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Optimal heating of three-layer cylindric shells with a light elastic filler

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

The problem is analyzed of determining the extremal temperature fields in three-layer cylindric shells ensuring a relatively low level of temperature stress. It is shown that the optimal tempe rature fields, as well as the arising temperature stresses, depend strongly on mechanical characteristics of a shell. Solutions for this class of problems for single-layer isotropic shells considered before within the framework of the classical Kirchhoff-Love theory are given in [1, 2].

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Literature cited

  1. É. I. Grigolyuk, Ya. I. Burak, and Ya. S. Podstrigach, “An extremal thermoelasticity problem for an infinite cylindric shell,” Dokl. Akad. Nauk SSSR,174, No. 3 (1967).

  2. É. I. Grigolyuk, Ya. I. Burak, and Ya. S. Podstrigach, “Formulation and solution of variational problems of thermoelasticity for thin shells as applied to the selection of optimal states of local heat treatment,” Zh. Prikl. Mekh. Tekh. Fiz., No. 4 (1968).

  3. É. I. Grigolyuk, “Equations for three-layer shells with a light elastic filler,” Izv. Akad. Nauk SSSR, Mekh. Mashinostr., No. 3 (1957).

  4. I. M. Gel'fand and S. V. Fomin, Calculus of Variations [in Russian], Fizmatgiz, Moscow (1961).

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Authors and Affiliations

  1. Moscow

    É. I. Grigolyuk, B. L. Pelekh & Ya. S. Podstrigach

  2. L'vov

    É. I. Grigolyuk, B. L. Pelekh & Ya. S. Podstrigach

Authors
  1. É. I. Grigolyuk
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  2. B. L. Pelekh
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  3. Ya. S. Podstrigach
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Additional information

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskot Fiziki, No. 2, pp. 120–124, March–April, 1975.

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Grigolyuk, É.I., Pelekh, B.L. & Podstrigach, Y.S. Optimal heating of three-layer cylindric shells with a light elastic filler. J Appl Mech Tech Phys 16, 248–251 (1975). https://doi.org/10.1007/BF00858922

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  • DOI: https://doi.org/10.1007/BF00858922

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