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Nonstationary vibrations of a discretely accreted thermoelastic parallelepiped

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Abstract

A procedure for determining nonstationary vibrations of a discretely accreted thermoelastic body in the approximation of small deformations and thermal flows is developed. A closed-form solution is constructed for a growing parallelepiped under “smoothly rigid” heat-insulated fixation conditions for the stationary faces and the growing load-free face. The temperature field on the growing face is analyzed numerically for various accretion scenarios.

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Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia

    A. L. Levitin, S. A. Lychev & A. V. Manzhirov

  2. Tshwane University of Technology, P.B. X680, Pretoria, 0001 FIN-40014, South African Republic

    M. Yu. Shatalov

Authors
  1. A. L. Levitin
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  2. S. A. Lychev
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  3. A. V. Manzhirov
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  4. M. Yu. Shatalov
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Corresponding author

Correspondence to A. L. Levitin.

Additional information

Original Russian Text © A.L. Levitin, S.A. Lychev, A.V. Manzhirov, M.Yu. Shatalov, 2012, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2012, No. 6, pp. 95–109.

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Levitin, A.L., Lychev, S.A., Manzhirov, A.V. et al. Nonstationary vibrations of a discretely accreted thermoelastic parallelepiped. Mech. Solids 47, 677–689 (2012). https://doi.org/10.3103/S0025654412060106

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  • DOI: https://doi.org/10.3103/S0025654412060106

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