Assessment of negative Poisson’s ratio effect on the postbuckling of pressure-loaded FG-CNTRC laminated cylindrical shells

Abstract

This paper examines the postbuckling behaviors of pressure-loaded laminated cylindrical shells made of carbon nanotube reinforced composite (CNTRC) under thermal environmental conditions. The shell has negative in-plane or out-of-plane effective Poisson’s ratio (EPR). The thermo-mechanical properties of CNTRCs are temperature dependent. The CNT volume fraction of the shell is in a piece-wise functionally graded (FG) distribution across the shell thickness. The extended rule of mixture (EROM) model is applied to determine the thermo-mechanical properties of CNTRCs. Based on the framework of the Reddy's third order shear deformation shell theory and the von Kármán-type of kinematic assumptions, the governing partial differential equations for pressure-loaded CNTRC laminated cylindrical shells are formulated. The thermal environmental condition effect is also included. The postbuckling solution for pressure-loaded FG-CNTRC laminated cylindrical shell is obtained in the asymptotic sense by means of a singular perturbation technique in associate with a two-step perturbation approach. Numerical investigations are carried out for the (10/60/10)_S shell including in-plane NPR effect, and (20/-20/20)_S and (70/-70/70)_S shells including out-of-plane NPR effect. Assessment is presented through numerical comparisons.

Keywords:

• Auxetic laminates
• functionally graded
• temperature dependent
• shell
• buckling

Acknowledgments

The supports for this work, provided by the National Natural Science Foundation of China (NSFC) under Grant 51779138, are gratefully acknowledged.

Conflict of interest

The authors confirm that there is no conflict of interest about this paper to disclose.