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冻融循环冻土的冲击动态力学性能

李斌 朱志武 李涛

李斌, 朱志武, 李涛. 冻融循环冻土的冲击动态力学性能[J]. 爆炸与冲击. doi: 10.11883/bzycj-2021-0475
引用本文: 李斌, 朱志武, 李涛. 冻融循环冻土的冲击动态力学性能[J]. 爆炸与冲击. doi: 10.11883/bzycj-2021-0475
LI Bin, ZHU Zhiwu, LI Tao. Impact dynamic mechanical properties of frozen soil with freeze-thaw cycles[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2021-0475
Citation: LI Bin, ZHU Zhiwu, LI Tao. Impact dynamic mechanical properties of frozen soil with freeze-thaw cycles[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2021-0475

冻融循环冻土的冲击动态力学性能

doi: 10.11883/bzycj-2021-0475
基金项目: 国家自然科学基金(11972028);中央高校基本科研业务费专项资金(2682018CX44);冻土工程国家重点实验室开放基金(SKLFSE201918)
详细信息
    作者简介:

    李 斌(1997- ),男,博士研究生,1915732310@qq.com

    通讯作者:

    朱志武(1974- ),男,博士,教授,zzw4455@163.com

  • 中图分类号: O347.3

Impact dynamic mechanical properties of frozen soil with freeze-thaw cycles

  • 摘要: 以典型冻土为研究对象,通过不同冻融循环次数的冻融循环实验、不同温度的冻结实验以及不同应变率的冲击动态实验,综合研究了冻融循环冻土的冲击动态力学性能。结果表明,冻土存在冻融循环效应,随着冻融循环次数的增加,冻土的峰值应力有一定程度的降低,但在达到临界冻融循环次数后,峰值应力将维持稳定;同时,冻土表现出明显的应变率效应和温度效应,其峰值应力随应变率的增加或温度的降低而增加。通过定义冻融损伤因子,推导满足Weibull分布的冲击损伤,提出了一个基于Z-W-T方程的损伤黏弹性本构模型。该模型可较好地描述冻融循环后冻土的冲击动态力学行为,为研究季节性冻土区冻土的冲击动态破坏提供参考。
  • 图  1  圆柱土体试样

    Figure  1.  Cylindrical soil specimen

    图  2  温度时程曲线与冻融循环实验装置

    Figure  2.  2Temperature time history curve and freeze-thaw cycles experimental device

    图  3  SHPB实验装置

    Figure  3.  A SHPB device

    图  4  典型波形图

    Figure  4.  Typical waveform

    图  5  不同工况下冻土的应力-应变曲线图 (T = −20 ℃)

    Figure  5.  Stress-strain curves of frozen soil for different cases (T = −20 °C)

    图  6  不同工况下冻土的应力-应变曲线图 ($ \dot \varepsilon $= 550 s−1)

    Figure  6.  Stress-strain curves of frozen soil for different cases ($ \dot \varepsilon $= 550 s−1)

    图  7  不同工况下冻土的冻土峰值应力

    Figure  7.  Peak stress of frozen soil for different cases

    图  8  冻结过程示意图

    Figure  8.  Schematic diagram of the freezing process

    图  9  冻融损伤因子

    Figure  9.  Freeze-thaw damage factor

    图  10  Z-W-T本构模型

    Figure  10.  Z-W-T constitutive model

    图  11  相同温度不同应变率下冻土的理论曲线与实验曲线(T = −20 ℃)

    Figure  11.  Theoretical and experimental curves of frozensoil at the same temperature and different strain rates(T = −20 °C)

    图  12  相同应变率不同温度下冻土的理论曲线与实验曲线($ \dot \varepsilon $= 550 s−1)

    Figure  12.  Theoretical and experimental curves of at the same strain rate and different temperatures ($ \dot \varepsilon $= 550 s−1)

    表  1  实验方案

    Table  1.   Experimental scheme

    冻融循环次数T/℃$ \dot \varepsilon {\text{/}}{{\text{s}}^{{\text{−1}}}} $
    0−20550,450,350
    −15550
    −10550
    1−20550,450,350
    −15550
    −10550
    3−20550,450,350
    −15550
    −10550
    5−20550,450,350
    −15550
    −10550
    下载: 导出CSV

    表  2  冻融循环冻土冲击实验结果

    Table  2.   Experimental results of frozen soil with freeze–thaw cycles under impact loading

    冻融循环次数T/℃$ \dot \varepsilon {\text{/}}{{\text{s}}^{{\text{−1}}}} $实验1实验2实验3
    $ {\sigma _{\text{p}}}{\text{/MPa}} $$ {\varepsilon _{\text{p}}}{\text{/\% }} $$ {\sigma _{\text{p}}}{\text{/MPa}} $$ {\varepsilon _{\text{p}}}{\text{/\% }} $$ {\sigma _{\text{p}}}{\text{/MPa}} $$ {\varepsilon _{\text{p}}}{\text{/\% }} $
    0−105506.744.077.164.136.964.11
    −155508.714.218.424.148.533.91
    −203508.552.348.292.548.192.45
    4509.673.369.783.2510.113.68
    55011.134.3411.064.1810.694.29
    1−105506.224.165.914.316.424.2
    −155507.753.967.553.917.824.12
    −203507.482.397.642.587.512.44
    4508.373.438.643.158.743.25
    5509.614.19.514.139.814.07
    3−105505.964.136.44.156.414.26
    −155507.414.197.954.247.114.11
    −203506.722.747.032.517.112.82
    4508.973.418.543.388.623.45
    5509.314.239.544.119.314.08
    5−105506.154.326.324.235.924.22
    −155507.424.287.124.187.714.13
    −203507.112.287.022.217.212.34
    4508.543.088.613.038.542.94
    5509.624.139.364.119.513.92
    下载: 导出CSV

    表  3  本构模型参数 ($T=-20\;^{circ}{\rm C} $)

    Table  3.   Constitutive model parameters ($T=-20\;^{circ}{\rm C} $)

    冻融循环次数$ \dot \varepsilon {\text{/}}{{\text{s}}^{{\text{−1}}}} $$ {E_{\text{0}}}{\text{/GPa}} $$ {E_2}{\text{/GPa}} $$ {\theta _2}{{/\mu {\rm{s}}}} $$ {\varepsilon _{\text{f}}} $$ m $$ f $
    05501.63611.230.7050.01311.161.000
    4501.6677.360.9710.01161.231.000
    3501.6064.192.8630.00881.231.000
    15501.6559.160.6710.01291.330.871
    4501.5608.630.9190.01141.320.871
    3501.6244.452.7210.00861.330.871
    35501.73210.230.5130.01391.130.847
    4501.63013.210.5410.01221.210.847
    3501.65213.520.7790.00911.110.847
    55501.64814.510.5420.01371.140.852
    4501.62511.010.4670.01191.070.852
    3501.62614.060.4670.00911.170.852
    下载: 导出CSV

    表  4  本构模型参数 ($ \dot \varepsilon = 550\;{\rm s}^{-1}$)

    Table  4.   Constitutive model parameters ($ \dot \varepsilon=550\;{\rm s}^{-1} $)

    冻融循环次数T/℃$ {E_{\text{0}}}{\text{/GPa}} $$ {E_2}{\text{/GPa}} $$ {\theta _2}{{/\mu {\rm{s}}}} $$ {\varepsilon _{\text{f}}} $$ m $$ f $
    0−201.63611.230.7050.01311.161.000
    −151.5227.250.5770.01341.031.000
    −101.34013.220.1270.01311.021.000
    1−201.6559.160.6710.01291.340.871
    −151.53116.120.2090.01291.120.888
    −101.3359.010.1510.01311.050.939
    3−201.73210.230.5120.01391.130.847
    −151.54110.390.2570.01341.140.881
    −101.3814.070.3970.01341.020.893
    5−201.64814.50.5420.01371.140.852
    −151.4558.860.6230.01341.010.875
    −101.15310.830.4110.01311.060.878
    下载: 导出CSV
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  • 收稿日期:  2021-11-15
  • 修回日期:  2022-04-25
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