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

doi:10.11988/ckyyb.20231018

Abstract

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

CLC Number:

TU452岩体力学性质及应力理论分析

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.

Figures/Tables 13

Fig.1 Freeze-thaw test samples of quartzite

Fig.2 Time of freeze-thaw cycles

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

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

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

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

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

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

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

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

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

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

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

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

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