problem of the theory of elasticity for a piecewise homogeneous plane. J Math Sci 86, 3117–3122 (1997). https://doi.org/10.1007/BF02355708

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  • DOI: https://doi.org/10.1007/BF02355708

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