三轴应力路径下珊瑚砂的颗粒破碎模型

王兆南; 王刚; 叶沁果; 殷浩

doi:10.11779/CJGE202103017

三轴应力路径下珊瑚砂的颗粒破碎模型 English Version

王兆南^{1, 2,},
王刚^{1, 2, ,},
叶沁果^{1, 2},
殷浩^{1, 2}

1.
山地城镇建设与新技术教育部重点实验室,重庆　400045
2.
重庆大学土木工程学院,重庆　400045

基金项目:

国家自然科学基金项目 51679016

重庆市研究生科研创新项目 CYB20032

详细信息

作者简介:
王兆南（1994— ）,男,博士研究生,主要从事岩土工程数值计算方面的研究工作。E-mail：znwang@cqu.edu.cn

通讯作者:
王刚, E-mail: cewanggang@163.com）

中图分类号: TU431
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出版历程
- 收稿日期: 2020-02-02
- 网络出版日期: 2022-12-04
- 刊出日期: 2021-02-28

Particle breakage model for coral sand under triaxial compression stress paths

WANG Zhao-nan^{1, 2,},
WANG Gang^{1, 2, ,},
YE Qin-guo^{1, 2},
YIN Hao^{1, 2}

1.
Key Laboratory of New Technology for Construction of Cities in Mountain Area, Chongqing University, Chongqing 400045, China
2.
School of Civil Engineering, Chongqing University, Chongqing 400045, China

摘要

摘要: 基于不同轴向应变下平行试样的三轴试验结果,分析了珊瑚砂在三轴排水与不排水条件下颗粒破碎随加载的演化过程,探讨了现有的颗粒破碎能量模型和基于应力的Hardin破碎模型的局限性。为了更好地分析颗粒破碎中间发展过程的特征,将引起颗粒破碎的机制分解为压缩和剪切两部分,并分别建立了与之相对应的破碎模型。压缩机制是指在等应力比条件下有效球应力增大导致的压缩效应,它所引起的颗粒破碎与当前的应力状态有关。剪切机制是指剪应力比变化所导致的剪切效应,它所引起的颗粒破碎与已经累积的颗粒破碎量以及剪应变的大小有关。最后,通过与珊瑚砂三轴试验结果的比对初步验证了压缩和剪切破碎模型的合理性。
- 颗粒破碎 /
- 珊瑚砂 /
- 压缩机制 /
- 剪切机制
Abstract: Based on the triaxial experimental results of parallel specimens loaded under various axial strains, the intermediate particle breakage process of a coral sand is investigated, and the limitations of the energy-based breakage correlation and the popular stress-based Hardin breakage model are discussed. In order to reveal the characteristics of its intermediate accumulating process more conveniently, the particle breakage is decomposed into two parts based on the loading mechanisms: (1) compression-induced particle breakage associated with the increase of mean effective stress, and (2) shear-induced particle breakage related to the change of shear stress ratio. The amount of compression-induced particle breakage can be correlated to the current stress state. The accumulating rate of shear-induced particle breakage depends on both the shear strain and the accumulated amount of particle breakage during the past stress history. Two mathematical models are presented for the two particle breakage parts respectively, and the effectiveness of the two models is demonstrated by simulating the triaxial test results of the coral sand.
- particle breakage /
- coral sand /
- compression mechanism /
- shear mechanism

HTML全文

图 1 相对破碎的定义

Figure 1. Definition of relative breakage

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图 2 珊瑚砂在三轴排水、不排水加载下的试验结果

Figure 2. Experimental results of carbonate sand under drained and undrained triaxial compression

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图 3 排水与不排水路径下相对破碎随轴向应变的演化过程

Figure 3. Evolution process of particle breakage with axial strain under drained and undrained compression

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图 4 相对破碎与输入能量的关系

Figure 4. Relationship between relative breakage and input energy

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图 5 Hardin破碎模型在三轴排水和不排水条件下的模拟结果

Figure 5. Performance of Hardin’s breakage model under drained and undrained triaxial compressions

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图 6 恒定破碎应力对应的破碎面

Figure 6. Crushing surface corresponding to constant breakage stress

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图 7 压缩机制引起的颗粒破碎

Figure 7. Particle breakage induced by compression mechanism

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图 8 排水条件下剪切机制引起的颗粒破碎

Figure 8. Particle breakage induced by shear mechanism under drained triaxial compression

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图 9 不排水条件下剪切机制引起的颗粒破碎

Figure 9. Particle breakage induced by shear mechanism under undrained triaxial compression

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表 1 压缩和剪切破碎模型的相关参数

Table 1 Parameters of compression and shear breakage law

b₁	c₁	c₂	A	$\bar{\bar{B_{r}}}$	最终级配曲线
2.5×10^-6	0.07	1.2	55.0	1.00	Hardin的破碎潜能
2.5×10^-6	0.07	1.2	34.0	0.72	分形级配

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