Narrow Results

This paper deals with a-finite element method (FEM) based on a V-shaped notch corner tip stresses to solve generalized stress intensity factors (GSIFs) in 2D elastic bodies. The method does not need extremely refined meshes and special elements accounting for the analytical form of singularities around the V-shaped notch corner tip. The generalized stress intensity factors of the V-shaped notch problems are evaluated from the ratios of FEM stress values at the notch corner tip for a given problem and a reference one. Several numerical examples show that present method is effective and applicable to dealing with the V-shaped notch problems.

Molecular dynamics (MD) simulations are performed to study the fracture behavior of armchair and zigzag graphene sheets with V-shaped notches subjected to tensile loading. The effects of temperature and notches depth on the fracture characteristics of the graphene sheets are examined. The results show that the cracks propagate from the notch tip along the direction perpendicular to the loading axis for armchair sheets. This is different from the zigzag graphene propagating along the direction of 45° from the loading axis. In addition, the fracture energy of zigzag graphene sheets is larger than armchair one at the same temperature condition.