Simulation study of notch on crack propagation and natural frequency evolution of cantilever plate
This paper focuses on the numerical investigation of crack propagation and natural frequency evolution of cantilever plates with different initial notch lengths.First,a combined simulation analysis method based on ABAQUS-FRANC 3D is proposed.ABAQUS is employed for finite element analysis of the structure,while FRANC 3D conducts crack propagation simulation based on numerical results from ABAQUS.Second,the relationship between initial notch length and crack propagation behavior,as well as the evolution of natural frequency,is evaluated.Our results indicate for cantilever plates,a larger initial notch length leads to a faster attenuation of natural frequency with the increase of crack propagation length.The rate of change of natural frequency with respect to crack propagation length is divided into three stages:slow increase stage,constant increase stage,and rapid increase stage.The rate of natural frequency change exhibits a logarithmic linear relationship with stress intensity factor,similar to the crack propagation rate curve.Finally,the influence of stress concentration factor induced by notches on the fatigue life of cantilever plates is assessed,showing the impact on fatigue life in conformity with an exponential function model.
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