Nonlinear static simulation for thermal post-buckling analysis of composite annular system coupled with shape memory alloy fibers

Abstract

The provided research deals with a mathematical formulation to achieve nonlinear statics for the sandwich annular structure’s thermal post-buckling behavior. The structure’s core is filled by graphene nanoplatelets (GPLs), while its face sheets have been made of SMA/graphite/epoxy. The first-order shear deformation (FOSD) model has been employed for modeling face sheets, and quasi-3D hybrid and quadratic kind of higher-order shear deformation (Q-3D-HSD) model is supposed for core’s in-plane transverse and displacements, respectively. The boundary conditions (BCs) and nonlinear governing equations have been modeled by employing the Hamiltonian, and they have been solved applying the generalized differential quadrature (GDQ) approach. The direct-iterative method has been provided for solving the set of equations, including highly nonlinear factors. Ultimately, the outcomes reveal that the radius ratio of outer to the inner, SMA fiber, GPLs’ configurational factors, and large amplitude would play a vital role in the annular sandwich structure’s thermal post-buckling response. Moreover, the system with GPL-O distribution pattern has maximum thermal post-buckling load while GPL-X type of distribution would result in the minimum thermal post-buckling to thermal buckling ratio for the annular structure.

KEYWORDS:

• Thermal post-buckling
• sandwich annular system
• direct-iterative framework
• shape memory alloy fibers
• Q-3D-HSDT

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by Joint fund of Beijing Natural Science Foundation and Fengtai rail transit frontier research in 2019 (L191006). This work was supported by Basic Research Fund of Beijing Union University in 2019.