论文标题

评论“讨论使用应变能释放速率用于疲劳分层表征”

A comment on "Discussion on the use of the strain energy release rate for fatigue delamination characterization"

论文作者

Ciavarella, M., Papangelo, A., Cricri, G.

论文摘要

在最近的一个非常有趣且引人注目的建议中,Yao等人。 (2014年)已经讨论了使用应变能释放速率(SERR)作为表征复合材料中疲劳分层生长的参数。他们认为由于纤维桥接而受到R-Curve行为的强烈影响的疲劳分层数据,并认为一种更好的方法是将裂纹的前进与测试机中测得的每个周期的总工作相关联。这似乎比估计从经典线性弹性断裂力学框架中SERR的修改合规性ASTM标准方程的实验曲线的线性曲线的符合性更好。但是,我们表明,如果我们确实假设线性行为(即lefm),那么它们引入的方法完全等同于SERR ONE,即Paris类型的法律。众所周知的Barenblatt和Botvina形式,疲劳裂纹的生长是缩放的弱形式,并且只有在裂缝比任何其他特征大小的时间都长得多时才能提供巴黎经典的依赖性。巴黎的定律不是物理的基本定律,不是像格里菲斯这样的能量平衡方程,而巴Zant(Bazant)在混凝土中已经发现了由于凝聚区引起的强大影响。该提案非常简单,有趣,因为似乎可以预测在裂纹尖端上使用凝聚力模型的适当缩放,尽管这似乎并未在文献中尝试过。本提案的主要缺点是它不是预测性的,而是纯观察性的,因为它需要在疲劳过程中对工作输入进行实际测量。

In a recent very interesting and illuminating proposal, Yao et al. (2014) have discussed the use of the strain energy release rate (SERR) as a parameter to characterize fatigue delamination growth in composite materials. They consider fatigue delamination data strongly affected by R-curve behaviour due to fibres bridging and argue that a better approach is to correlate the crack advance with the total work per cycle measured in the testing machine. This seems to work better than estimating the compliance as a linear fit of experimental curves from Modified Compliance Calibration ASTM standards equations for the SERR in the classical Linear Elastic Fracture Mechanics framework. We show however that if we assume indeed linear behaviour (i.e. LEFM), the approach they introduce is perfectly equivalent to the SERR one, i.e. Paris type of laws. As well known form Barenblatt and Botvina, fatigue crack growth is a weak form of scaling, and it gives Paris classical dependence only when the crack is much longer than any other characteristic sizes. Paris' law is not a fundamental law of physics, is not an energy balance equation like Griffith, and strong size effects due to cohesive zones have been found already in concrete by Bazant. The proposal is very simple, and interesting as it would seem to suggest that a proper scaling with a cohesive model at crack tip could be predicted, although this doesn't seem to have been attempted in the Literature. The main drawback of the present proposal is that it is not predictive, but purely observational, as it requires the actual measurement of work input during the fatigue process.

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