Quantized fracture mechanics

摘要: A new energy-based theory, quantized fracture mechanics (QFM), is presented that modifies continuum-based mechanics; stress- and strain-based QFM analogs are also proposed. The differentials in Griffith's criterion substituted with finite differences; the implications remarkable. Fracture of tiny systems a given geometry type loading occurs at ‘quantized’ stresses well predicted by QFM: strengths compared experimental results on carbon nanotubes, β-SiC nanorods, α-Si3N4 whiskers, polysilicon thin films; molecular mechanics/dynamics simulation nanotubes graphene cracks holes, statistical mechanics-based simulations two-dimensional spring networks. self-consistent, agreeing to first-order linear elastic (LEFM), second-order non-linear (NLFM). For vanishing crack length predicts ideal strength agre...