ABSTRACT

A single layer of carbon (C) atoms tightly packed into a two-dimensional hexagonal lattice makes up agraphene monolayer, which is the basic building block for bulk graphite and carbon nanotubes (CNTs). Since isolation and observation of monolayer graphene were šrst reported in 2005 [Novoselov et al. 2005], extensive studies have been devoted to exploit the unique two-dimensional (2D) lattice structures of graphene for a large variety of applications. Among others, the mechanical properties

14.1 Nonlinear Continuum Mechanics of Monolayer Graphene .......................... 485 14.1.1 Kinematics: Stretch and Curvature ..................................................486 14.1.2Stress and Moment Tensors ..............................................................488 14.1.3Tangent Modulus .............................................................................. 489 14.1.4Edge Effects ......................................................................................490 14.1.5 A General Framework ......................................................................490