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混凝土类材料动态压缩强度在多维应力状态下的应变率效应

刘锋 李庆明

刘锋, 李庆明. 混凝土类材料动态压缩强度在多维应力状态下的应变率效应[J]. 爆炸与冲击. doi: 10.11883/bzycj-2022-0037
引用本文: 刘锋, 李庆明. 混凝土类材料动态压缩强度在多维应力状态下的应变率效应[J]. 爆炸与冲击. doi: 10.11883/bzycj-2022-0037
LIU Feng, LI Qingming. Stain-rate effects on the dynamic compressive strength of concrete-like materials under multiple stress state[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2022-0037
Citation: LIU Feng, LI Qingming. Stain-rate effects on the dynamic compressive strength of concrete-like materials under multiple stress state[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2022-0037

混凝土类材料动态压缩强度在多维应力状态下的应变率效应

doi: 10.11883/bzycj-2022-0037
基金项目: 国家自然科学基金(11272060,52078283,12172198)
详细信息
    作者简介:

    刘 锋(1977- ),男,博士,副教授,feng.liu@sdust.edu.cn

    通讯作者:

    李庆明(1962- ),男,博士,教授,博士生导师,qingming.li@manchester.ac.uk

  • 中图分类号: O347.3

Stain-rate effects on the dynamic compressive strength of concrete-like materials under multiple stress state

  • 摘要: 对混凝土类材料动态压缩应变率效应研究的发展及问题进行了概述,对比不同应力状态下混凝土类材料动态压缩应变率效应的表现特征,揭示了不同加载路径下实测动态强度提高系数的显著差异。研究表明,在高应变率下,基于初始一维应力加载路径的试件将因横向惯性效应导致的侧向围压而演化至多维应力状态,传统霍普金森杆技术无法获得高应变率下基于真实一维应力路径的动态强度提高系数,在强度模型中直接应用实测数据将过高估计材料的动态强度。鉴于应变率效应的加载路径依赖性,将仅包含应变率的强度提高系数模型扩展至同时计及应变率和应力状态的多维应力状态模型,并结合Drucker-Prager准则在强度模型中给予了实现。针对具有自由和约束边界试件开展的数值霍普金森杆实验表明,多维应力状态下的应变率效应模型可以考虑应变率效应随应力状态改变的特点,从而准确预测该类材料的动态压缩强度。研究结果可为正确应用霍普金森杆技术确定脆性材料的动态压缩强度提供参考。
  • 图  1  一维应力状态下$ \gamma $$ \dot \varepsilon $之间的关系

    Figure  1.  $ \gamma $ versus $ \dot \varepsilon $ under 1D-stress state

    图  2  应力状态随应变率提高的演化过程[23]

    Figure  2.  Evolution of stress state with the increase of strain-rate [23]

    图  3  一维应变路径下花岗岩准静态和动态强度[10]

    Figure  3.  Quasi-static and shock strength of Granite under 1D-strain path [10]

    图  4  一维应变状态下$ \gamma $$ \dot \varepsilon $之间的关系[10, 42]

    Figure  4.  $ \gamma $ versus $ \dot \varepsilon $ under the 1D-strain state[10, 42]

    图  5  不同围压状态下动态强度提高系数与应变率之间的关系[44,47]

    Figure  5.  Dynamic increase factor versus strain-rate under the given confining pressure [44, 47]

    图  6  混凝土类材料在多维应力状态下的动态压缩强度提高系数

    Figure  6.  The multi-axial dynamic increase factor model of strain-rate effect on compressive strength of concrete-like material

    图  7  已有材料模型对动态强度提高系数的修正

    Figure  7.  The correction on the dynamic increase factor in existed material models

    图  8  不同加载路径下数值霍普金森杆实验示意图

    Figure  8.  The illustration of NSHPB test setup for different loading path

    图  9  应变率282 s−1加载下试件应力分量与轴向应变的关系曲线

    Figure  9.  The stress components versus axial strain at strain-rate of 282 s−1

    图  10  试件应力三轴系数云图

    Figure  10.  The contour of stress-triaxiality within the specimen

    图  11  $ \gamma $$ \eta $随应变率提高的演化趋势

    Figure  11.  The evolution of $ \gamma $and $ \eta $ with the increase of $ \dot \varepsilon $

    图  12  基于不同模型的数值霍普金森杆实验预测结果及与实验数据的对比

    Figure  12.  The predicated dynamic increase factor based on different models and comparison with test data

    图  13  试件准静态状态方程和偏应力强度[42]

    Figure  13.  The quasi-static EoS and deviatoric strength of sample[42]

    图  14  数值霍普金森杆结果与实验数据的对比

    Figure  14.  The comparison between NSHPB results and test data

    图  15  试件在环向约束下数值霍普金森杆实验示意图

    Figure  15.  Illustration of NSHPB for sample with confinement

    图  16  准静态围压实验测定的试件状态方程和偏应力强度[44]

    Figure  16.  The measured quasi-static equation of state and deviatoric strength of sample [44]

    图  17  数值霍普金森杆实验预测的典型变量演化过程

    Figure  17.  The evolution of typical variables predicated in a NSHPB test

    图  18  数值霍普金森杆预测结果及与实验数据的对比

    Figure  18.  The predication results in NSHPB test and comparison with test data

    表  1  数值霍普金森杆实验中装置、试件的尺寸和材料参数

    Table  1.   The dimension and material parameters in NSHPB test

    材料参数一维应力一维应变多维应力
    Zhang [17]Al-Salloum[53]Brace [10]Piotrawska [44]
    试件直径/mm377318.540
    试件密度/(kg∙m−3)2116200026502278
    厚径比0.50.521.25
    准静态强度/MPa51.063----
    弹性模量/GPa17.220----
    泊松比$ \nu $0.190.20.20.2
    摩擦角$ \beta $50[15]50[15]50[15]50[15]
    膨胀角$ \varphi $50[15]50[15]50[15]50[15]
    霍普金森杆直径/mm37753780
    霍普金森杆材料密度/(kg∙m−3)7850785078507850
    霍普金森杆弹性模量/GPa200200200200
    下载: 导出CSV
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  • 收稿日期:  2022-01-24
  • 修回日期:  2022-03-25
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