{"title":"水力机械耦合下的交叉裂纹群相互作用和引发机制","authors":"Qingqing Shen, Lvlin Xiang, Qiyun Wang, Jiajun Zeng, Zhengyang Tang","doi":"10.1016/j.tafmec.2024.104720","DOIUrl":null,"url":null,"abstract":"<div><div>Based on the distributed dislocation function, the complex function of arbitrary position and branch cross-crack group under hydraulic-mechanical in the infinite plate is derived and the maximum Mode I and Mode II stress intensity factors (SIFs) of cross-crack group are obtained. The influence of cross-crack group geometry parameters on the maximum SIFs is analyzed and the multiple cross-cracks dangerous zone is obtained. Using the maximum shear and tensile SIF ratio criterion as a basis, the initiation process of double cross-cracks is predicted and verified by red sandstone double cross-cracks uniaxial compression test. Results show that for the double cross-crack in an infinite plate, <em>h/a</em> should be greater than 8 and the value of <em>α</em><sub>2</sub> should not range from 75° to 90° to avoid possible cracking. For the triple cross-crack in an infinite plate, when the water pressure is low (less than 5 MPa), the influence of the stress field exceeds the influence of water pressure. For red sandstone samples with double cross-cracks under uniaxial compression, the inner tips of cross-cracks always connected and penetrated and the inner and outer tips of cross-cracks often eventually joined together. The multiple cross-crack initiation criterion was validated by the good agreement between the test results and the prediction results of red sandstone with double cross-cracks. All the initiation mechanisms are Mode I fracture.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":null,"pages":null},"PeriodicalIF":5.0000,"publicationDate":"2024-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Cross-crack group interaction and initiation mechanism under hydraulic-mechanical coupling\",\"authors\":\"Qingqing Shen, Lvlin Xiang, Qiyun Wang, Jiajun Zeng, Zhengyang Tang\",\"doi\":\"10.1016/j.tafmec.2024.104720\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Based on the distributed dislocation function, the complex function of arbitrary position and branch cross-crack group under hydraulic-mechanical in the infinite plate is derived and the maximum Mode I and Mode II stress intensity factors (SIFs) of cross-crack group are obtained. The influence of cross-crack group geometry parameters on the maximum SIFs is analyzed and the multiple cross-cracks dangerous zone is obtained. Using the maximum shear and tensile SIF ratio criterion as a basis, the initiation process of double cross-cracks is predicted and verified by red sandstone double cross-cracks uniaxial compression test. Results show that for the double cross-crack in an infinite plate, <em>h/a</em> should be greater than 8 and the value of <em>α</em><sub>2</sub> should not range from 75° to 90° to avoid possible cracking. For the triple cross-crack in an infinite plate, when the water pressure is low (less than 5 MPa), the influence of the stress field exceeds the influence of water pressure. For red sandstone samples with double cross-cracks under uniaxial compression, the inner tips of cross-cracks always connected and penetrated and the inner and outer tips of cross-cracks often eventually joined together. The multiple cross-crack initiation criterion was validated by the good agreement between the test results and the prediction results of red sandstone with double cross-cracks. All the initiation mechanisms are Mode I fracture.</div></div>\",\"PeriodicalId\":22879,\"journal\":{\"name\":\"Theoretical and Applied Fracture Mechanics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":5.0000,\"publicationDate\":\"2024-10-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Theoretical and Applied Fracture Mechanics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0167844224004701\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MECHANICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical and Applied Fracture Mechanics","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167844224004701","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0
摘要
基于分布式位错函数,推导了无限板在水力机械作用下任意位置和分支交叉裂纹组的复函数,并得到了交叉裂纹组的最大模态 I 和模态 II 应力强度因子(SIF)。分析了交叉裂纹组几何参数对最大 SIF 的影响,并得出了多交叉裂纹危险区。以最大剪切和拉伸 SIF 比准则为基础,预测了双交叉裂缝的起始过程,并通过红砂岩双交叉裂缝单轴压缩试验进行了验证。结果表明,对于无限板中的双交叉裂缝,h/a 应大于 8,α2 的值不应在 75° 至 90° 之间,以避免可能出现的裂缝。对于无限板中的三重交叉裂缝,当水压较低时(小于 5 兆帕),应力场的影响超过水压的影响。对于在单轴压缩条件下出现双交叉裂缝的红砂岩样品,交叉裂缝的内侧尖端总是相连并贯通,交叉裂缝的内侧尖端和外侧尖端往往最终连接在一起。红砂岩双交叉裂缝的测试结果与预测结果之间的良好一致性验证了多重交叉裂缝起始标准。所有的起始机制都是模式 I 断裂。
Cross-crack group interaction and initiation mechanism under hydraulic-mechanical coupling
Based on the distributed dislocation function, the complex function of arbitrary position and branch cross-crack group under hydraulic-mechanical in the infinite plate is derived and the maximum Mode I and Mode II stress intensity factors (SIFs) of cross-crack group are obtained. The influence of cross-crack group geometry parameters on the maximum SIFs is analyzed and the multiple cross-cracks dangerous zone is obtained. Using the maximum shear and tensile SIF ratio criterion as a basis, the initiation process of double cross-cracks is predicted and verified by red sandstone double cross-cracks uniaxial compression test. Results show that for the double cross-crack in an infinite plate, h/a should be greater than 8 and the value of α2 should not range from 75° to 90° to avoid possible cracking. For the triple cross-crack in an infinite plate, when the water pressure is low (less than 5 MPa), the influence of the stress field exceeds the influence of water pressure. For red sandstone samples with double cross-cracks under uniaxial compression, the inner tips of cross-cracks always connected and penetrated and the inner and outer tips of cross-cracks often eventually joined together. The multiple cross-crack initiation criterion was validated by the good agreement between the test results and the prediction results of red sandstone with double cross-cracks. All the initiation mechanisms are Mode I fracture.
期刊介绍:
Theoretical and Applied Fracture Mechanics'' aims & scopes have been re-designed to cover both the theoretical, applied, and numerical aspects associated with those cracking related phenomena taking place, at a micro-, meso-, and macroscopic level, in materials/components/structures of any kind.
The journal aims to cover the cracking/mechanical behaviour of materials/components/structures in those situations involving both time-independent and time-dependent system of external forces/moments (such as, for instance, quasi-static, impulsive, impact, blasting, creep, contact, and fatigue loading). Since, under the above circumstances, the mechanical behaviour of cracked materials/components/structures is also affected by the environmental conditions, the journal would consider also those theoretical/experimental research works investigating the effect of external variables such as, for instance, the effect of corrosive environments as well as of high/low-temperature.