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ESTIMATION OF TAKING INTO ACCOUNT THE MOMENT PROPERTIES OF THE MEDIUM ON THE EXAMPLE OF A NONSTATIONARY AXISYMMETRIC PROBLEM

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Abstract—

An estimate is given of taking into account the moment properties of the medium using the example of a nonstationary axisymmetric problem of the propagation of disturbances from a spherical cavity in a Cosserat medium. For this purpose, the elastic components of these fields are allocated for the displacements and the angle of rotation. Expansions of the sought-for functions in series in Legendre and Gegenbauer polynomials, Laplace transform in time, as well as the method of a small parameter, which is used as a coefficient characterizing the relationship between displacements and the angle of rotation, are used. The originals of the regular components of the solution are calculated using residues in a linear approximation in a small parameter. Examples of calculations for a material in the form of a granular composite of aluminum shot in an epoxy matrix are given. It is shown that there are practically no quantitative differences, but qualitatively, the processes in a moment and classical elastic medium differ significantly.

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Authors and Affiliations

  1. Moscow Aviation Institute (National Research University), 125993, Moscow, Russia

    D. V. Tarlakovskii & Nguyen Van Lam

  2. Institute of Mechanics, Lomonosov Moscow State University, 119192, Moscow, Russia

    D. V. Tarlakovskii

Authors
  1. D. V. Tarlakovskii
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  2. Nguyen Van Lam
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Corresponding authors

Correspondence to D. V. Tarlakovskii or Nguyen Van Lam.

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Translated by I. K. Katuev

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Tarlakovskii, D.V., Van Lam, N. ESTIMATION OF TAKING INTO ACCOUNT THE MOMENT PROPERTIES OF THE MEDIUM ON THE EXAMPLE OF A NONSTATIONARY AXISYMMETRIC PROBLEM. Mech. Solids 56, 1013–1019 (2021). https://doi.org/10.3103/S0025654421060182

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  • DOI: https://doi.org/10.3103/S0025654421060182

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