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In this study, a multi-grid sampling multi-scale (MGSMS) method is proposedby coupling with finite element (FEM), extended finite element (XFEM) andmolecular dynamics (MD) methods.Crack is studied comprehensively frommicroscopic initiations to macroscopic propagation by MGSMS method. In order toestablish the coupling relationship between macroscopic and microscopic model,multi-grid FEM is used to transmit the macroscopic displacement boundaryconditions to the atomic model and the multi-grid XFEM is used to feedback themicroscopic crack initiations to the macroscopic model. Moreover, an imagerecognition based crack extracting method is proposed to extract the crackcoordinate from the MD result files of efficiently and the Latin hypercubesampling method is used to reduce the computational cost of MD. Numericalresults show that MGSMS method can be used to calculate micro-crack initiationsand transmit it to the macro-crack model. The crack initiation and propagationsimulation of plate under mode I loading is completed.

A multi-grid sampling multi-scale method for crack initiation and propagation