各向异性非线性随动硬化本构模型的建立及应用

Establishment and Application of an Anisotropic Nonlinear Kinematic Hardening Constitutive Model

基于平面应力假设,采用HILL48各向异性屈服准则和A-F非线性随动硬化模型及塑性流动法则建立一种各向异性非线性随动硬化本构模型。运用向后欧拉回映算法,通过Fortran语言编写UMAT子程序,将该本构模型嵌入到ABAQUS软件中。以板料经过拉深筋的循环加载问题为研究对象,利用开发的本构模型、ABAQUS软件中的各向同性屈服及随动硬化模型对板料经过拉深筋的变形过程进行数值模拟分析,得到切向应力-应变循环变化曲线。对比试验结果,开发的弹塑性本构模型的计算精度更高,验证了所建本构模型的有效性,该模型可以应用于板料反向加载变形行为研究。

Based on the assumption of plane stress,an anisotropic nonlinear kinematic hardening constitutive model has been established according to HILL48 anisotropic yield criterion,non-linear kinematic hardening theory of ARMSTRONG-FREDERICK and plastic flow theory.The corresponding UMAT subroutine of ABAQUS for this constitutive model is compiled by Fortran,in which the backward Euler return mapping algorithm is adopted.A process of sheet metal being pulled through drawbead are simulated using the developed constitutive model and two constitutive models in ABAQUS with isotropic yield criterion and kinematic hardening theory respectively,then corresponding tangential stress-strain cycle curves are received.On comparison,the result of applying the developed constitutive model is closer to the experimental result.The developed elasto-plastic constitutive model is credible,which could be applied to research about the reverse load deformation behavior of sheet metal.