Modeling of thermoelastic processes in heterogeneous anisotropic shells with initial deformations

A refined mathematical model of the dynamic problem of coupled thermoelasticity of heterogeneous anisotropic shells taking into account the anisotropy of thermomechanical properties of the material both in the median surface and in the transversal direction is developed. The model includes initial d...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2011-11, Vol.178 (5), p.512-530
Main Authors: Kushnir, R. M., Nykolyshyn, M. M., Zhydyk, U. V., Flyachok, V. M.
Format: Article
Language:English
Subjects:
Analysis
Anisotropy
Mathematics
Mathematics and Statistics
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Summary:A refined mathematical model of the dynamic problem of coupled thermoelasticity of heterogeneous anisotropic shells taking into account the anisotropy of thermomechanical properties of the material both in the median surface and in the transversal direction is developed. The model includes initial deformations and is based on the assumption that the components of the vector of displacements and temperature are linearly distributed over the thickness. The reliability of the proposed model is evaluated by comparing the solutions obtained on its basis with the corresponding solutions obtained by using the theory of elasticity.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-011-0566-5