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关于“哈密顿体系在Ⅲ型裂纹端部场求解中的应用”的讨论
引用本文:姚伟岸,胡小飞.关于“哈密顿体系在Ⅲ型裂纹端部场求解中的应用”的讨论[J].机械强度,2012(4):631-632.
作者姓名:姚伟岸  胡小飞
作者单位:大连理工大学工业装备结构分析国家重点实验室
摘    要: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。

关 键 词:Ⅲ型裂纹  辛弹性力学  约旦型本征向量

DISCUSSION ON ’APPLICATION OF THE HAMILTON SYSTEM IN SOLVING THE MODE Ⅲ CRACK TIP FIELDS’
YAO WeiAn HU XiaoFei.DISCUSSION ON ’APPLICATION OF THE HAMILTON SYSTEM IN SOLVING THE MODE Ⅲ CRACK TIP FIELDS’[J].Journal of Mechanical Strength,2012(4):631-632.
Authors:YAO WeiAn HU XiaoFei
Affiliation:YAO WeiAn HU XiaoFei (State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology, Dalian,116024,China)
Abstract: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 sub-eigenvector corresponding to zero eigenvalue are specified.
Keywords:Mode Ⅲ crack  Symplectic elasticity  Jordan form sub-eigenvector
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