Eur. Phys. J. Plus (2021) 136: 818
https://doi.org/10.1140/epjp/s13360-021-01761-w

Regular Article

Poroelasticity framework for stress/strain responses of the multi-phase circular/annular systems resting on various types of elastic foundations

¹ Sichuan Highway Planning Survey Design and Research Institute Ltd., 610000, Chengdu, Sichuan, China
² Exploration and Production Research Institute, Sinopec Southwest Oil & Gas Company, 610041, Chengdu, Sichuan, China
³ Al-Farabi Kazakh National University, Almaty, Kazakhstan
⁴ Kazakh-British Technical University, Almaty, Kazakhstan
⁵ Department of Mechanics, Imam Khomeini International University, Qazvin, Iran

^b wanglinghui0204@163.com

Received: 9 September 2020
Accepted: 16 July 2021
Published online: 9 August 2021

Abstract

This paper investigates bending responses of three-phase multi-scale hybrid laminated nanocomposite reinforced axisymmetric circular/annular plates based upon the three-dimensional poroelasticity theory for various sets of boundary conditions. The two-parameter elastic foundation (Pasternak type) is developed by taking into account the torsional interaction. Using compatibility conditions, the sandwich structure with two, three, five, and seven layers is modeled. The state-space-based differential quadrature method is presented to examine the bending behavior of the composite structure by considering various boundary conditions. For prediction of the bulk material properties of the multi-scale composite, Halpin–Tsai equations and fiber micromechanics are presented. The carbon nanotubes are supposed to be randomly oriented and uniformly distributed through the matrix of epoxy resin. Afterward, a parametric study is done to present the effects of stacking sequence, various types of sandwich circular/annular plates, linear and torsional gradient elastic foundation, and Biot’s coefficient on the bending characteristics of the composite structure. Results reveal that the impact of external pressure on the hoop shear stress, radial stress, and radial shear stress of the laminated circular plate becomes more considerable in the middle layers.