This paper has proposed an efficient analysis method to calculate interface stress intensity factors (SIFs) based on a proportional stress field of a reference problem whose exact solution is available. In the previous proportional methods, the same crack length and the same element size were applied to both reference and unknown problems so that the same FEM error can be produced. Therefore, when analyzing many unknown problems, the conventional method needs to analyze many reference problems at the same time. Since this approach is time-consuming, this paper considers how to calculate many crack lengths efficiently by using only one single reference solution modeling. For this purpose, several general relations of SIFs are derived for the unknown and the reference problems when both crack length and element size are different. To analyze many unknown problems accurately by using a single reference solution modeling, how to choose the most suitable element dimension of the reference model is clarified. The proposed method is especially useful for crack propagation analysis.

本文提出了一种基于参考问题的比例应力场（其精确解可用）计算界面应力强度因子（SIF）的有效分析方法。在以前的比例方法中，相同的裂纹长度和相同的单元尺寸应用于参考问题和未知问题，以便产生相同的有限元误差。因此，常规方法在分析许多未知问题时，需要同时分析许多参考问题。由于这种方法非常耗时，因此本文考虑如何仅使用一个参考解建模来有效地计算许多裂纹长度。为此，针对裂纹长度和单元尺寸不同时的未知问题和参考问题，推导了几种SIF的一般关系式。为了利用单一参考解建模准确地分析许多未知问题，明确了如何选择最合适的参考模型单元尺寸。所提出的方法对于裂纹扩展分析特别有用。