Liu Yunfei, Wang Yanqing
Department of Mechanics, Northeastern University, Shenyang 110819, China.
Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University, Shenyang 110819, China.
Materials (Basel). 2019 Mar 2;12(5):729. doi: 10.3390/ma12050729.
In this research, the vibration and buckling of three-dimensional graphene foam (3D-GrF) microshells are investigated for the first time. In the microshells, three-dimensional graphene foams can distribute uniformly or non-uniformly through the thickness direction. Based on Love's thin shell theory and the modified couple stress theory (MCST), size-dependent governing equations and corresponding boundary conditions are established through Hamilton's principle. Then, vibration and axial buckling of 3D-GrF microshells are analyzed by employing the Navier method and Galerkin method. Results show that the graphene foam distribution type, size effect, the foam coefficient, the radius-to-thickness ratio, and the length-to-radius ratio play important roles in the mechanical characteristics of 3D-GrF microshells.
在本研究中，首次对三维石墨烯泡沫（3D-GrF）微壳的振动和屈曲进行了研究。在微壳中，三维石墨烯泡沫可沿厚度方向均匀或非均匀分布。基于洛夫薄壳理论和修正偶应力理论（MCST），通过哈密顿原理建立了尺寸相关的控制方程和相应的边界条件。然后，采用纳维方法和伽辽金方法分析了3D-GrF微壳的振动和轴向屈曲。结果表明，石墨烯泡沫分布类型、尺寸效应、泡沫系数、半径与厚度比以及长度与半径比在3D-GrF微壳的力学特性中起着重要作用。
