Constitutive Equations for Graphene Based on Anisotropic Theory

Abstract:

The constitutive equations, describing the relations between stresses and strains in the single layer graphene, were obtained based on the anisotropic theory. The equations showed that (1) there are 3 nonzero stress components in graphene for it is in the plane stress state; (2) there are 4 elastic constants independent in the constitutive equations describing the material properties of graphene; and (3) the normal stress merely results in normal strains if graphene in simple tension in primary directions but generates the normal strains and shear strains if in non-primary directions. In addition, the Hamilton method determining the 4 elastic constants in constitutive equations of graphene was introduced.

• Periodical: Advanced Materials Research (Volumes 314-316)
• Pages: 1268-1272
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.314-316.1268
• Online since: August 2011
• Authors: Shu Hao Ban, Ai Ping Hu, Xue Dong Jiang, Xiao Yan Li
• Keywords: Anisotropic Theory, Constitutive Equation, Graphen, Young's Modulus

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