Nonlinear bending of porous-core sandwich frames with GPL reinforcement face layers
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https://doi.org/10.15625/0866-7136/24360Keywords:
nonlinear bending, sandwich frames, porous material, GPL reinforcement composite, shear-locking, Timoshenko beamAbstract
This article presents a numerical investigation into the nonlinear bending behavior of sandwich frames composed of a functionally graded (FG) porous core and graphene platelet-reinforced composite (GPLRC) face layers. Using Timoshenko beam theory and von Kármán geometric nonlinearity, a mathematical model for frames that accounts for various GPL distribution patterns is derived. To ensure numerical efficiency and eliminate the shear-locking problem, coupled {high-order} shape functions are employed to derive a beam element. Using this element, the discretized nonlinear equilibrium equation is established and solved by an iterative procedure. The accuracy of the proposed frame model is rigorously validated against existing data in the literature, showing excellent agreement across specific cases. Various frames are analyzed to highlight the significant {impacts} of several key parameters, such as the porosity coefficient and the weight fraction of GPLs, on the nonlinear responses. The influence of the GPL distribution patterns on the nonlinear behavior of the sandwich frames is also explored and discussed.
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