Cylindrical Tank Filled With a Liquid in a Three-Dimensional Temperature Field

Cylindrical Tank Filled With a Liquid in a Three-Dimensional Temperature Field In the cylindrical coordinate system, we construct an exact solution of the threedimensional thermoelasticity problem for a tank filled with a liquid. After determining the temperature field from the heat conduction equation, we solve the equations of the asymmetrical problem of the theory of elasticity. In doing so, the system of resolving equations is reduced to four separate equations with respect to the displacements of the construction. Several exact solutions of boundary-value problems are found. The results are presented in the form of rather simple formulas. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Russian Mathematics Springer Journals

Cylindrical Tank Filled With a Liquid in a Three-Dimensional Temperature Field

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Publisher
Pleiades Publishing
Copyright
Copyright © 2018 by Allerton Press, Inc.
Subject
Mathematics; Mathematics, general
ISSN
1066-369X
eISSN
1934-810X
D.O.I.
10.3103/S1066369X18020032
Publisher site
See Article on Publisher Site

Abstract

In the cylindrical coordinate system, we construct an exact solution of the threedimensional thermoelasticity problem for a tank filled with a liquid. After determining the temperature field from the heat conduction equation, we solve the equations of the asymmetrical problem of the theory of elasticity. In doing so, the system of resolving equations is reduced to four separate equations with respect to the displacements of the construction. Several exact solutions of boundary-value problems are found. The results are presented in the form of rather simple formulas.

Journal

Russian Mathematics – Springer Journals

Published: Mar 13, 2018

References

  • A Guide to Solving the Problems of the Elasticity Theory
    Rekach, V.G.
  • Methods of the Mathematical Theory of Elasticity
    Parton, V. Z.; Perlin, P. I.
  • Selected Works
    Kovalenko, A. D.
  • Boundary-Value Problems of the Elasticity Theory for Spheres and Cylinders
    Gur’yanov, N. G.; Tyuleneva, O. N.

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