金属薄板厚向异性系数R值的确定方法及其在后继屈服中的演化

doi:10.3901/JME.2022.06.091

机械工程学报 ›› 2022, Vol. 58 ›› Issue (6): 91-100.doi: 10.3901/JME.2022.06.091

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金属薄板厚向异性系数R值的确定方法及其在后继屈服中的演化

穆振凯,赵军,于高潮,黄学颖,孙红磊

先进锻压成形技术与科学教育部重点实验室(燕山大学) 秦皇岛 066004

收稿日期:2021-05-28 修回日期:2021-12-20 出版日期:2022-03-20 发布日期:2022-05-19
通讯作者: 赵军,男,1957年出生,博士,教授,博士研究生导师。主要研究方向为板管材成形理论及工艺、智能冲压、塑性成形理论。E-mail:zhaojun@ysu.edu.cn
作者简介:穆振凯,男,1990年出生,博士研究生。主要研究方向为金属薄板各向异性本构模型。E-mail:mzk@stumail.ysu.edu.cn
基金资助:
国家自然科学基金(51975509，52005431)和河北省青年科学基金(E2020203086)资助项目。

Determination Methods of Anisotropic Coefficient R-values of Sheet Metal and Its Evolution in Subsequent Yielding

MU Zhenkai, ZHAO Jun, YU Gaochao, HUANG Xueying, SUN Honglei

Key Laboratory of Advanced Forging & Stamping Technology and Science (Yanshan University), Ministry of Education of China, Qinhuangdao 066004

Received:2021-05-28 Revised:2021-12-20 Online:2022-03-20 Published:2022-05-19

摘要/Abstract

摘要： 冷轧金属薄板的厚向异性系数R值通常被当做常数用于确定本构模型的各向异性参数，为了提高各向异性本构模型的预测精度，必须考虑R值的演化。以低碳钢材料为研究对象，对比分析了现有三种R值求解方法的使用条件及其局限性。在此基础上，提出了一种变R值的逆向求解方法，并给出了在二次函数和指数函数条件下的解析模型。揭示了不同方法计算的R值的显著差异是由塑性应变曲线斜率的计算误差引起的。考虑金属薄板的面内各向异性，基于塑性功等效原理，给出了DC04 R值随塑性功和方位角的演化。结果表明，对于低碳钢材料，随着单向拉伸塑性应变的增加，R值的演化规律的总趋势是下降的。此外，该R值逆向确定方法不仅具有较高的求解精度，且表达形式简单，更便于考虑后继屈服各向异性演化的本构模型的二次开发和应用。

关键词: 冷轧金属薄板, 单向拉伸, 厚向异性系数, 各向异性, 本构模型, 后继屈服

Abstract: The anisotropic coefficient R-value of cold rolled sheet metal is usually used as a constant to determine the anisotropic parameters of constitutive model. In order to improve the prediction accuracy of anisotropic constitutive model, the evolution of R-values must be considered. Taking low carbon steel plate as the research object, the applicable conditions and limitations of three existing methods for determining variable R-values are compared and analysed. On this basis, a reverse solution method for variable R-values is proposed, and the analytical models under the condition of quadratic function and exponential function are given. It is revealed that the significant difference of R-values calculated by different methods is caused by the calculation error of the slope of the strain curve. Considering the in-plane anisotropy of the sheet metal, based on the principle of equal plastic work, the evolution of R-values of DC04 with plastic work and angle is given. The results show that, for low carbon steel, the evolution law of R-values show a downward trend with the increase of uniaxial tensile plastic strain. In addition, the proposed method not only has high accuracy, but also has simple expression, which is more convenient for the secondary development and application of the constitutive model considering the anisotropic evolution in subsequent yielding.

Key words: cold rolled sheet metal, uniaxial tensile, anisotropic coefficient, anisotropy, constitutive model, subsequent yielding

中图分类号:

TG301

穆振凯, 赵军, 于高潮, 黄学颖, 孙红磊. 金属薄板厚向异性系数R值的确定方法及其在后继屈服中的演化[J]. 机械工程学报, 2022, 58(6): 91-100.

MU Zhenkai, ZHAO Jun, YU Gaochao, HUANG Xueying, SUN Honglei. Determination Methods of Anisotropic Coefficient R-values of Sheet Metal and Its Evolution in Subsequent Yielding[J]. Journal of Mechanical Engineering, 2022, 58(6): 91-100.

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金属薄板厚向异性系数R值的确定方法及其在后继屈服中的演化

Determination Methods of Anisotropic Coefficient R-values of Sheet Metal and Its Evolution in Subsequent Yielding

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