Buckling and Free Vibration of Nonuniformly Heated Functionally Graded Carbon Nanotube Reinforced Polymer Composite Plate

Abstract

Buckling and free vibration behavior of functionally graded carbon nanotube reinforced polymer composite plate subjected to nonuniform temperature fields have been investigated using finite element approach. The effective material constants of the plate are obtained using the extended rule of mixture along with efficiency parameters of the carbon nanotube (to include geometry-dependent material properties). Influence of boundary conditions, aspect ratio, functional grading of the carbon nanotube, nonuniform thermal loading on thermal buckling and free vibration behavior of the heated plate are analyzed. It is observed that temperature fields and functional grading are influenced on the critical buckling temperature of the plates. Further, nature of functional grading showed significant change in buckling mode shapes irrespective of the boundary conditions. The first few natural frequencies of the plate under thermal load decreases as the temperature increases and they are influenced significantly by the nature of temperature field. Variations in free vibration mode shapes of the square plates found with not significant change as temperature increases. However, free vibration modes of the rectangular plates are sensitive to the nature of temperature field whenever there is a free edge associated with the boundary condition. Influence of functional grading on the free vibration mode shapes is not significant in contrast with the free vibration natural frequencies. The magnitude of free vibration natural frequencies of functional grade-X type carbon nanotube reinforcement showed higher in comparison with other two types of reinforcements considered here.

Buckling analysis of reinforced composite plates with a multiwall carbon nanotube (MWCNT)

“…The experimental set up is shown in Figure- The critical load of buckling is determined from the load-displacement curve as shown in Figure-6. Where the point that left from the straight line is determined from the graphics and the corresponding vertical coordinate represents the critical load of buckling [11]. The sample models are then meshed.…”

Thermal buckling of braided flax woven polylactic acid composites

“…The results revealed that the nonuniformly heated beam critical temperature is totally different from uniformly heated beam and also concluded that the critical temperature of the beam significantly varies with the position of the heating source. George et al 15 analysed the functionally graded carbon nanotube reinforced polymer composite nonuniformly heated plate buckling and free vibration with the help of finite element method. The study showed that the type of CNT reinforcement and variation in temperature field are the two factors which produce a significant impact on buckling strength of the polymer composites.…”

“…George et al. 15 analysed the functionally graded carbon nanotube reinforced polymer composite nonuniformly heated plate buckling and free vibration with the help of finite element method. The study showed that the type of CNT reinforcement and variation in temperature field are the two factors which produce a significant impact on buckling strength of the polymer composites.…”

Mindlin’s strain gradient theory for vibration analysis of FG-CNT-reinforced composite nanoplates resting on Kerr foundation in thermal environment

“…Ansari et al 12 examined the buckling and free vibration behavior of CNTRC annular sector plates in thermal environments using the generalized differential quadrature method (GDQM). George et al 13 investigated the buckling and free vibration response of CNT polymer plates subjected to nonuniform temperature fields using finite element approach. Phung-Van et al 14 used isogeometric analysis and generalized higher-order shear deformation theory (HSDT) to consider the influence of size dependency of FG-CNTRC nanoplates.…”