循环载荷下随动硬化模型的数值迭代算法

Numerical iterative algorithm of kinematic hardening model under cyclic loadings

在Von-Mises屈服准则及正交流动准则的前提下,建立了循环载荷下叠加型A-F(Armstrong-Frederick)非线性随动强化模型的迭代算法,并根据塑性应变增量的收敛控制实现内部的平衡迭代。为验证本文数值方法的正确性,以Chaboche和Ohno-Abde-Karim随动硬化模型为例,将本文方法的计算结果与通用有限元软件ANSYS的分析结果及试验数据进行了比较,均吻合良好,验证了本文算法的可靠性。

The numerical iterative algorithm of the superposed Armstrong-Frederick nonlinear kinematic hardening model under cyclic loadings was investigated based on the Mises yielding criterion and the orthogonal flow rule. The increment of plastic strain was used to attain the equilibrium and convergence of governing equations. To verify the validity of the proposed iterative algorithm,Chaboche and Ohno-Ab- del-Karim kinematic hardening models were calculated based on the iterative algorithm,and the analyzed results were in good agreement with those of obtained by finite element method and experimental data, which indicates the reliability of the proposed iterative algorithm.