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Formation fronts of a nonlinear elastic medium from a medium without shear stresses

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Abstract

The fronts of phase transition of a medium without shear stresses to a nonlinear incompressible anisotropic elastic medium are considered. The mass flux through unit area of a front is assumed to be known. The variation of the tangential components of the medium’s velocity and the variation of the arising shear stresses are studied. An explicit form of boundary conditions is found using the existence condition of a discontinuity front structure. The Kelvin–Voight viscoelastic model is adopted for this structure.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119899, Russia

    A. G. Kulikovskii & E. I. Sveshnikova

Authors
  1. A. G. Kulikovskii
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  2. E. I. Sveshnikova
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Correspondence to A. G. Kulikovskii.

Additional information

Original Russian Text © A.G. Kulikovskii, E.I. Sveshnikova, 2017, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2017, Vol. 72, No. 3, pp. 48–54.

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Kulikovskii, A.G., Sveshnikova, E.I. Formation fronts of a nonlinear elastic medium from a medium without shear stresses. Moscow Univ. Mech. Bull. 72, 59–65 (2017). https://doi.org/10.3103/S0027133017030025

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  • DOI: https://doi.org/10.3103/S0027133017030025

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