Assessment Of Negative Poisson'S Ratio Effect On The Postbuckling Of Pressure-Loaded Fg-Cntrc Laminated Cylindrical Shells

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES(2023)

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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 Karman-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.
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Key words
Auxetic laminates, functionally graded, temperature dependent, shell, buckling
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