Eur. Phys. J. Plus (2022) 137: 163
https://doi.org/10.1140/epjp/s13360-021-02296-w

Regular Article

Poro-thermo-elasticity analysis of the functionally graded nanocomposite sandwich plate reinforced with CNTs

¹ School of Materials Science and Engineering & Engineering Research Center of Transportation Materials of Ministry of Education, Chang’an University, 710064, Xian, China
² TDC, SAIC GM Wuling Automobile Co., Ltd, 545000, Liuzhou, Guangxi, China
³ College of Engineering, Civil Engineering Department, Prince Sattam Bin Abdulaziz University, 16273, Al-Kharj, Saudi Arabia
⁴ Laboratory of Systems and Applied Mechanics, Polytechnic School of Tunisia, University of Carthage, Tunis, Tunisia
⁵ Department of Engineering Mechanics, Zhejiang University, Hangzhou, China

^a anyuzhang@163.com

Received: 19 July 2021
Accepted: 17 December 2021
Published online: 24 January 2022

Abstract

Due to rapid detrimental impacts of thermal shock loading on the response of the operational units like the fuselage of the spacecrafts, current survey analyzes the coupled poro-thermo-elastic performance of the sandwich rectangular plates for the first time. Importance of finding analytical solution as well as defining the kinematics of the structure based on the exact theories in presenting reliable results encouraged the authors of this article to use Navier approach to gain the solution of the governing differential relations of the sandwich plate developed within the context of the exact three-dimensional elasticity theory. This is supposed that the upward surface of the sandwich plate is located in the exposure of thermal shock, while the downward one is fully insulated. To determine the time history of the stress and deflection components as well as temperature gradient, Dubner and Abate method is employed to gain the inversion of the Laplace transform. Main novelties of the present study can be found in practical ways presented as the protectional solutions against damaging effects of thermal shock by using nanocomposite materials in the texture of the structure in addition to sandwich form of the plate used instead of single layer one. Also, the influence of the poro-elastic properties of the constituent materials on the transient response of the plate is considered for the first time. As a worth noting result, the present transient coupled poro-thermo-elasticity study shows the superiority of the uniform scattering of CNT to functionally graded ones across the thickness orientation in reducing the stresses generated due to exerting the thermal shock.