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Evaluation of the J Integral of a Surface Crack by The Three-dimensional Local Hybrid Method

机译:三维局部杂交法评价表面裂纹的J积分

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To evaluate the 3-D stress field inside a specimen from displacement data on the free surface obtained from the 2-D intelligent hybrid method, we developed the 3-D local hybrid method based on inverse problem analysis. In a previous study, when a uniform load was applied to a structure with a surface crack, it was demonstrated that the stress field was analyzed with high accuracy. In this study, the 3-D local hybrid method was applied to a structure with a surface crack subjected to bending load. However, a suitable solution was not able to be obtained on a bending problem. Therefore, another method was applied. The relative error between the J integral value of the whole model and the local model was compared, and accuracy was investigated. First, the variation of accuracy with width and thickness was examined. If thickness is increased, the relative error decreases as found in the uniform load case. Moreover, as width increases, the relative error decreases. However, even if width and thickness become large, accuracy does not necessarily become better. Therefore, the relative error was compared and a suitable hybrid size was examined.
机译:为了评估从位移数据上的样品内的3-D应力场,从2-D智能杂交方法获得的自由表面,我们开发了基于逆问题分析的3-D局部混合方法。在先前的研究中,当将均匀的负载施加到具有表面裂纹的结构时,证明应力场以高精度分析。在该研究中,将3-D局部混合方法应用于具有弯曲载荷的表面裂纹的结构。然而,在弯曲问题上不能获得合适的溶液。因此,应用另一种方法。比较了整个模型的J积分值与本地​​模型之间的相对误差,并研究了准确性。首先,检查具有宽度和厚度的精度的变化。如果厚度增加,则相对误差在均匀的负载壳体中发现。此外,随着宽度的增加,相对误差减小。然而,即使宽度和厚度变大,即使宽度和厚度变大,也不一定会变得更好。因此,比较了相对误差,检查了合适的混合尺寸。

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