基于离散元的花岗岩热敏感性及裂纹扩展研究

doi:10.11872/j.issn.1005-2518.2022.04.181

Abstract

Abstract:

Under a certain stress state，the thermal induced stress field and the initial stress field are superimposed，resulting in the initiation of new thermal cracks on the basis of the original cracks，which affects the mechanical properties of the rock.However，the effect of thermal stress field can also be applied to rock crushing.It is necessary to study the fracture caused by thermal and mechanical action of rock.Due to the limited monitoring technology of the experiment under high temperature，the relevant research is difficult to carry out.Using the method of combining experiment and simulation，based on the experiment and the discrete element method，the cracking process caused by heat and force of prefabricated crack model with different inclination angles was studied under different initial stress states. The relevant thermal eigenvalues were analyzed，and the propagation path of thermal crack was theoretically analyzed according to the $D e t . (σ i j)$ fracture criterion and the evolution process of the second invariant in the heating process.The results show that under the high stress state，the thermal sensitivity is strong （the crack initiation temperature is low，the crack propagation temperature range is in the front，and the crack propagation process is intense），the peak temperature is low，but the peak thermal stress is high.Prefabricated cracks with different angles will also affect the relevant thermal eigenvalues. Under the same initial stress state，with the increase of prefabricated crack angle，the thermal sensitivity de-creases.Moreover，the peak temperature has a similar law.When the crack initiation state is reached，the thermal crack first forms at the tip of the prefabricated crack.With the increase of temperature，the distribution of the second invariant of stress changes，and the thermal crack will expand at the maximum of the second invariant.The research results have certain reference significance for deep thermal rock breaking and rock engineering stability.

Key words: cracking due to thermal and stress, PFC, thermal eigenvalue, thermal sensitivity, crack propagation, second invariant of stress, discrete element method

CLC Number:

TD313

Mingjian LI,Tubing YIN,Xiaosong TAN,Zheng YANG. Study on Thermal Sensitivity and Crack Propagation of Granite Based on Discrete Element Method[J].Gold Science and Technology, 2022, 30(4): 559-573.

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温度/℃	峰值强度/MPa	峰值应变/%	弹性模量/GPa
20	124	0.54	31.22
100	121	0.55	30.03
200	114	0.59	27.96
300	105	0.66	23.27
400	96	0.68	21.11

岩石组分	占比/%	颗粒半径/mm	热膨胀系数/（K^-1）	导热系数/（W·m^-1·K^-1）	比热/（J·kg^-1·K^-1）	密度/（kg·m^-3）
石英	40.9	0.40~0.55	24.3×10^-6
长石	38.4	0.30~0.40	8.7×10^-6	3.5	1 015	2 700
云母	20.7	0.30~0.40	3.0×10^-6

参数	数值
k₁	54.3
k₂	129
b	0.572
emod	20.7e9
pb_emod	24.3e9
kratio	2.6
pb_ten	11.7e7
pb_coh	6.50e7

初始轴向应力/MPa	起裂温度/℃	扩展温度区间/℃	峰值温度/℃	峰值热应力/MPa
20	216	-	400	82
40	122	300~400	352	89
60	22	250~350	267	92
80	20	150~250	140	95

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Study on Thermal Sensitivity and Crack Propagation of Granite Based on Discrete Element Method

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