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Stability Analysis of Shear Deformable Inhomogeneous Nanocomposite Cylindrical Shells under Hydrostatic Pressure in
Abdullah H Sofiyev1,2,3, Nicholas Fantuzzi4
1Department of Mathematics, Istanbul Ticaret University, Beyoglu, Istanbul 34445, Türkiye.
This study analyzes the hydrostatic buckling pressure of inhomogeneous nanocomposite cylindrical shells in thermal environments. Results show how carbon nanotube models and shell characteristics impact stability.
Area of Science:
- Materials Science
- Mechanical Engineering
- Structural Analysis
Background:
- Nanocomposite cylindrical shells are crucial in various engineering applications.
- Understanding their stability under hydrostatic pressure and thermal loads is essential.
- Inhomogeneity and thermal effects significantly influence shell behavior.
Purpose of the Study:
- To investigate the hydrostatic buckling stability of inhomogeneous nanocomposite cylindrical shells (INCCSs).
- To analyze the effects of thermal environments on shell stability.
- To provide analytical expressions for hydrostatic buckling pressure.
Main Methods:
- Modeling effective material properties using the extended mixture rule.
- Generalizing first-order shear deformation theory (FSDT) for inhomogeneous shells via modified Donnell-type theory.
- Deriving stability equations for thermal environments.
- Obtaining analytical solutions using Galerkin's procedure within FSDT and classical shell theory (CST).
Main Results:
- Analytical expressions for hydrostatic buckling pressure were derived.
- Numerical examples validated the theoretical framework.
- The study quantified the influence of carbon nanotube (CNT) models, volume fraction, and shell characteristics on buckling pressure.
Conclusions:
- The stability of INCCSs is significantly affected by thermal environments.
- CNT models, volume fraction, and shell geometry are critical parameters influencing hydrostatic buckling.
- The developed theory provides a valuable tool for designing composite shells under complex conditions.
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