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Estimations of the T-stress for small cracks at notches

机译：缺口处小裂纹的T应力估算

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摘要

The T-stress is increasingly being recognized as an important additional stress field characterizing parameter in the analyses of cracked bodies. Using T-stress as the constraint parameter, the framework of failure assessments including the constraint effect has been established; and the effect of T-stress on fatigue crack propagation rate has been investigated by several researchers. In this paper, a simple method for determining the T-stress for small notch-emanating cracks is presented. First, the background on the T-stress calculation using the superposition principle and the similarities between the elastic notch-tip stress fields described by two parameters: the stress concentration factor (K_t) and the notch-tip radius (p), are summarized. Then, the method of estimating T-stress for both short and long cracks at the notches is presented. The method is used to predict T-stress solutions for cracks emanating from an internal hole in a wide plate, and cracks emanating from an U-shaped edge notch in a finite thickness plate. The results are compared to the T-stress results in the literature, and the T-stresses solutions obtained from finite element analysis. Excellent agreements have been achieved for small cracks. The method presented here can be used for a variety of notch crack geometries and loading conditions.
机译：在裂纹体分析中，T应力越来越被认为是重要的附加应力场表征参数。以T应力为约束参数，建立了包括约束效应在内的失效评估框架。若干研究人员已经研究了T应力对疲劳裂纹扩展速率的影响。本文提出了一种确定小缺口裂纹T应力的简单方法。首先，总结了使用叠加原理计算T应力的背景，以及由两个参数（应力集中系数（K_t）和缺口尖端半径（p））描述的弹性缺口尖端应力场之间的相似性。然后，提出了估计缺口处的短裂纹和长裂纹的T应力的方法。该方法用于预测T应力解，该T应力解适用于从宽板中的内部孔产生的裂纹以及由有限厚度的板中的U形边缘缺口产生的裂纹。将结果与文献中的T应力结果进行比较，并从有限元分析中获得T应力解。小裂缝已达成了极好的协议。此处介绍的方法可用于各种缺口裂纹的几何形状和载荷条件。

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