Abstract
This work deals with the size-dependent buckling response of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) (FG-CNTRC) curved beams based on a higher-order shear deformation beam theory in conjunction with the Eringen Nonlocal Differential Model (ENDM). The material properties were estimated using the rule of mixtures. The Hamiltonian principle was employed to derive the governing equations of the problem which were, in turn, solved via the Galerkin method to obtain the critical buckling load of FG-CNTRC curved beams with different boundary conditions. A detailed parametric study was carried out to investigate the influence of the nonlocal parameter, CNTs volume fraction, opening angle, slenderness ratio, and boundary conditions on the mechanical buckling characteristics of FG-CNTRC curved beams. A large parametric investigation was performed on the mechanical buckling behavior of FG-CNTRC curved beams, which included different CNT distribution schemes, as useful for design purposes in many practical engineering applications.
Highlights
The reinforcement of nanocomposites with the introduction of carbon nanotubes (CNTs) as filler beside a polymeric matrix is well known to improve the potential applications of a structure in some fields of mechanics and electronics
The parametric study presented in this work analyzes the sensitivity of the size-dependent buckling response of functionally graded (FG)-CNTRC curved beams reinforced with CNTs to some mechanical parameters, as well as to some geometrical parameters
The size-dependent buckling of FG-CNTRC curved beams was investigated within the framework of a refined beam theory and Eringen nonlocal differential model
Summary
The reinforcement of nanocomposites with the introduction of carbon nanotubes (CNTs) as filler beside a polymeric matrix is well known to improve the potential applications of a structure in some fields of mechanics and electronics. The use of CNTs with very small dimensions cannot disregard the possibility of size-dependent behavior of materials, especially at a nanoscale. This represents a challenging aspect to consider during the evaluation of the structural behavior of nanomaterials. To overcome this issue, a large variety of methods and strategies have been proposed in the literature, including laboratory tests, molecular dynamics-based simulations, and non-classical mathematical methods [10,11,12,13,14,15,16,17,18,19]. Experimental tests and molecular dynamics simulations, are typically expensive and time-consuming, which has led to find an attention to use theoretical and numerical models for approaching similar problems
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