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Smart Structures and Systems Volume 19, Number 1, January 2017 , pages 33-38 DOI: https://doi.org/10.12989/sss.2017.19.1.033 |
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Nonlinear and linear thermo-elastic analyses of a functionally graded spherical shell using the Lagrange strain tensor |
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Mohammad Arefi and Ashraf M. Zenkour
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| 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. | ||
| Key Words | ||
| thermo-elastic; nonlinear analysis; non-homogenous index; mechanical loads; strain | ||
| Address | ||
| Mohammad Arefi: Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, I.R. Iran Ashraf M. Zenkour: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia; Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt | ||