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Crack path instabilities in a quenched glass plate

机译:淬火玻璃板上的裂纹路径不稳定性

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A crack driven by steadily quenching a hot glass plate into a water bath exhibits fascinating path instabilities that depend on the severity of the temperature jump involved in the quenching process. An experimental and analytical investigation of these crack path instabilities is presented in this paper. First, real--time observations of the growth of the crack at different temperature jumps are presented. With increasing temperature jump, the crack path changes from a straight path to a periodic oscillatory path, then to a chaotic oscillatory path, to an unstable (dynamic) straight crack path, and finally to multiple crack paths. The experimental observations show that the crack growth is not a steady process even though the quenching occurs at a constant speed. The experimental observations provide crucial insight and the basis for the analysis of the problem. The problem is then examined analytically by solving the underlying thermoelastic problem, within the framework of linear eIastic fracture mechanics. The results of the numerical simulations in conjunction with the experimental observations are used to show that (i) the T-stress criterion commonly used for evaluating crack path insta- bility is inapplicable to this problem, (ii) the crack path stability can he determined by using the maximum tangential stress criterion for crack advance and examining the divergence of adjacent crack paths, (iii) the initiation of a structurally unstable crack can be determined, and (iv) the complete oscillatory crack path can be obtained through an incremental solution of the thermoelastic problem.
机译:通过将热玻璃板稳定淬火到水浴中而产生的裂纹表现出令人着迷的路径不稳定性,这取决于淬火过程中温度跃迁的严重程度。本文对这些裂纹路径的不稳定性进行了实验和分析研究。首先,提出了在不同温度跃迁下裂纹扩展的实时观测。随着温度跃变的增加,裂纹路径从一条直线路径变为周期性的振荡路径,然后变为混沌的振荡路径,再到不稳定的(动态)直线裂纹路径,最后变为多条裂纹路径。实验观察表明,即使淬火以恒定速度发生,裂纹扩展也不是稳定的过程。实验观察提供了关键的见解和问题分析的基础。然后,在线性弹性断裂力学的框架内,通过解决基本的热弹性问题,对该问题进行分析性检查。数值模拟的结果结合实验观察结果表明:(i)通常用于评估裂纹路径不稳定性的T应力准则不适用于该问题;(ii)可以确定裂纹路径的稳定性通过使用最大切向应力准则进行裂纹扩展并检查相邻裂纹路径的差异,(iii)可以确定结构上不稳定的裂纹的萌生,并且(iv)可以通过以下公式的增量解获得完整的振荡裂纹路径:热弹性问题。

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