三点弯曲载荷下岩体偏置斜裂隙的应力强度因子

金属矿山 ›› 2024, Vol. 53 ›› Issue (2): 114-.

三点弯曲载荷下岩体偏置斜裂隙的应力强度因子

王　超^1,2,3,4　伍永平⁵　赵自豪^1,2,3,4曹　健^1,2,3,4段会强^1,2,3,4　杨盼盼^1,2,3,4

1. 内蒙古科技大学矿业与煤炭学院,内蒙古包头 014010;2. 内蒙古自治区矿业工程重点实验室,内蒙古包头 014010; 3. 内蒙古自治区煤炭安全开采与利用工程技术研究中心,内蒙古包头 014010;4. 内蒙古煤炭绿色开采与绿色利用协同创新中心,内蒙古包头 014010;5. 西安科技大学能源学院,陕西西安 710054

出版日期:2024-02-15 发布日期:2024-04-03
基金资助:
国家自然科学基金项目(编号:51964037);内蒙古自然科学基金项目(编号:2022QN05007,2021BS05002,2019MS04016)。

Stress Intensity Factor of Rock Mass Offset Oblique Crack under Three-Point Bending Load

WANG Chao^1,2,3,4　WU Yongping⁵　ZHAO Zihao^1,2,3,4　CAO Jian^1,2,3,4#br# DUAN Huiqiang^1,2,3,4　YANG Panpan^1,2,3,4#br#

1. School of Mining and Coal,Inner Mongolia University of Science and Technology,Baotou 014010,China; 2. Inner Mongolia Key Laboratory of Mining Engineering,Baotou 014010,China; 3. Inner Mongolia Research Center for Coal Safety Mining and Utilization Engineering and Technology,Baotou 014010,China; 4. Inner Mongolia Cooperative Innovation Center for Coal Green Mining and Green Utilization,Baotou 014010,China; 5. School of Energy Sources,Xi′an University of Science and Technology,Xi′an 710054,China

Online:2024-02-15 Published:2024-04-03

摘要/Abstract

摘要： 地下巷道(硐室)顶板常因弯曲离层而破断,其破断位置与裂隙几何形态和位置密切关联。为揭示裂隙对岩层断裂的影响,建立了岩体偏置斜裂隙的三点弯曲模型,定义了裂隙的偏置系数和贯通率,分析了裂隙偏置系数、倾角和贯通率三者之间的关系,基于力学平衡原理和σ-K 关系导出了偏置斜裂隙与偏置竖裂隙应力强度因子K 的关系式。同时分析了裂隙倾角、贯通率和偏置系数对应力强度因子的影响规律。该方法可为裂隙影响下巷道(硐室)顶板的张拉断裂提供判定依据。

关键词: 三点弯曲　应力强度因子　岩体　偏置斜裂隙　贯通率

Abstract: The roof of underground roadway (chambers) often breaks due to bending and delamination,and the location of the break is closely related to the geometric shape and position of the cracks. To reveal the impact of cracks on rock fracture, a three-point bending model of rock mass with offset oblique cracks was established. The offset coefficient and connectivity ratio of cracks were defined,and the relationship between the offset coefficient,inclination angle,and connectivity of cracks was analyzed. Based on the principle of mechanical equilibrium and the σ-K relationship derives the stress intensity factor K correlation between offset oblique cracks and offset vertical cracks. At the same time,the influence of crack inclination angle,connectivity, and offset coefficient on the stress intensity factor was analyzed. This method can provide a judgment basis for the tensile fracture of the roof of the roadway (chamber) under the influence of cracks.

Key words: three-point bending,stress intensity factor,rock mass,offset oblique crack,connectivity ratio

王　超, 伍永平, 赵自豪, 曹　健, 段会强, 杨盼盼. 三点弯曲载荷下岩体偏置斜裂隙的应力强度因子[J]. 金属矿山, 2024, 53(2): 114-.

WANG Chao, WU Yongping, ZHAO Zihao, CAO Jian, DUAN Huiqiang, YANG Panpan. Stress Intensity Factor of Rock Mass Offset Oblique Crack under Three-Point Bending Load[J]. Metal Mine, 2024, 53(2): 114-.