The Young's moduli of three types of carbon allotropes: a molecular mechanics model and a finite-element method.
The close-form expressions of the Young's moduli and the fracture stresses of cyclicgraphene, graphyne and supergraphene along their armchair and zigzag directions are derived based on a molecular mechanics model. Checking against present finite-element calculations of their Young's moduli shows that the explicit solutions are reasonable. The obtained analytical solutions should be of great help for understanding the mechanical properties of the graphene-like materials.
Jiangsu Key Laboratory of Advanced Food Manufacturing Equipment and Technology , Jiangnan University , 214122 Wuxi, People's Republic of China.
Bo
B
Zou
Jiangsu Key Laboratory of Advanced Food Manufacturing Equipment and Technology , Jiangnan University , 214122 Wuxi, People's Republic of China.
Jianxiang
J
Shen
Jiangsu Key Laboratory of Advanced Food Manufacturing Equipment and Technology , Jiangnan University , 214122 Wuxi, People's Republic of China.
Peishi
P
Yu
Jiangsu Key Laboratory of Advanced Food Manufacturing Equipment and Technology , Jiangnan University , 214122 Wuxi, People's Republic of China.
Junhua
0000-0003-4566-4778
J
Zhao
Young's modulus; carbon allotropes; finite-element method; molecular mechanics model