论文标题

基于格里菲斯的分析巴西测试中的裂纹启动位置

Griffith-based analysis of crack initiation location in a Brazilian test

论文作者

Navidtehrani, Y., Betegón, C., Zimmerman, R. W., Martínez-Pañeda, E.

论文摘要

巴西测试在引起重大辩论的同时非常受欢迎。争议的主要来源植根于其间接性质。假设开裂在样品中心启动时,推断出材料拉伸强度。在这里,我们使用Griffith标准和有限元分析来绘制导致中心裂纹成核的条件(下颌几何和材料特性)。与以前的研究不同,我们不限于评估磁盘中心的压力状态。广义格里菲斯标准的故障包膜用于建立裂纹成核位置。我们发现,巴西测试有效的一系列条件范围比以前假设的要窄得多,当前的做法和标准不适合多种类似岩石的材料。获得的结果用于制定实验者可以遵循的方案,以获得对材料拉伸强度的有效估计。这是通过特定的案例研究和文献中有效和无效测试的示例来展示的。此外,通过提供一个MATLAB应用来确定实验对任意测试条件的有效性,可以促进该协议的摄取。

The Brazilian test has been extremely popular while prompting significant debate. The main source of controversy is rooted in its indirect nature; the material tensile strength is inferred upon assuming that cracking initiates at the centre of the sample. Here, we use the Griffith criterion and finite element analysis to map the conditions (jaws geometry and material properties) that result in the nucleation of a centre crack. Unlike previous studies, we do not restrict ourselves to evaluating the stress state at the disk centre; the failure envelope of the generalised Griffith criterion is used to establish the crack nucleation location. We find that the range of conditions where the Brazilian test is valid is much narrower than previously assumed, with current practices and standards being inappropriate for a wide range of rock-like materials. The results obtained are used to develop a protocol that experimentalists can follow to obtain a valid estimate of the material tensile strength. This is showcased with specific case studies and examples of valid and invalid tests from the literature. Furthermore, the uptake of this protocol is facilitated by providing a MATLAB App that determines the validity of the experiment for arbitrary test conditions.

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