弹塑性线弹簧边界元法及其在表面裂纹分析中的应用

利用Rice和Levy提出的线弹簧概念及Parks等人对线弹簧的拓展，建立了弹塑性连续线弹簧模型，此模型可方便地与普通使用的三维有限元、三维边界元等数值计算方法相结合，用于弹塑性三维表面裂纹断裂参量的计算。将三维边界元法与弹塑性连续线弹簧相耦合，给出了弹塑性表面裂纹断裂参量的求解方法，为工程应用提供了一个高效的表面裂纹断裂参量的计算方法。并将计算结果与三维有限元解进行比较，结果吻合良好。

Elastic-plastic Line-spring Boundary Element Method and Its Application in Surface Crack Analysis

Using the concept of line-spring model which was gaven by Rice and Levy, and some extention of line-spring model which was developed by Parks' group, this paper proposed the elastic-plastic continue line-spring model. The model can be easily combined with 3D finite element method and 3D boundary element method. Several numerical examples for elastic-plastic fracture parameters of surface-cracked plates calculated by using of 3D boundary element method combine with this line-spring model are shown. The results are in good agreement with the ones of the 3D elastic-plastic finite element method.