Abstract
The buckling behavior of functionally graded graphene platelet-reinforced composite (FG-GPLRC) shallow arches with elastic rotational constraints under uniform radial load is investigated in this paper. The nonlinear equilibrium equation of the FG-GPLRC shallow arch with elastic rotational constraints under uniform radial load is established using the Halpin-Tsai micromechanics model and the principle of virtual work, from which the critical buckling load of FG-GPLRC shallow arches with elastic rotational constraints can be obtained. This paper gives special attention to the effect of the GPL distribution pattern, weight fraction, geometric parameters, and the constraint stiffness on the buckling load. The numerical results show that all of the FG-GPLRC shallow arches with elastic rotational constraints have a higher buckling load-carrying capacity compared to the pure epoxy arch, and arches of the distribution pattern X have the highest buckling load among four distribution patterns. When the GPL weight fraction is constant, the thinner and larger GPL can provide the better reinforcing effect to the FG-GPLRC shallow arch. However, when the value of the aspect ratio is greater than 4, the flakiness ratio is greater than 103, and the effect of GPL’s dimensions on the buckling load of the FG-GPLRC shallow arch is less significant. In addition, the buckling model of FG-GPLRC shallow arch with elastic rotational constraints is changed as the GPL distribution patterns or the constraint stiffness changes. It is expected that the method and the results that are presented in this paper will be useful as a reference for the stability design of this type of arch in the future.
Highlights
Graphene-related research and application development are hot topics today, and graphene-based composites have become an important direction in application field of graphene [1,2,3,4]
The FG-GPLRC shallow arch with elastic rotational constraints is composed of perfectly bonded GPLRC layers of equal thickness hL, which are made from a mixture of polymer matrices and graphene nanoplatelets (GPLs)
According to the virtual work principle, the virtual work of the FG-GPLRC shallow arch with elastic rotational constraints under uniform radial load can be expressed as δW =
Summary
Graphene-related research and application development are hot topics today, and graphene-based composites have become an important direction in application field of graphene [1,2,3,4]. Shen et al [12] introduced the concept of functional grading to reinforced composites, and noted that adding a reinforcing material non-uniformly at a certain gradient significantly enhanced the properties of a composite Using this concept, Yang et al [13] examined the post-buckling behavior of a functionally graded multilayer graphene-reinforced nanocomposite beam. Furthering this investigation, Song and Kitipornchai et al [15,16,17] thoroughly studied the dynamic stability of functionally graded multilayer graphene-reinforced composite beams and plates Due to their advantageous properties, the application of structural units that are composed of graphene-reinforced materials is of great importance in weight-sensitive engineering projects, such as aerospace engineering and long-span buildings. This study investigates the effects of the distribution pattern, mass fraction, and geometric dimensions of GPLs, as well as constraint stiffness, on the buckling behavior of elastically constrained FG-GPLRC shallow arches
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
