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Crack growth stability analysis with respect to boundary disturbance

机译：关于边界扰动的裂纹扩展稳定性分析

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摘要

Fracture analysis is a high non-linear problem and affected by uncertainties. Because of the limitation of observing technology, accuracy boundary condition can hardly be obtained. Normally, a stochastic model can be used. The difference between reality and numerical model is deemed as disturbance. This paper presents a three-dimension dynamic stability analysis of crack growth under disturbance in boundary condition by using particle discretization scheme finite element method. The model is a thin epoxy plate with two anti-symmetric notches located in the middle, under uni-axial tensile in longitudinal direction. Two types of disturbance are considered: (i), the disturbance is added to the initial cracks' configuration. The disturbance is modeled by adjusting the position, size and shape of the notches. It shows that changes of the notches' size and position have significant influence on crack growth in the investigated cases; (ii), the disturbance is applied to the displacement boundary condition, which is far from initial cracks. The variability of crack paths of different model sizes under the same disturbance is estimated. The results of the numerical experiment indicate that as the model size increases, the influence of the disturbance becomes weaker. The Saint-Venant principle still holds in the studied crack growth problem.
机译：断裂分析是一个高度非线性问题，受不确定性影响。由于观测技术的局限性，很难获得准确的边界条件。通常，可以使用随机模型。实际模型与数值模型之间的差异被视为干扰。利用粒子离散化有限元方法，提出了边界条件下裂纹扩展的三维动态稳定性分析。该模型是一块环氧薄板，在纵向单轴拉伸下，中间有两个反对称的槽口。考虑了两种类型的扰动：（i）将扰动添加到初始裂纹的配置中。通过调整槽口的位置，大小和形状来模拟干扰。结果表明，在所研究的情况下，缺口尺寸和位置的变化对裂纹的扩展有显着影响。 （ii）将扰动应用于位移边界条件，该位移边界条件与初始裂纹相距甚远。估计在相同扰动下不同模型尺寸的裂纹路径的变异性。数值实验结果表明，随着模型尺寸的增大，扰动的影响逐渐减弱。 Saint-Venant原理仍然保留在研究的裂纹扩展问题中。

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