Abstract

Abstract In present paper, buckling analysis is performed over laminated composite beam incorporating multi walled carbon nanotube (MWCNT) polymer matrix and then reinforced with E-glass fiber in an orthotropic manner under inplane varying thermal and mechanical loads by finite element method (FEM). Aim of the study is to develop a model which accurately perform the buckling deterministic analysis of multi-walled carbon nanotube reinforced composite laminated beam (MWCNTRCLB) with the evaluation of material property by applying Halpin–Tsai model. Combined Higher order shear deformation theory and Pasternak elastic foundation based on von Karman nonlinear kinematics and Winkler cubic nonlinearity respectively, are successfully implemented. Through minimum potential energy principle, generalized static analysis is performed using FEM, based on interactive MATLAB coding. The critical buckling load and critical buckling temperature is presented under the action of inplane variable mechanical and thermal load, with different boundary conditions, beam thickness ratio and MWCNT aspect ratio, variation with MWCNT volume fraction and coefficient of thermal expansion, with and without foundation for linear and nonlinear cases.

Highlights

  • This paper focused to present analytical study of the composite material incorporated with multi walled car-The researchers showed that the addition of carbon nanotube (CNT)’s in the polymer matrices can lead to significant improvement in the composite properties even at very low volume fractions of CNTs

  • The presented results using C∘ finite element method (FEM) based on HSDT shows the very close agreement with the results presented in the literatures [23] using first order shear deformation (FSDT), [49, 50] using refined/lamination beam theory

  • Structural point of view SWCNT is comparably more efficient over multi walled carbon nanotube (MWCNT), but this study allows to facilitate the optional case with double walled CNT (DWCNT) for certain situation

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Summary

Introduction

The researchers showed that the addition of CNT’s in the polymer matrices can lead to significant improvement in the composite properties even at very low volume fractions of CNTs. Karamanli and Aydogdu [32] performed the buckling analysis of CLB with the inplane variable load with different boundary conditions and beam aspect ratio. Fu et al [44] and Akbas [45] performed the thermal buckling and post buckling analysis of CLB under uniform rise in temperature and different boundary conditions. No one has performed the critical buckling analysis considering matrix and MWCNT, matrix and SWCNT as a new matrix which reinforced into fiber, and observing the effect of variation of CNT parameters under different boundary conditions, along with foundation effect. The buckling performance of the composite beam is analyzed for different beam aspect ratio, boundary conditions, stacking sequence and orientations, ratio of coefficient of thermal expansion with and without PasternakWinkler foundation parameters

Geometry of the CLB
Elastic material property calculation of MWCNTRC
Displacement field equation
Stress-strain relationship
Finite element modeling
Governing buckling equation
2.10 Solution Approach
Result and Discussion
Convergence and validation study
Parametric Study under mechanical loading
Findings
Parametric Study under thermal loading
Conclusion
Full Text
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