Load Normalization Method Accounting for Elastic and Elastic-Plastic Crack Growth

K. Wallin, Steven X. Xu
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Abstract

A single specimen technique to estimate crack length, standardized in ASTM E1820, is the so called load-normalization technique, also known as the Key-curve technique. The method is based on the separability between deformation and crack length. This means that if the load is normalized by a suitable function of crack length, the result will be a single crack length independent load-displacement curve. If this “Key”-curve is known, then based only on load and displacement information it is possible to estimate the corresponding crack length. The load normalizing method assumes a plastic response of the specimen during crack growth. If there is crack growth already in the elastic regime, non-linearity in the load-displacement record is not due to plasticity, but due to the crack growth. In this case the standard load-normalization method does not work since it assumes that the non-linearity is due to plasticity or crack tip blunting. Such materials require a modified approach. Here, a modified load normalization method accounting for possible elastic crack growth is presented. The method is shown to produce realistic crack growth estimates regardless of plasticity level of the specimen. The method applies an improved load normalization equation compared to the one presently used in ASTM E1820.
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考虑弹性和弹塑性裂纹扩展的载荷归一化方法
在ASTM E1820中标准化的估计裂纹长度的单试样技术是所谓的载荷归一化技术,也称为关键曲线技术。该方法基于变形和裂纹长度之间的可分性。这意味着,如果用合适的裂缝长度函数将荷载归一化,结果将是一条与裂缝长度无关的荷载-位移曲线。如果这个“关键”曲线是已知的,那么仅根据荷载和位移信息就可以估计相应的裂缝长度。载荷正火方法假定试样在裂纹扩展过程中具有塑性响应。如果在弹性状态下已经存在裂纹扩展,则载荷-位移记录中的非线性不是由于塑性,而是由于裂纹扩展。在这种情况下,标准载荷归一化方法不起作用,因为它假设非线性是由于塑性或裂纹尖端钝化。这种材料需要一种改进的方法。本文提出了一种考虑弹性裂纹扩展的修正载荷归一化方法。结果表明,无论试样的塑性水平如何,该方法都能产生真实的裂纹扩展估计。与ASTM E1820目前使用的载荷归一化方程相比,该方法采用了改进的载荷归一化方程。
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