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一致切线刚度法在三维弹塑性有限元分析中的应用

CONSISTENT TANGENT STIFFNESS METHOD AND ITS APPLICATION TO THREE-DIMENSIONAL ELASTOPLASTIC FINITE ELEMENT ANALYSIS

  • 摘要: 本文提出了一致切线刚度法,并把它应用于三维弹塑性有限元分析问题。从而解决了增量迭代弹塑性有限元分析方法中长期存在的速度慢、精度低问题,一致切线刚度法满足加卸载互补准则,即没有应力漂移现象,具有一阶精度、二阶迭代收敛速度、计算量少和无条件稳定等优点,借助算例对一致切线刚度法和传统切线刚度法(包括路径相关和路径无关两种结构变量更新格式)从计算精度、迭代收敛速度和计算量等几方面进行了比较。

     

    Abstract: A method,called the Consistent Tangent Stiffness Method (CTSM),isproposed in this paper.we apply CTSM to the solution of three-dimensional elastoplas-tic problems.The method satisfies the complementary criteria of loading and unloading.and furthermore it is characterized by the advantages of preserving the asymptotic rateof quadratic convergency,consuming less computational tinie, holding the first order ac-curacy and unconditional stability.The problems of slow convergence and low accuracy,which have exist...

     

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