冻融损伤石英岩力学特性及损伤本构模型

doi:10.11988/ckyyb.20231018

新澳门游戏网站入口院报 ›› 2025, Vol. 42 ›› Issue (1): 177-185.DOI: 10.11988/ckyyb.20231018

冻融损伤石英岩力学特性及损伤本构模型

侯召旭¹^,²(), 刘先峰¹^,²^,³(), 王通¹^,², 张俊¹^,², 袁胜洋¹^,², 胡金山⁴

¹ 西南交通大学土木工程学院,成都 610031
² 西南交通大学高速铁路线路工程教育部重点实验室,成都 610031
³ 新疆工程学院土木工程学院,乌鲁木齐 830023
⁴ 中铁第一勘察设计院集团有限公司,西安 710043

收稿日期:2023-09-18 修回日期:2024-01-09 出版日期:2025-01-01 发布日期:2025-01-01
通信作者:
刘先峰(1980-),男,山西朔州人,教授,博士,主要从事环境岩土工程研究。E-mail:Xianfeng.liu@swjtu.edu.cn
作者简介:
侯召旭(1999-),男,黑龙江齐齐哈尔人,博士研究生,主要从事复杂艰险山区边坡工程研究。E-mail: houzhaoxu0714@163.com
基金资助:
国家自然科学基金项目(52078432); 国家自然科学基金项目(52168066); 中央引导地方科技发展专项(ZYYD2023B02); 中铁第一勘察设计院集团有限公司科研项目(院科-20-06)

Mechanical Characteristics and Damage Constitutive Model of Quartzite under Freeze-thaw Cycles

HOU Zhao-xu¹^,²(), LIU Xian-feng¹^,²^,³(), WANG Tong¹^,², ZHANG Jun¹^,², YUAN Sheng-yang¹^,², HU Jin-shan⁴

¹ School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China
² Key Laboratory of High-Speed Railway Engineering of Ministry of Education, Southwest Jiaotong University, Chengdu 610031, China
³ School of Civil Engineering, Xinjiang Institute of Engineering, Urumqi 830023, China
⁴ China Railway First Survey and Design Institute Group Co., Ltd., Xi’an 710043, China

Received:2023-09-18 Revised:2024-01-09 Published:2025-01-01 Online:2025-01-01

摘要/Abstract

摘要：

西南艰险山区分布有大量岩质边坡,长期冻融作用引起岩体力学性能发生劣化,进一步导致边坡稳定性降低。为研究岩体在冻融作用下的损伤劣化规律,选取某高陡边坡工程的低孔隙率石英岩进行不同冻融循环次数条件下的单轴压缩试验,分析其力学劣化和能量演化规律,并基于能量演化规律提出岩石完全压密点的确定方法,以完全压密点为分段点建立考虑压密段的岩石分段损伤本构模型。研究结果表明:前期冻融循环作用对石英岩的影响较小,当冻融循环次数>40时,石英岩的力学性能出现明显劣化,破坏模式由剪切破坏逐渐向拉-剪复合破坏转变;确定弹性能耗比K(耗散能/弹性应变能)为1.2对应的点为完全压密点,压密应变随冻融循环次数的增加呈线性增大;考虑压密段的岩石分段损伤本构模型与试验数据的匹配度较好,可更准确地描述冻融损伤石英岩的变形破坏特性。

关键词: 冻融循环, 石英岩, 力学劣化, 能量演化, 完全压密点, 分段损伤本构模型

Abstract:

There are a large number of rock slopes in the difficult and dangerous mountainous areas of southwest China. Long-term freeze-thaw action deteriorates the mechanical properties of the rock mass, leading to decreased slope stability. To study the damage degradation law of rock mass under freeze-thaw action, uniaxial compression tests were conducted on low-porosity quartzite from a high and steep slope in the southwest hazardous mountainous area. The mechanical deterioration and energy evolution were analyzed. Based on the energy evolution law, a method for determining the complete compaction point of rock was proposed. A piecewise damage constitutive model of the rock in consideration of the compaction section was established by taking the complete compaction point as the piecewise point. Results show that early freeze-thaw cycles have little effect on the quartzite. However, when the number of freeze-thaw cycles exceeds 40, the mechanical properties of quartzite deteriorate significantly, and the failure mode gradually changes from shear failure to a combination of tensile and shear failure. The point corresponding to an elastic energy consumption ratio K (ratio of dissipated energy to elastic energy) of 1.2 is determined as the complete compaction point. The strain corresponding to the complete compaction point increases linearly with the increase in freeze-thaw cycles. The proposed piecewise damage constitutive model matches well with experimental data and more accurately describes the deformation and failure characteristics of freeze-thaw damaged quartzite.

Key words: freeze-thaw cycles, quartzite, mechanical degradation, energy evolution, complete compaction point, piecewise damage constitutive model

中图分类号:

TU452岩体力学性质及应力理论分析

侯召旭, 刘先峰, 王通, 张俊, 袁胜洋, 胡金山. 冻融损伤石英岩力学特性及损伤本构模型[J]. 新澳门游戏网站入口院报, 2025, 42(1): 177-185.

HOU Zhao-xu, LIU Xian-feng, WANG Tong, ZHANG Jun, YUAN Sheng-yang, HU Jin-shan. Mechanical Characteristics and Damage Constitutive Model of Quartzite under Freeze-thaw Cycles[J]. Journal of Changjiang River Scientific Research Institute, 2025, 42(1): 177-185.

图/表 13

图1 岩石冻融试验试样

Fig.1 Freeze-thaw test samples of quartzite

图2 冻融循环时间安排

Fig.2 Time of freeze-thaw cycles

表1 不同冻融循环次数下石英岩的物理参数

Table 1 Physical parameters of quartzite under different freeze-thaw cycles

冻融循环次数n	质量/g	质量损失率/%	孔隙率/%
0	545.47	0.00	1.82
20	545.20	0.05	2.02
40	544.76	0.13	2.54
60	544.05	0.26	3.21
80	543.51	0.36	3.88

图3 石英岩的孔隙率和质量损失率演化特征

Fig.3 Evolution characteristics of the mass loss rate and porosity of quartzite under different freeze-thaw cycles

图4 冻融循环作用下石英岩的力学特性劣化规律

Fig.4 Degradation law of mechanical properties of quartzite under different freeze-thaw cycles

图5 单轴压缩试验石英岩的破坏模式

Fig.5 Failure modes of freeze-thaw quartzite under uniaxial compression

图6 不同冻融循环次数下石英岩破坏断面的微观形貌(500倍)

Fig.6 Micro morphology (magnified by 500 times) of quartzite failure section under different freeze-thaw cycles

图7 弹性应变能与耗散能的关系示意图

Fig.7 Relationship between elastic strain energy and dissipated energy in the stress-strain curve

图8 石英岩单轴压缩试验过程中的能量演化规律

Fig.8 Energy evolution curves of quartzite with different freeze-thaw cycles under uniaxial compression

图9 不同冻融循环次数下石英岩的压密应变

Fig.9 Strain corresponding to the complete compaction point of quartzite under different freeze-thaw cycles

图10 不同冻融循环次数下石英岩的冻融伤变量

Fig.10 Freeze-thaw damage variables under different freeze-thaw cycles

表2 不同冻融循环次数条件下石英岩分段损伤本构模型参数

Table 2 Parameters of piecewise damage constitutive model of quartzite under different freeze-thaw cycles

冻融循环次数n	弹性模量 $E n$ /GPa	压密段				非压密段
冻融循环次数n	弹性模量 $E n$ /GPa	$ε A n$ /10^-2	$σ A n$ /MPa	$m 1 n$	$F 1 n$	$ε p n$ /10^-2	$σ p n$ /MPa	$m 2 n$	$F 2 n$
0	17.09	0.45	24.52	2.03	0.71	0.97	108.02	35.06	0.58
20	14.66	0.50	25.51	1.85	0.75	1.11	104.54	33.65	0.66
40	13.27	0.56	25.67	1.68	0.92	1.17	99.34	29.02	0.69
60	12.16	0.60	24.28	1.54	1.04	1.16	82.52	27.68	0.60
80	11.66	0.69	25.64	1.48	1.20	1.18	73.96	20.12	0.55

表2 不同冻融循环次数条件下石英岩分段损伤本构模型参数

Table 2 Parameters of piecewise damage constitutive model of quartzite under different freeze-thaw cycles

冻融循环次数n	弹性模量 $E n$ /GPa	压密段				非压密段
冻融循环次数n	弹性模量 $E n$ /GPa	$ε A n$ /10^-2	$σ A n$ /MPa	$m 1 n$	$F 1 n$	$ε p n$ /10^-2	$σ p n$ /MPa	$m 2 n$	$F 2 n$
0	17.09	0.45	24.52	2.03	0.71	0.97	108.02	35.06	0.58
20	14.66	0.50	25.51	1.85	0.75	1.11	104.54	33.65	0.66
40	13.27	0.56	25.67	1.68	0.92	1.17	99.34	29.02	0.69
60	12.16	0.60	24.28	1.54	1.04	1.16	82.52	27.68	0.60
80	11.66	0.69	25.64	1.48	1.20	1.18	73.96	20.12	0.55

图11 石英岩单轴压缩试验与理论计算结果对比

Fig.11 Comparison of stress-strain curves of quartzite between experimental and theoretical results

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冻融损伤石英岩力学特性及损伤本构模型

Mechanical Characteristics and Damage Constitutive Model of Quartzite under Freeze-thaw Cycles

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