关于“哈密顿体系在Ⅲ型裂纹端部场求解中的应用”的讨论

DISCUSSION ON 'APPLICATION OF THE HAMILTON SYSTEM IN SOLVING THE MODE Ⅲ CRACK TIP FIELDS'

指出"哈密顿体系在Ⅲ型裂纹端部场求解中的应用"一文中的两个错误,一是所给出的问题边界条件是不正确的;二是由于使用了不正确的边界条件而导致约旦型本征解不存在的错误结论。最后,给出问题正确的零本征值的本征向量和约旦型本征向量。

Two mistakes in＇ Application of the Hamilton system in solving the mode Ⅲ crack tip fields＇ are pointed out in this discussion. One is that the boundary condition given by the literature is incorrect, as a result, it causes the other one which states that ＇ the Jordan form sub-eigenvector does not exit＇ . Besides, the correct eigenvector as well as the Jordan form subeigenvector corresponding to zero eigenvalue are specified.