Rock fracture with statistical determination of fictitious crack growth

被引：26

作者：

Guan, Junfeng ^{[1
]}

Yuan, Peng ^{[1
]}

Li, Lielie ^{[1
]}

Yao, Xianhua ^{[1
]}

Zhang, Yulong ^{[1
]}

Meng, Wei ^{[1
]}

机构：

[1] North China Univ Water Resources & Elect Power, Sch Civil Engn & Commun, Zhengzhou 450045, Peoples R China

来源：

THEORETICAL AND APPLIED FRACTURE MECHANICS | 2021年 / 112卷

基金：

中国国家自然科学基金;

关键词：

Rock; Fracture; Normal distribution; Fictitious crack growth length; Grain size; Design relation; MODE-I FRACTURE; NORMAL-DISTRIBUTION PERTINENT; STRESS INTENSITY FACTORS; TENSILE-STRENGTH; PROCESS ZONE; TOUGHNESS; SIZE; CONCRETE; PROPAGATION; PREDICTION;

D O I：

10.1016/j.tafmec.2021.102895

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

A simple method for determining the material constants of rock (e.g., fracture toughness K-IC and tensile strength f(t)) using normal distribution with respect to average grain size g(av) is proposed as an alternative to the commonly used of curve fitting using rock test data. Supposing different characteristic crack a(infinity)* and considering different fictitious crack growth length Delta a(fic) at peak load P-max for different relative size W/g(av), the normal distribution histograms of K-IC and f(t) with the smallest discrete coefficient are statistically obtained. The Delta a(fic) of rock specimens with different size are quantitatively studied, and the corresponding design relations of Delta a(fic) for rock specimens with different W/g(av) are statistically derived. The full fracture curves of rock with different W/g(av) 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 P-max using normal distribution methodology with 95% reliability and simple closed-form solutions with upper and lower limits are reliably predicted. K-IC, f(t), and P-max of real rock structures with W/g(av) = 1000 are reliably obtained using the simple closed-form solutions.

引用

页数：38

共 66 条

[1] Size-dependent fracture behavior of Guiting limestone under mixed mode loading [J].