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

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

李晓照^{1, 2,},
戚承志^{1, 2}

1.
北京建筑大学土木与交通工程学院，北京 100044
2.
北京未来城市设计高精尖创新中心，北京 100044

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
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- 被引次数: 0
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

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

LI Xiaozhao^{1, 2
,},
QI Chengzhi^{1, 2}

1.
School of Civil and Transportation Engineering, Beijing University of Civil Engineering and Architecture, Beijing 100044, China
2.
Beijing Advanced Innovation Center for Future Urban Design, Beijing 100044, China

摘要

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m、ε₀和R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。
- 脆性岩石 /
- 宏-细观模型 /
- 应变率 /
- 动态本构关系 /
- 动态弹性模量
Abstract: The dynamic microcrack growth has a great influence on the macroscopic dynamic mechanical properties of brittle rocks under dynamic compressive loadings. However, the relationships between dynamic microcrack growth and macroscopic dynamic mechanical properties are rarely studied. Based on the microcrack growth-induced stress-strain constitutive relationship, the relationship between quasi-static and dynamic fracture toughness, the relationship between crack velocity and strain rate, the relationship between strain rate and dynamic fracture toughness, a micromechanics-based stress-strain constitutive model is proposed. Furthermore, the relationship between crack velocity and strain rate is derived by the time derivative of equation describing the relationship between crack length and axial strain. The relationship between strain rate and dynamic fracture toughness is obtained by coupling the suggested relationship between crack velocity and strain rate, and the crack velocity and fracture toughness. Effects of strain rate on stress-strain relation and dynamic compressive strength are studied. The reasonability of the proposed dynamic constitutive model is verified by the experimental results. Sensitivities of initial damage, confining pressure, parameters m, ε₀ and R on stress-strain relation, dynamic compressive strength and dynamic elastic modulus are discussed. These studies will provide a certain theoretical help for analyzing the stability of brittle surrounding rocks in deep undergrounding engineering.
- brittle rocks /
- micro-macro model /
- strain rate /
- dynamic constitutive relation /
- dynamic elastic modulus

HTML全文

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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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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