Abstract

Thermal buckling analysis of annular/circular microplates, which are made from functionally graded Graphene nanoplatelets (GNPs) reinforced porous nanocomposite is presented in this work. The microstructure is located on Pasternak elastic foundation, and its properties vary through the thickness direction according to the specific functions. Under the Gaussian random field scheme for closed-cell cellular solids and employing Halpin-Tsai and extended rule of mixture micromechanics models, effective properties of the structure are determined. Also, the modified couple stress theory is used to predict the results in the micro dimension. The virtual displacement principle and generalized differential quadrature method (GDQM) are chosen to derive and solve the governing equations, respectively. Previously published work is used to validate the results in a simpler state, and effects of the most important parameters on the critical buckling temperature are investigated. It is found that increasing the GNPs' weight fraction up to one percent leads the results to reduce about 7∼15 percent while increasing the porosity coefficient up to 0.7 improves thermal buckling behavior about 20∼50 percent contrary to expectations. The results of this study can be the benchmark for future studies. Since metal foams are widely used in different areas of technology and industries such as aerospace engineering, reinforcing them with nano-fillers makes them more applicable; therefore, outcomes of this study help to design and create the engineering structures with improved properties.

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