考虑围压效应的冻结砂土动态本构模型研究

马冬冬 汪鑫鹏 马芹永 周志伟 杨毅 袁璞

马冬冬, 汪鑫鹏, 马芹永, 周志伟, 杨毅, 袁璞. 考虑围压效应的冻结砂土动态本构模型研究[J]. 爆炸与冲击, 2023, 43(4): 043101. doi: 10.11883/bzycj-2022-0137
引用本文: 马冬冬, 汪鑫鹏, 马芹永, 周志伟, 杨毅, 袁璞. 考虑围压效应的冻结砂土动态本构模型研究[J]. 爆炸与冲击, 2023, 43(4): 043101. doi: 10.11883/bzycj-2022-0137
MA Dongdong, WANG Xinpeng, MA Qinyong, ZHOU Zhiwei, YANG Yi, YUAN Pu. A study of dynamic constitutive model of frozen sandy soil considering confining pressure effect[J]. Explosion And Shock Waves, 2023, 43(4): 043101. doi: 10.11883/bzycj-2022-0137
Citation: MA Dongdong, WANG Xinpeng, MA Qinyong, ZHOU Zhiwei, YANG Yi, YUAN Pu. A study of dynamic constitutive model of frozen sandy soil considering confining pressure effect[J]. Explosion And Shock Waves, 2023, 43(4): 043101. doi: 10.11883/bzycj-2022-0137

考虑围压效应的冻结砂土动态本构模型研究

doi: 10.11883/bzycj-2022-0137
基金项目: 中国博士后科学基金(2019M652162);安徽省自然科学基金(1908085QE212);安徽省自然科学基金(2108085ME156);冻土工程国家重点实验室开放基金(SKLFSE202004)
详细信息
    作者简介:

    马冬冬(1991- ),男,博士,副教授,dongdonm@126.com

  • 中图分类号: O383

A study of dynamic constitutive model of frozen sandy soil considering confining pressure effect

  • 摘要: 为描述主动围压作用下冻结砂土的动态力学特性,通过在朱-王-唐模型的非线性体上串联塑性体,建立了能够考虑围压效应的冻结砂土动态损伤本构模型;分析了损伤参数对应力-应变曲线特征、屈服点、峰值应力和峰值应变的影响规律,基于冻结砂土动力学试验数据确定了模型参数;通过将模型和试验数据进行对比,并对不同试验条件下模型的预测误差进行分析,验证了模型的适用性和准确性。结果表明,损伤参数对应力-应变曲线弹性阶段和屈服点无明显影响,而对塑性阶段和破坏阶段的影响较为显著,本构模型预测的应力-应变曲线与试验结果具有较好的一致性。模型能够预测围压引起冻结砂土塑性阶段占比大和屈服点明显的特征,且能够描述围压对冻结砂土动态强度的增强效应;不同负温和主动围压条件下,模型对峰值应力和屈服强度的预测效果优于峰值应变和屈服应变。
  • 图  1  主动围压作用下冻结黏土和冻结砂土的动态应力-应变曲线[18-19]

    Figure  1.  Dynamic stress-strain curves of frozen clay and frozen sandy soil under active confining pressure[18-19]

    图  2  考虑塑性变形的ZWT模型

    Figure  2.  The ZWT model established in consideration of plastic deformation

    图  3  损伤参数μη对冻结砂土动态应力-应变曲线的影响

    Figure  3.  Effects of the damage parameters μ and η on the dynamic stress-strain curves of frozen sandy soil

    图  4  不同主动围压下本构模型曲线与试验结果的对比

    Figure  4.  Comparison of dynamic stress-strain curves by the modified constitutive model with the test results[25] under different active confining pressures

    图  5  不同温度和主动围压下冻结砂土应力误差-应变曲线

    Figure  5.  Stress error-strain curves of frozen sandy soil at different temperatures and active confining pressures

    图  6  不同温度和主动围压下本构模型对动态参数的预测结果与试验结果的对比

    Figure  6.  Comparison of predictions of dynamic parameters by the established constitutive model with the corresponding test results at different temperatures and active confining pressures

    表  1  冻结砂土动态本构模型参数

    Table  1.   Dynamic constitutive model parameters of frozen sandy soil

    温度/℃围压/MPaE0/MPaE1/MPaE2/MPaα/GPaβ/GPaσs/MPaθ2/msλφμη
    −50.5192045130−4205903.280.10.157.20.03611.5
    −51.0192045130−4205903.490.10.157.20.03611.5
    −51.5192045130−4205903.730.10.157.20.03611.5
    −52.0192045130−4205904.510.10.157.20.03611.5
    −150.5503060210−7409808.120.10.457.20.03611.5
    −151.0503060210−7409809.520.10.457.20.03611.5
    −152.0503060210−74098012.81 0.10.457.20.03611.5
    下载: 导出CSV

    表  2  不同试验条件下冻结砂土的模型应力与试验应力的平均绝对误差、均方根误差和标准差

    Table  2.   Mean absolute errors, root mean square errors and standard deviations between the dynamical stresses of frozen sandy soil by the established model and the test ones under different test conditions

    温度/℃围压/MPa平均绝对误差/MPa均方根误差/MPa标准差/MPa
    −50.50.1300.1950.174
    −51.00.1770.2790.240
    −51.50.6770.9070.751
    −52.00.3150.4930.356
    −150.50.5850.7010.715
    −151.00.6151.0340.794
    −152.00.1250.1930.158
    下载: 导出CSV
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出版历程
  • 收稿日期:  2022-04-06
  • 修回日期:  2022-07-20
  • 网络出版日期:  2022-09-09
  • 刊出日期:  2023-04-05

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