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http://dx.doi.org/10.12989/sss.2017.19.1.033

Nonlinear and linear thermo-elastic analyses of a functionally graded spherical shell using the Lagrange strain tensor  

Arefi, Mohammad (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan)
Zenkour, Ashraf M. (Department of Mathematics, Faculty of Science, King Abdulaziz University)
Publication Information
Smart Structures and Systems / v.19, no.1, 2017 , pp. 33-38 More about this Journal
Abstract
This research tries to present a nonlinear thermo-elastic solution for a functionally graded spherical shell subjected to mechanical and thermal loads. Geometric nonlinearity is considered using the Lagrange or finite strain tensor. Non-homogeneous material properties are considered based on a power function. Adomian's decomposition method is used for calculation of nonlinear results. Nonlinear results such as displacement can be evaluated for sphere in terms of different indexes of non-homogeneity. A comprehensive comparison between linear and nonlinear results and evaluation of the percentage of difference between them can be performed in this paper. The obtained results indicate that the improvement of the results due to usage of nonlinear analysis is depending on the non-homogeneous index.
Keywords
thermo-elastic; nonlinear analysis; non-homogenous index; mechanical loads; strain;
Citations & Related Records
Times Cited By KSCI : 5  (Citation Analysis)
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