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增強假設變形梯度有限元方法穩定性計算

Stability of the enhanced assumed strain finite element method

  • 摘要: 討論了非協調增強假設變形梯度有限元的基本理論、所采用的本構關系和有限元列式.為了克服原先由Simo建議的方法中所固有的缺陷,即在模擬壓縮變形時容易出現奇異能量模式而導致計算失穩甚至崩潰,對原方法中有關內變量和應力更新算法進行了改進.計算結果表明,改進的方法在模擬壓縮和拉伸模型時,具有較好的計算穩定性.

     

    Abstract: The basic theory of the Enhanced Assumed Strain Modes (EASM) and the corresponding constitutive relationship as well as finite element formulation were addressed. In order to overcome the deficiency of the original method proposed by Simo, i.e., the Hourglass modes appear in the case of compression, algorithms for updating stresses and interior variables were developed by using an optimal post-process technique. It were proved from numerical results that the improved EASM is of good stability especially in the case of large compressive situation being involved.

     

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