scholarly journals Three-dimensional elastic stresses in circular bar with annular groove in couple-stress theory. (Axisymmetric torsion problem)

1987 ◽  
Vol 53 (488) ◽  
pp. 802-808
Author(s):  
Michiya KISHIDA ◽  
Kazuaki SASAKI ◽  
Satoru ISHII
Materials ◽  
2019 ◽  
Vol 12 (5) ◽  
pp. 729 ◽  
Author(s):  
Yunfei Liu ◽  
Yanqing Wang

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.


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