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Structural Engineering and Mechanics Volume 75, Number 6, September25 2020 , pages 659-674 DOI: https://doi.org/10.12989/sem.2020.75.6.659 |
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On scale–dependent stability analysis of functionally graded magneto-electro-thermo-elastic cylindrical nanoshells |
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Reza Asrari, Farzad Ebrahimi and Mohammad Mahdi Kheirikhah
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Abstract | ||
The present paper employs nonlocal strain gradient theory (NSGT) to study buckling behavior of functionally graded magneto-electro-thermo-elastic (FG-METE) nanoshells under various physical fields. NSGT modeling of the nanoshell contains two size parameters, one related to nonlocal stress field and another related to strain gradients. It is considered that mechanical, thermal, electrical and magnetic loads are exerted to the nanoshell. Temperature field has uniform and linear variation in nanoshell thickness. According to a power-law function, piezo-magnetic, thermal and mechanical properties of the nanoshell are considered to be graded in thickness direction. Five coupled governing equations have been obtained by using Hamilton's principle and then solved implementing Galerkin's method. Influences of temperature field, electric voltage, magnetic potential, nonlocality, strain gradient parameter and FG material exponent on buckling loads of the FG-METE nanoshell have been studied in detail. | ||
Key Words | ||
buckling; classical shell theory; functionally graded material; magneto-electro-thermo-elastic material; nonlocal strain gradient theory | ||
Address | ||
Reza Asrari and Mohammad Mahdi Kheirikhah: Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran Farzad Ebrahimi: Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran | ||