Abstract
Abstract The present paper is aimed to study the buckling and postbuckling response of functionally graded carbon nanotube (FG-CNT)- magnesium (Mg) nanocomposite plate with interphase effect. Interphase zone is characterized by employing a cohesive zone model for its elastic modulus and thickness. An equivalent solid fiber (ESF) of CNT and interphase is modeled and dispersed into the matrix material by utilizing random sequential adsorption (RSA) technique. The effective elastic properties of the nanocomposite are computed by finite element method (FEM) based numerical homogenization technique. The obtained elastic properties of nanocomposite are utilized to investigate the buckling and post-buckling behaviour of different functionally graded (i.e., FG) nanocomposite plates modeled by varying the volume fraction of CNT/ESF along thickness direction, under in-plane compressive loads. The non-linear formulation is based on first-order shear deformation theory and von Karman’s assumptions. It is found that considering the interphase between CNT and Mg matrix would result in decrease in buckling load and postbuckling strength of FG-CNT-reinforced nanocomposite plate as compared to nanocomposite without interphase. It is also reported that the higher volume fraction of CNTs near top and bottom surfaces than the middle portion of nanocomposite plate provide better resistance to buckling and postbuckling.
Highlights
Carbon nanotubes (CNTs), one-dimensional (1D) tubular structure of hexagonally arranged carbon atoms exhibit exceptionally high aspect ratio in combination with low density, as well as high strength and stiffness
It is found that considering the interphase between CNT and Mg matrix would result in decrease in buckling load and postbuckling strength of functionally graded carbon nanotube (FG-CNT)-reinforced nanocomposite plate as compared to nanocomposite without interphase
Shokrieh and Rafiee [12] suggested not to compare the stiffness properties of equivalent solid fiber (ESF)-reinforced nanocomposite obtained from finite element modeling with those predicted by the micromechanics based rule of mixtures, since the latter doesn’t consider the effect of perfectly bonded interphase zone between CNT and matrix material and overestimates the stiffness properties
Summary
Carbon nanotubes (CNTs), one-dimensional (1D) tubular structure of hexagonally arranged carbon atoms exhibit exceptionally high aspect ratio in combination with low density, as well as high strength and stiffness. Shokrieh and Rafiee [12] suggested not to compare the stiffness properties of ESF-reinforced nanocomposite obtained from finite element modeling with those predicted by the micromechanics based rule of mixtures, since the latter doesn’t consider the effect of perfectly bonded interphase zone between CNT and matrix material and overestimates the stiffness properties. The effective elastic properties of the nanocomposite material are evaluated with the application of finite element method (FEM) based numerical homogenization technique for different volume fractions of CNT reinforcement. Different studies are performed to study the effects of perfect and imperfect bonding between CNT and matrix material, type of CNT-distribution in FG plate, CNT-alignment, geometric parameters (i.e., aspect ratio and width-to-thickness ratio), boundary conditions and type of loading (i.e., uniaxial and bi-axial compression) on the postbuckling behaviour of FG-CNT-reinforced nanocomposite plate
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