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A High Order Theory for Linear Thermoelastic Shells : Comparison with Classical Theories
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-04
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
A high order theory for linear thermoelasticity and heat conductivity of shells has been developed.
The proposed theory is based on expansion of the 3-D equations of theory of thermoelasticity and heat conductivity into Fourier series in terms of Legendre polynomials.
The first physical quantities that describe thermodynamic state have been expanded into Fourier series in terms of Legendre polynomials with respect to a thickness coordinate.
Thereby all equations of elasticity and heat conductivity including generalized Hooke's and Fourier's laws have been transformed to the corresponding equations for coefficients of the polynomial expansion.
Then in the same way as in the 3D theories system of differential equations in terms of displacements and boundary conditions for Fourier coefficients has been obtained.
First approximation theory is considered in more detail.
The obtained equations for the first approximation theory are compared with the corresponding equations for Timoshenko's and Kirchhoff-Love's theories.
Special case of plates and cylindrical shell is also considered, and corresponding equations in displacements are presented.
American Psychological Association (APA)
Zozulya, V. V.. 2013. A High Order Theory for Linear Thermoelastic Shells : Comparison with Classical Theories. Journal of Engineering،Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-483240
Modern Language Association (MLA)
Zozulya, V. V.. A High Order Theory for Linear Thermoelastic Shells : Comparison with Classical Theories. Journal of Engineering No. 2013 (2013), pp.1-19.
https://search.emarefa.net/detail/BIM-483240
American Medical Association (AMA)
Zozulya, V. V.. A High Order Theory for Linear Thermoelastic Shells : Comparison with Classical Theories. Journal of Engineering. 2013. Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-483240
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483240