Abstract: A new adaptive finite element method coupling withmultiscale simulation for material computation is proposed in this paper.The early behaviors of the material damage are simulated by BSM thatcoupling microscale MD with macroscale FE, in which the macroscale finiteelement computation has been generalized to irregular triangular meshes.Once material fracture is formed, its further development is only describedby a macroscale model with the adaptive finite element method. A posteriorierror estimator was proposed with the variational multiscale theory.Meanwhile, the adaptive meshes were based on the residual distribution ofthe coarse scale and the Green's function in the fine scale. A given failurecriteria is used to determine the split of the mesh. Efficiency of theproposed method is validated by numerical experiments.