Eur. Phys. J. Plus (2020) 135: 242
https://doi.org/10.1140/epjp/s13360-020-00137-w

Regular Article

Hygrothermal postbuckling analysis of smart multiscale piezoelectric composite shells

¹ Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran
² Department of Aerospace Engineering, Indian Institute of Science, Bangalore, 560012, India
³ Department of Mechanical Engineering, Nitte Meenakshi Institute of Technology, Bangalore, 560064, India

^* e-mail: febrahimy@eng.ikiu.ac.ir

Received: 5 March 2019
Accepted: 19 November 2019
Published online: 10 February 2020

Abstract

In this article, the hygrothermal postbuckling behaviour of multiscale doubly curved piezoelectric shells (MDCPS) has been evaluated through multiple scales perturbation method. The multiscale composite constituting of polymer/carbon nanotube/fiber and polymer/graphene platelet/fiber (PGF) in accordance with Halpin–Tsai model is considered for evaluation. The kinematics of the MDCPS is assumed to follow third order shear deformation theory (TSDT) and the non-linearity in the strain–displacement relation is adjudged through Von Karman relationship. Further, with the aid of Hamilton’s principle the governing equations of motion are derived. The present work studies the load–deflection curves for various distribution patterns such as U (uniform), X, A and O. In addition, the influence of various prominent parameters like applied voltage, magnetic potential, aspect and curvature ratio on the postbuckling characteristics of MDCPS is studied thoroughly.