 
								A Theoretical Framework of Mechanical Properties of the Monolayer Graphene
								
									
										
											
											
												Mohammad Imran Aziz,
											
										
											
											
												Nafis Ahmad
											
										
									
								 
								
									
										Issue:
										Volume 8, Issue 4, December 2022
									
									
										Pages:
										43-47
									
								 
								
									Received:
										11 December 2022
									
									Accepted:
										5 January 2023
									
									Published:
										17 January 2023
									
								 
								
								
								
									
									
										Abstract: For decades, scientists and researchers believed that two-dimensional (2D) crystals are thermodynamically unstable. Graphene was the first two dimensional material that has successfully been exfoliated from bulk graphite in 2004. We derive interatomic potentials for Graphene for two dimensional lattice structure and using Quasi-harmonic approximations, Mechanical Properties of monolayer Graphene were investigated. The compressibility, hardness, ductility, toughness, brittleness and bonding nature of the Graphene are too well connected with the SOECs. Thus, comprehensive studies on elastic properties are important to show the potential of Graphene in engineering applications. Present studies of monolayer Graphene have been carried out to investigate the elastic constants such as Young’s modulus, Poisson’s ratio, bulk modulus and shear modulus. With the help of elastic constants, the values longitudinal and transverse sound velocities have been computed. We, at present also find the phonon group velocities at Г points along symmetry directions by PYTHON Program. Mechanical Properties were calculated by PYTHON program is agreed very close with the result of other researchers.
										Abstract: For decades, scientists and researchers believed that two-dimensional (2D) crystals are thermodynamically unstable. Graphene was the first two dimensional material that has successfully been exfoliated from bulk graphite in 2004. We derive interatomic potentials for Graphene for two dimensional lattice structure and using Quasi-harmonic approximati...
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