Abstract
This paper investigates the free vibration and compressive buckling characteristics of functionally graded graphene nanoplatelets reinforced composite (FG-GPLRC) beams containing open edge cracks by using the finite element method. The beam is a multilayer structure where the weight fraction of graphene nanoplatelets (GPLs) remains constant in each layer but varies along the thickness direction. The effective Young’s modulus of each GPLRC layer is determined by the modified Halpin-Tsai micromechanics model while its Poisson’s ratio and mass density are predicted according to the rule of mixture. The effects of GPLs distribution pattern, weight fraction, geometry, crack depth ratio (CDR), slenderness ratio as well as boundary conditions on the fundamental frequency and critical buckling load of the FG-GPLRC beam are studied in detail. It was found that distributing more GPLs on the top and bottom surfaces of the cracked FG-GPLRC beam provides the best reinforcing effect for improved vibrational and buckling performance. The fundamental frequency and critical buckling load are also considerably affected by the geometry and dimension of GPL nanofillers.
Highlights
Graphene reinforced polymer nanocomposites have been attracting considerable attention from both research and industry communities due to their exceptional mechanical properties [1].Compared to other reinforcements, such as carbon black (CB) [2], carbon fibers (CFs) [3] and carbon nanotube (CNT) [4], graphene and its derivatives give better performance among these reinforcements.Rafiee et al [5,6] experimentally found that the Young’s modulus of the epoxy composite increased by31% when reinforced by graphene nanoplatelets (GPLs) while only a 3% increase was achieved when it was reinforced by CNTs
The Young’s moduli and mass densities of the epoxy and GPLs are 3 GPa, 1200 kg/m3 and 1010 GPa, 1062.5 kg/m3, and the Poisson’s ratios υ of the epoxy and GPLs are 0.186 and 0.34, respectively. It was concluded in our previous work [17,18,19] that an ideal functionally graded beam which is continuous in material properties and composition can be accurately modelled using a multilayer FG-GPLRC beam with NL = 10
The effective material properties of GPLRC were determined by the Halpin-Tsai micromechanics model
Summary
Graphene reinforced polymer nanocomposites have been attracting considerable attention from both research and industry communities due to their exceptional mechanical properties [1].Compared to other reinforcements, such as carbon black (CB) [2], carbon fibers (CFs) [3] and carbon nanotube (CNT) [4], graphene and its derivatives give better performance among these reinforcements.Rafiee et al [5,6] experimentally found that the Young’s modulus of the epoxy composite increased by31% when reinforced by graphene nanoplatelets (GPLs) while only a 3% increase was achieved when it was reinforced by CNTs. Graphene reinforced polymer nanocomposites have been attracting considerable attention from both research and industry communities due to their exceptional mechanical properties [1]. Compared to other reinforcements, such as carbon black (CB) [2], carbon fibers (CFs) [3] and carbon nanotube (CNT) [4], graphene and its derivatives give better performance among these reinforcements. 31% when reinforced by graphene nanoplatelets (GPLs) while only a 3% increase was achieved when it was reinforced by CNTs. Tang et al [7] reported that the graphene reinforced nanocomposite possesses higher strength and fracture toughness when the graphene is highly dispersed in the polymer matrix. Liu et al.’s comparative study [8,9] demonstrated that the mechanical properties of graphene reinforcing alumina ceramic composites is higher than those of monolithic ceramic composites. Lee et al [10]
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