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对多轴应力状态下的循环本构模型进行修正,在引入加载历史参数演化方程来刻画材料非比例特性的塑性模型基础上,通过在背应力演化方程中加入额外非线性项,以实现对金属材料非Massing现象的描述;利用隐式积分方法推导出新的应力和背应力积分方程以及整体迭代所需的一致切线刚度矩阵,借助有限元软件ABAQUS的用户子程序UMAT,将模型嵌入有限元分析软件中,对具有典型非Massing现象的多晶铜材料进行数值模拟,并将所得模拟结果与实验结果加以比较.结果表明,两者较吻合.
The cyclic constitutive model under multi-axial stress is modified. Based on the plastic model which describes the non-proportional behavior of materials by introducing the evolution equation of loading history parameters, an additional nonlinear term is added to the evolution equation of back stress to realize the optimization of metal The non-Massing phenomenon of materials is deduced. The new integral equation of stress and back stress and the uniform tangent stiffness matrix for the whole iteration are deduced by using the implicit integration method. With the user subroutine UMAT of the finite element software ABAQUS, the model is embedded into the finite element analysis In the software, the numerical simulation of polycrystalline copper with typical non-Massing phenomenon is carried out, and the simulation results are compared with the experimental results. The results show that the two are in good agreement.