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金属材料在复杂应力状态下的塑性流动特性及本构模型

秦彩芳 许泽建 窦旺 杜雨田 黄风雷

秦彩芳, 许泽建, 窦旺, 杜雨田, 黄风雷. 金属材料在复杂应力状态下的塑性流动特性及本构模型[J]. 爆炸与冲击. doi: 10.11883/bzycj-2021-0308
引用本文: 秦彩芳, 许泽建, 窦旺, 杜雨田, 黄风雷. 金属材料在复杂应力状态下的塑性流动特性及本构模型[J]. 爆炸与冲击. doi: 10.11883/bzycj-2021-0308
QIN Caifang, XU Zejian, DOU Wang, DU Yutian, HUANG Fenglei. Plastic flow properties and constitutive model of metallic materials under complex stress states[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2021-0308
Citation: QIN Caifang, XU Zejian, DOU Wang, DU Yutian, HUANG Fenglei. Plastic flow properties and constitutive model of metallic materials under complex stress states[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2021-0308

金属材料在复杂应力状态下的塑性流动特性及本构模型

doi: 10.11883/bzycj-2021-0308
基金项目: 国家自然科学基金(11772062,12072040)。
详细信息
    作者简介:

    秦彩芳(1996- ),女,硕士研究生,3025230852@qq.com

    通讯作者:

    许泽建(1979- ),男,博士,副教授,xuzejian@bit.edu.cn

  • 中图分类号: O347.3

Plastic flow properties and constitutive model of metallic materials under complex stress states

  • 摘要: 工程应用中,金属材料和结构往往处于复杂应力状态。材料的塑性行为会受到应力状态的影响,要精确描述材料在复杂应力状态下的塑性流动行为,必须在本构模型中考虑应力状态效应的影响。然而,由于在动态加载下材料的应变率效应和应力状态效应相互耦合、难以分离,给应力状态效应的研究和模型的建立造成很大困难。通过对Ti-6Al-4V钛合金材料开展不同加载条件下的力学性能测试,提出了一个包含应力三轴度和罗德角参数影响的新型本构模型,并通过VUMAT用户子程序嵌入ABAQUS/Explicit软件。分别采用新提出的塑性模型和J-C模型对压剪复合试样的动态实验进行了数值模拟。结果表明,新模型不仅在对材料本构曲线的拟合方面具有较强的优势,而且由该模型所得到的透射脉冲和载荷-位移曲线均更加准确。因此,该模型能够更精确地描述和预测金属材料在复杂应力状态下的塑性流变行为。
  • 图  1  主应力空间几何表示

    Figure  1.  Geometric representation of the principal stress space

    图  2  Ti-6Al-4V材料的原始组织

    Figure  2.  Microstructure of Ti-6Al-4V material

    图  3  试样结构示意图(单位:mm)

    Figure  3.  Schematic diagram of the test specimens(unit: mm)

    图  4  不同应力状态下的等效应力-等效应变曲线

    Figure  4.  The equivalent stress-equivalent strain curves under different stress states

    图  5  新模型屈服面

    Figure  5.  The yield surface of the new model

    图  6  新模型屈服轨迹图

    Figure  6.  The yield locus of the new model

    图  7  剪切试验结果与新模型对比

    Figure  7.  Comparison of the shear test results with the new model

    图  8  压缩试验结果与两种模型(JC模型和新模型)结果比较

    Figure  8.  Comparison of the compression test results with the JC model and the new model

    图  9  拉伸试验结果与两种模型(JC模型和新模型)结果比较

    Figure  9.  Comparison of the tension test results with the JC model and new model

    图  10  15°压剪试样和有限元模型示意图

    Figure  10.  Schematic diagrams of a 15° compression-shear specimen and the finite element model

    图  11  模拟结果(J-C模型和新模型)与实验曲线对比

    Figure  11.  Comparison of the experimental and simulation results (J-C model and new model)

    图  12  模拟结果与实验曲线对比

    Figure  12.  Comparison of the experimental and simulation results

    图  13  压剪试样在不同加载时刻的等效应力分布

    Figure  13.  Equivalent stress evolutions of the compression-shear specimen in the simulation

    表  1  新模型材料常数

    Table  1.   Material constants of the new model

    A/MPaB/MPanCm$ {c_\eta } $$ {\eta _0} $$ {c_1} $$ {c_2} $
    971.59362.390.12980.01600.58390.050100.16920.4264
    下载: 导出CSV

    表  2  不同应力状态下新模型和JC模型(根据剪切试验结果建立)与拉压试验结果的平均误差

    Table  2.   Average error of the new and JC models under different stress states compared with the experimental results

    应力状态准静态加载误差(%)动态加载误差(%)
    JC modelNew modelJC modelNew model
    单轴压缩25.23.721.13.9
    单轴拉伸10.51.59.74.8
    下载: 导出CSV

    表  3  有限元分析中各部件的物理参数

    Table  3.   Physical parameters of each component in the finite element analysis

    部位材料ρ/
    (g·mm−3)
    E/
    GPa
    $ \mu$λ/
    (W·m−1·°C)
    c/
    (J·kg−1·°C)
    入射杆/透射杆18Ni钢8.01900.3
    试样Ti-6Al-4V4.431140.336.7586
    下载: 导出CSV
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  • 收稿日期:  2021-07-20
  • 修回日期:  2021-12-06
  • 网络出版日期:  2022-04-06

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