Abstract
Peridynamic (PD) theory is a new nonlocal continuum mechanics formulation which has great advantages over the classical continuum mechanics (CCM)–based methods and molecular dynamic (MD) simulation methods. Particularly, PD theory is very advantageous in solving discontinuity-related problems such as crack propagations. This chapter shows the applications of PD theory at nano-scale. Especially, the fracture of nano-scale single layer graphene sheets (SLGS) is simulated and analyzed by employing the PD theory. By introducing a coarse-grain (CG) idea in the PD simulations of large nano-scale SLGS, a PD-CG model is presented as well. In this chapter, the results demonstrate the powerful capability and high efficiency of PD theory in the simulations of large nano-scale systems.
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