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Rock fracture with statistical determination of fictitious crack growth
Theoretical and Applied Fracture Mechanics ( IF 5.0 ) Pub Date : 2021-01-06 , DOI: 10.1016/j.tafmec.2021.102895
Junfeng Guan , Peng Yuan , Lielie Li , Xianhua Yao , Yulong Zhang , Wei Meng

A simple method for determining the material constants of rock (e.g., fracture toughness KIC and tensile strength ft) using normal distribution with respect to average grain size gav is proposed as an alternative to the commonly used of curve fitting using rock test data. Supposing different characteristic crack a and considering different fictitious crack growth length Δafic at peak load Pmax for different relative size W/gav, the normal distribution histograms of KIC and ft with the smallest discrete coefficient are statistically obtained. The Δafic of rock specimens with different size are quantitatively studied, and the corresponding design relations of Δafic for rock specimens with different W/gav are statistically derived. The full fracture curves of rock with different W/gav are constructed using the designed relation. The simple closed-form solutions for different notched rock specimens (e.g., three-point bending and compact tension) are proposed. The experimental Pmax using normal distribution methodology with 95% reliability and simple closed-form solutions with upper and lower limits are reliably predicted. KIC, ft, and Pmax of real rock structures with W/gav = 1000 are reliably obtained using the simple closed-form solutions.



中文翻译:

统计确定虚拟裂纹扩展的岩石破裂

提出了一种使用相对于平均晶粒度g av的正态分布确定岩石材料常数(例如,断裂韧性K IC和抗拉强度f t)的简单方法,以代替通常使用岩石测试数据进行曲线拟合的方法。 。假设不同的特征裂纹一种并考虑不同的虚拟裂缝生长长度Δ一个FIC在峰值负载P最大为不同相对尺寸w ^ /AV,正常分布直方图的ķ IC˚F进行统计获得具有最小的离散系数。所述Δ一个FIC岩石标本不同尺寸的定量研究,Δ的相应的设计关系一个FIC用于岩石样品具有不同W¯¯ /AV进行统计的。不同岩石的全断裂曲线W / g av使用设计的关系构造。提出了针对不同缺口岩石样本的简单封闭形式解(例如,三点弯曲和紧凑张力)。可靠地预测了使用具有95%可靠性的正态分布方法和上限和下限的简单闭式解的实验P max。 使用简单的封闭形式解可以可靠地获得W / g av = 1000的真实岩石结构的K ICf tP max

更新日期:2021-01-21
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