Monte Carlo-Based Finite Element Method for the Study of Randomly Distributed Vacancy Defects in Graphene Sheets

Table 1

Parameters of mechanical properties and natural frequencies in [34–42] and the present study.

Reference	Simulation method	Elastic modulus (TPa)	Poisson’s ratio	1 (THz)	2 (THz)	3 (THz)	4 (THz)
Gupta et al. [34]	MD	1.272	0.147	1.7581	4.0706	4.7201	7.0325
Lu and Huang [35]	MD	0.725	0.398	1.4311	3.3135	3.8422	5.7246
Sadeghzadeh and Khatibi [36]	MD + FDD	1.050	0.170	1.6030	2.4970	2.5980	3.5770
Liu et al. [37]	DFT	1.050	0.186	1.6081	3.7232	4.3172	6.4323
Kudin et al. [38]	DFT	1.029	0.149	1.5818	3.6623	4.2466	6.3271
Wei et al. [39]	DFT	1.039	0.169	1.5946	3.6921	4.2811	6.3786
Cadelano et al. [40]	TB	0.931	0.310	1.5649	3.6232	4.2012	6.2595
Zhou et al. [41]	MM	1.167	0.456	1.8716	4.3334	5.0248	7.4865
Reddy et al. [42]	MM	0.669	0.416	1.3869	3.2111	3.7234	5.5475
Present	SFEM	1.200	0.200	1.7282	3.2925	3.7442	5.1892