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统一粘塑性本构方程一致切线刚度矩阵的研究

王庆五 杨晓光 石多奇

王庆五, 杨晓光, 石多奇. 统一粘塑性本构方程一致切线刚度矩阵的研究[J]. 航空动力学报, 2007, 22(11): 1898-1902.
引用本文: 王庆五, 杨晓光, 石多奇. 统一粘塑性本构方程一致切线刚度矩阵的研究[J]. 航空动力学报, 2007, 22(11): 1898-1902.
WANG Qing-wu, YANG Xiao-guang, SHI Duo-qi. Research on consistent tangent modulus for unified viscoplastic constitutive equations[J]. Journal of Aerospace Power, 2007, 22(11): 1898-1902.
Citation: WANG Qing-wu, YANG Xiao-guang, SHI Duo-qi. Research on consistent tangent modulus for unified viscoplastic constitutive equations[J]. Journal of Aerospace Power, 2007, 22(11): 1898-1902.

统一粘塑性本构方程一致切线刚度矩阵的研究

Research on consistent tangent modulus for unified viscoplastic constitutive equations

  • 摘要: 统一粘塑性本构方程是微分或增量形式的方程组,内变量是隐式的,一致切线刚度矩阵很难给出明确的表达式.针对包含热恢复项的统一的粘塑性本构方程,在向后欧拉积分的基础上,为本构模型推导和确定了一个新的考虑率相关塑性的一致切线刚度矩阵(Consistent tangent modulus)的表达式,并在通用的有限单元分析程序MARC中实现.通过一些算例的有限元分析,检验了一致切线刚度矩阵的可行性.

     

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出版历程
  • 收稿日期:  2006-11-14
  • 修回日期:  2007-03-10
  • 刊出日期:  2007-11-28

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