グラフェンのナノ非線形特異応力場における破壊力学基準に関する分子静力学解析

抄録

In fracture mechanics, materials are treated as continuum models and the fracture criteria are evaluated by strength of singular stress field. Nanometer scale materials have nanometer scale singular stress fields in which discreteness of atoms has significant effect. It is reported that linear fracture has lower applicable limitation in range of crack length. In this research, we conduct molecular statics about crack propagation on nanoscale graphene which shows nonlinear deformation. We find that fracture criteria based on nonlinear fracture mechanics is applicable in small crack where linear fracture mechanics is not applicable. We investigate the lower limit of fracture criteria based on nonlinear fracture mechanics. Furthermore, we show new criteria based on discreteness of atoms which is applicable in every scale crack.