裂纹尖端的位错密度及其应用

The Characteristic and Application of Dislocation Densities Surrounding the Crack Tip

本文为弹性断裂力学分析提供了一个新的变量:位错密度.并论证了这一变量在裂纹尖端具有1/r阶的奇异性.分别给出了三类裂纹问题裂尖位错密度与应力强度因子的关系,对这一变量在数值计算中的应用进行了探讨.

This paper provides a new variable (the dislocation density) for the fracture mechanics analysis, and it is proved that the dislocation density near the crack tip shows the singularity of order 1r. The relation between the stress intensity factors and the dislocation densities near the crack tip is given for the single and mixed crack problems, and a simple application is disccused.