关于半隐式向后Euler本构积分算法的改进

在相关联流动法则与各向同性强化的条件下,对弹塑性有限元中半隐式向后Euler本构积分算法进行改进,改进后的算法,对较大的时间步长,调整后应力仍能返回到更新的屈服面上,从而加强了算法对时间步长的适应能力。对于特殊屈服准则,如D-P准则,本文算法本质上为半隐式径向返回。最后给出了算例说明。

An Improvement for Semi-implicit Back Euler Constitutive Integration Algorithm

Under the condition of associative flow rule and isotropic hardening,this paper focuses on the improvement of the style of stress return in the elastic-plastic finite element constitutive integration.The algorithm modificatied poses the advantage that,as to relatively large time step size,the stress rectified will still get back to the new yield surface,soasto enhance the algorithm's adaption to the time step size.More than that,we will find out that the algorithm is just semi-implicit radial return based on some spcific yield criterion.At last,some examples has been presented.