基于裂纹扩展脆性岩石动力压缩力学特性研究

李晓照 戚承志

李晓照, 戚承志. 基于裂纹扩展脆性岩石动力压缩力学特性研究[J]. 爆炸与冲击, 2019, 39(8): 083101. doi: 10.11883/bzycj-2019-0078
引用本文: 李晓照, 戚承志. 基于裂纹扩展脆性岩石动力压缩力学特性研究[J]. 爆炸与冲击, 2019, 39(8): 083101. doi: 10.11883/bzycj-2019-0078
LI Xiaozhao, QI Chengzhi. Study on microcrack growth-based dynamic compressive mechanical properties in brittle rocks[J]. Explosion And Shock Waves, 2019, 39(8): 083101. doi: 10.11883/bzycj-2019-0078
Citation: LI Xiaozhao, QI Chengzhi. Study on microcrack growth-based dynamic compressive mechanical properties in brittle rocks[J]. Explosion And Shock Waves, 2019, 39(8): 083101. doi: 10.11883/bzycj-2019-0078

基于裂纹扩展脆性岩石动力压缩力学特性研究

doi: 10.11883/bzycj-2019-0078
基金项目: 国家自然科学基金(51708016,51774018);国家重点基础研究发展计划(2015CB0578005);北京建筑大学市属高校基本科研业务费专项(X19006,X19013)
详细信息
    作者简介:

    李晓照(1987- ),男,博士,讲师,lixiaozhao@bucea.edu.cn

  • 中图分类号: O383; TU452

Study on microcrack growth-based dynamic compressive mechanical properties in brittle rocks

  • 摘要: 动态压缩荷载作用下,脆性岩石内部动态细观裂纹扩展特性,对岩石宏观动态力学特性有着重要的影响。然而,对岩石内部动态细观裂纹扩展与宏观动态力学特性的关系研究较少。基于准静态裂纹扩展作用下的应力-应变本构模型、准静态与动态裂纹扩展断裂韧度关系、裂纹速率与应变率关系模型及应变率与动态断裂韧度关系,提出了一种基于细观力学的动态应力-应变本构模型。其中裂纹速率与应变率关系,是根据裂纹长度与应变关系的时间导数推出;应变率与动态断裂韧度关系,是根据推出的裂纹速率及应变率关系,与裂纹速率及断裂韧度关系相结合而得到。研究了应变率对应力-应变本构关系及动态压缩强度影响。并通过试验结果验证了模型的合理性。讨论了岩石初始损伤、围压、模型中参数mε0R对应力-应变关系、动态压缩强度和动态弹性模量的影响。研究结果可为动态压缩荷载作用下深部地下工程脆性围岩稳定性分析提供了一定的理论支持。
  • 图  1  动态压缩荷载作用下的裂纹扩展模型

    Figure  1.  Crack growth model under dynamic compressive loadings

    图  2  大理岩与与花岗岩动态应力-应变曲线的理论与试验结果[3, 23]对比

    Figure  2.  Comparisons between theoretical and experimental [3, 23] dynamic stress-strain curves in marble and granite

    图  3  应变率影响下的应力应变本构关系

    Figure  3.  Effect of strain rate on stress-strain curve

    图  4  不同模型参数的应变率与岩石动态压缩强度关系

    Figure  4.  Relations between strain rate and dynamic compressive strength under different model parameters

    图  5  不同模型参数的应变率与动态弹性模量关系

    Figure  5.  Relations between strain rate and dynamic elastic module under different model parameters

    图  6  初始损伤D0对动态应力应变本构关系影响

    Figure  6.  Effect of initial damage on dynamic stress-strain constitutive relation

    图  7  围压对动态应力应变本构关系影响

    Figure  7.  Effect of confining pressure on dynamic stress-strain constitutive relation

    图  8  参数m对动态应力应变本构关系影响

    Figure  8.  Effect of parameter m on dynamic stress-strain constitutive relation

    图  9  参数ε0对动态应力应变本构关系影响

    Figure  9.  Effect of parameter ε0 on dynamic stress-strain constitutive relation

    图  10  参数R对动态应力应变本构关系影响

    Figure  10.  Effect of parameter R on dynamic stress-strain constitutive relation

    图  11  应变率对不同模型参数与动态弹性模量关系影响

    Figure  11.  Effects of strain rate on the relationships between model parameters and dynamic elastic modules

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出版历程
  • 收稿日期:  2019-03-19
  • 修回日期:  2019-07-19
  • 网络出版日期:  2019-07-25
  • 刊出日期:  2019-08-01

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