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Yun Xu, Jun Chen, Xijun Wei. A new adaptive finite element method for multiscale dynamic simulation[J]. Chinese Journal of Theoretical and Applied Mechanics, 2009, 41(5): 722-729. DOI: 10.6052/0459-1879-2009-5-2008-024
Citation: Yun Xu, Jun Chen, Xijun Wei. A new adaptive finite element method for multiscale dynamic simulation[J]. Chinese Journal of Theoretical and Applied Mechanics, 2009, 41(5): 722-729. DOI: 10.6052/0459-1879-2009-5-2008-024
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A new adaptive finite element method for multiscale dynamic simulation

  • Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, ChinaLaboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, ChinaLaboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

  • Received Date: January 13, 2008
  • Revised Date: January 04, 2009
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  • 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.
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