Buckling analysis of nonlocal third-order shear deformable functionally graded piezoelectric nanobeams embedded in elastic medium
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- 作者：Farzad Ebrahimi ; Mohammad Reza Barati
- 关键词：Functionally graded piezoelectric nanobeam ; Elastic foundation ; Buckling ; Nonlocal elasticity theory ; Third ; order beam theory
- 刊名：Journal of the Brazilian Society of Mechanical Sciences and Engineering
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：39
- 期：3
- 页码：937-952
- 全文大小：
- 刊物主题：Mechanical Engineering;
- 出版者：Springer Berlin Heidelberg
- ISSN：1806-3691
- 卷排序：39
文摘
This paper investigates buckling response of higher-order shear deformable nanobeams made of functionally graded piezoelectric (FGP) materials embedded in an elastic foundation. Material properties of FGP nanobeam change continuously in thickness direction based on power-law model. To capture small size effects, Eringen’s nonlocal elasticity theory is adopted. Employing Hamilton’s principle, the nonlocal governing equations of FGP nanobeams embedded in elastic foundation are obtained. To predict buckling behavior of embedded FGP nanobeams, the Navier-type analytical solution is applied to solve the governing equations. Numerical results demonstrate the influences of various parameters such as elastic foundation, external electric voltage, power-law index, nonlocal parameter and slenderness ratio on the buckling loads of size-dependent FGP nanobeams.