锻压技术

高强度钢分段线性硬化平面应变UMAT开发及应用

英文标题：Development of piecewise linear hardening plane strain UMAT and its application for high strength steel

作者：李荣启龚志辉

单位：湖南大学

分类号：O344；TG302

出版年,卷(期):页码：2019,44(6):145-149

摘要：

基于分段线性硬化假设和J2流动法则，建立了某高强度钢的弹塑性本构模型。采用隐式向后Euler径向返回算法进行应力更新，推导了材料平面应变Jacobian矩阵，编写了相应的适合冲压成形的分段线性硬化高强度钢平面应变用户材料子程序UMAT_PL。分别使用ABAQUS自带的各向同性硬化本构模型、利用最小二乘法拟合的线性硬化模型用户材料子程序UMAT_L以及分段线性硬化平面应变用户材料子程序UMAT_PL，对某高强度钢槽形件进行了冲压成形分析。结果表明，利用该分段线性硬化UMAT_PL获得的应力计算结果，和ABAQUS自带的各向同性硬化本构模型得到的应力计算结果是一致的。与线性硬化模型相比，分段线性硬化模型能获得更加满意的应力计算精度。

A elastic-plastic constitutive model of high strength steel was developed based on the piecewise linear hardening hypothesis and J2 flow rule, and the stress was updated by the implicit backward Euler radial return algorithm. Then, the Jacobian matrix of material plane strain was derived, and the corresponding user material subroutine UMAT_PL suitable for the piecewise linear hardening high-strength steel plane strain in the stamping forming was complied. Furthermore, the stamping forming of high-strength steel trough part was analyzed by the isotropic hardening constitutive model of ABAQUS, the user material subroutine UMAT_L of the linear hardening model fitted by the least square method and the user material subroutine UMAT_PL of piecewise linear hardening plane strain. The result shows that the stress calculated by the piecewise linear hardening UMAT-PL is consistent with the stress calculated by the isotropic hardening constitutive model built-in ABAQUS, and the piecewise linear hardening model can predict stress distribution more accurately compared with the linear hardening model.

基金项目：

国家自然科学基金资助项目（51475155）

李荣启（1972-），男，博士，讲师 E-mail：287293916@qq.com 通讯作者：龚志辉（1974-），男，博士，副教授 E-mail：gzhaa@163.com

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