Lvlin Xiang, Qingqing Shen, Jiajun Zeng, Qiyun Wang
{"title":"三维穿透单裂缝的起始机理预测","authors":"Lvlin Xiang, Qingqing Shen, Jiajun Zeng, Qiyun Wang","doi":"10.1007/s12517-024-11970-z","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, a novel calculating method for the three-dimensional stress intensity factor (SIF) was put out. By using the finite element approach, it was possible to compute the Mode I, Mode II, and Mode III SIF under the impact of a single factor (height, width, thickness, crack length, and inclination angle) and derive its variation rule. The SIF was computed by using the uniform design method, which also yielded the fitting formula that could determine the fracture at any geometric position on any plate. Then, a new three-dimensional penetrating crack fracture criterion was established to forecast both Mode I, Mode II, and Mode III initiation parameters of three-dimensional penetrating oblique crack. Uniaxial compression tests were done in order to validate the forecasted outcomes, including the crack initiation angle and load. The results demonstrate that the normalized <i>K</i><sub>I</sub> always decreases with <i>z/t</i> (the crack front spacing), while the normalized <i>K</i><sub>II</sub> and <i>K</i><sub>III</sub> increase first and then decrease. <i>K</i><sub>I</sub> and <i>K</i><sub>III</sub> increase with the crack length 2<i>a</i>, while <i>K</i><sub>II</sub> decreases first and then increases with the crack length. <i>K</i><sub>I</sub> and <i>K</i><sub>II</sub> both increase with the plate height. <i>K</i><sub>I</sub> rises with the crack inclination angle, while <i>K</i><sub>II</sub> and <i>K</i><sub>III</sub> initially raise and then lower. Along with the crack inclination angle, the crack initiation angle decreases, and the crack initiation stress rises. All of fracture mechanisms are Mode I.</p></div>","PeriodicalId":476,"journal":{"name":"Arabian Journal of Geosciences","volume":"17 5","pages":""},"PeriodicalIF":1.8270,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Prediction of initiation mechanism of three-dimensional penetrating single crack\",\"authors\":\"Lvlin Xiang, Qingqing Shen, Jiajun Zeng, Qiyun Wang\",\"doi\":\"10.1007/s12517-024-11970-z\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, a novel calculating method for the three-dimensional stress intensity factor (SIF) was put out. By using the finite element approach, it was possible to compute the Mode I, Mode II, and Mode III SIF under the impact of a single factor (height, width, thickness, crack length, and inclination angle) and derive its variation rule. The SIF was computed by using the uniform design method, which also yielded the fitting formula that could determine the fracture at any geometric position on any plate. Then, a new three-dimensional penetrating crack fracture criterion was established to forecast both Mode I, Mode II, and Mode III initiation parameters of three-dimensional penetrating oblique crack. Uniaxial compression tests were done in order to validate the forecasted outcomes, including the crack initiation angle and load. The results demonstrate that the normalized <i>K</i><sub>I</sub> always decreases with <i>z/t</i> (the crack front spacing), while the normalized <i>K</i><sub>II</sub> and <i>K</i><sub>III</sub> increase first and then decrease. <i>K</i><sub>I</sub> and <i>K</i><sub>III</sub> increase with the crack length 2<i>a</i>, while <i>K</i><sub>II</sub> decreases first and then increases with the crack length. <i>K</i><sub>I</sub> and <i>K</i><sub>II</sub> both increase with the plate height. <i>K</i><sub>I</sub> rises with the crack inclination angle, while <i>K</i><sub>II</sub> and <i>K</i><sub>III</sub> initially raise and then lower. Along with the crack inclination angle, the crack initiation angle decreases, and the crack initiation stress rises. 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引用次数: 0
摘要
本文提出了一种新颖的三维应力强度因子(SIF)计算方法。通过使用有限元方法,可以计算单一因素(高度、宽度、厚度、裂缝长度和倾斜角)影响下的模式 I、模式 II 和模式 III SIF,并推导出其变化规律。利用均匀设计法计算了 SIF,并得出了拟合公式,该公式可确定任何板上任何几何位置的断裂情况。然后,建立了新的三维贯穿性裂纹断裂准则,以预测三维贯穿性斜裂纹的模式 I、模式 II 和模式 III 启动参数。为了验证预测结果,包括裂纹起始角和载荷,进行了单轴压缩试验。结果表明,归一化 KI 总是随 z/t(裂纹前沿间距)的增大而减小,而归一化 KII 和 KIII 则先增大后减小。KI 和 KIII 随着裂纹长度 2a 的增加而增加,而 KII 则随着裂纹长度的增加先减小后增大。KI 和 KII 都随板高增加。KI 随裂纹倾角增大而增大,而 KII 和 KIII 则先增大后减小。随着裂纹倾角的增大,裂纹起始角减小,裂纹起始应力增大。所有断裂机制均为模式 I。
Prediction of initiation mechanism of three-dimensional penetrating single crack
In this paper, a novel calculating method for the three-dimensional stress intensity factor (SIF) was put out. By using the finite element approach, it was possible to compute the Mode I, Mode II, and Mode III SIF under the impact of a single factor (height, width, thickness, crack length, and inclination angle) and derive its variation rule. The SIF was computed by using the uniform design method, which also yielded the fitting formula that could determine the fracture at any geometric position on any plate. Then, a new three-dimensional penetrating crack fracture criterion was established to forecast both Mode I, Mode II, and Mode III initiation parameters of three-dimensional penetrating oblique crack. Uniaxial compression tests were done in order to validate the forecasted outcomes, including the crack initiation angle and load. The results demonstrate that the normalized KI always decreases with z/t (the crack front spacing), while the normalized KII and KIII increase first and then decrease. KI and KIII increase with the crack length 2a, while KII decreases first and then increases with the crack length. KI and KII both increase with the plate height. KI rises with the crack inclination angle, while KII and KIII initially raise and then lower. Along with the crack inclination angle, the crack initiation angle decreases, and the crack initiation stress rises. All of fracture mechanisms are Mode I.
期刊介绍:
The Arabian Journal of Geosciences is the official journal of the Saudi Society for Geosciences and publishes peer-reviewed original and review articles on the entire range of Earth Science themes, focused on, but not limited to, those that have regional significance to the Middle East and the Euro-Mediterranean Zone.
Key topics therefore include; geology, hydrogeology, earth system science, petroleum sciences, geophysics, seismology and crustal structures, tectonics, sedimentology, palaeontology, metamorphic and igneous petrology, natural hazards, environmental sciences and sustainable development, geoarchaeology, geomorphology, paleo-environment studies, oceanography, atmospheric sciences, GIS and remote sensing, geodesy, mineralogy, volcanology, geochemistry and metallogenesis.