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有色金属(矿山部分):2022,74(4):88-94
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Ⅰ-Ⅱ型复合裂纹对脆性岩石受压破坏的影响
王体富, 周宗红
((昆明理工大学 国土资源工程学院,昆明 650000))
Influence of mode Ⅰ-Ⅱ compound crack on the failure of brittle rock under compression
WANG Tifu, ZHOU Zonghong
((Faculty of Land Resources Engineering, Kunming University of Science and Technology, Kunming 650000, China))
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投稿时间:2022-04-06    修订日期:2022-04-14
中文摘要: 脆性岩石内部的细观裂纹是导致其失稳破坏的重要因素之一,基于细观机制研究岩石受载后微裂纹的扩展、贯通有着重要的意义。脆性岩石内部主要存在Ⅰ-Ⅱ型复合裂纹,目前该复合裂纹的扩展、贯通对岩石受压产生失稳破坏的影响研究相对较少。依据最大周向拉应力准则,结合拉剪复合作用下的Ⅱ型裂纹强度因子将Ⅰ-Ⅱ型复合裂纹的强度因子表达式作了变换,得到了受裂纹参数影响的Ⅰ-Ⅱ型复合裂纹的强度因子表达式,并通过裂纹强度因子与裂纹扩展之间的关系式得到了受Ⅰ-Ⅱ型复合裂纹参数影响的应力与裂纹扩展长度的关系式,再结合损伤—应变关系推导出受其裂纹参数影响的应力—应变关系式。通过对比大理岩的常规三轴实验结果,发现二者比较吻合,充分验证了该模型的合理性。结果表明,岩石的承载力随着岩石内部初始损伤、裂纹尺寸以及翼型裂纹长度的增大而减小,随着裂纹间摩擦系数的增大而增大。并且在相同轴压的情况下,随着围压的增大,裂纹扩展长度减小,说明围压有效地遏制了岩石内部裂纹的扩展、贯通。本文从细观力学的角度解释了Ⅰ-Ⅱ型复合裂纹参数对岩石承载能力的影响,并将裂纹开裂角考虑到了其中,为从细观机制方面研究岩石的受压破坏提供了一定的参考。
Abstract:The meso-crack in brittle rock is one of the important factors leading to its instability and failure. It is of great significance to study the propagation and penetration of micro-crack after loading based on meso-mechanism. There are mainly type Ⅰ-Ⅱ compound cracks in brittle rocks. at present, there are relatively few studies on the influence of the propagation and penetration of the composite cracks on the instability and failure of rock under compression. According to the maximum circumferential tensile stress criterion, combined with the mode Ⅱ crack intensity factor under tension-shear combined action, the expression of the intensity factor of mode Ⅰ-Ⅱ composite crack is transformed in this paper. the expression of the intensity factor of mode Ⅰ-Ⅱ composite crack affected by crack parameters is obtained. Through the relationship between crack intensity factor and crack propagation, the relationship between stress and crack propagation length with the influence of mode Ⅰ-Ⅱ composite crack parameters is obtained. combined with the damage-strain relationship, the stress-strain relationship affected by the crack parameters is derived.?By comparing the conventional triaxial experimental results of marble, it is found that the two results are in good agreement with each other, which fully verifies the rationality of the model.?The results show that the bearing capacity of rock decreases with the increase of initial damage, crack size, and airfoil crack length, and increases with the increase of friction coefficient between cracks.?And in the case of the same axial pressure, the crack propagation length decreases with the increase of confining pressure, indicating that the confining pressure can effectively restrain the propagation and penetration of internal cracks in the rock.?In this paper, the influence of mode Ⅰ-Ⅱ compound crack parameters on the bearing capacity of rock are explained from the point of view of meso-mechanics, and the crack opening angle is taken into account, which provides a certain reference value for studying the compressive failure of rock from the meso-mechanism.
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基金项目:国家自然科学基金资助项目(51864023,51264018)
引用文本:
王体富,周宗红.Ⅰ-Ⅱ型复合裂纹对脆性岩石受压破坏的影响[J].有色金属(矿山部分),2022,74(4):88-94.
WANG Tifu,ZHOU Zonghong.Influence of mode Ⅰ-Ⅱ compound crack on the failure of brittle rock under compression[J].NONFERROUS METALS(Mining Section),2022,74(4):88-94.

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