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哈密顿体系在断裂力学Dugdale模型中的应用

Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2003-09-30

Journal: 应用力学学报

Included Journals: CSCD、ISTIC、PKU

Volume: 20

Issue: 3

Page Number: 151-154

ISSN: 1000-4939

Key Words: 哈密顿体系;Dugdale模型;塑性区尺寸;裂纹张开位移;半解析有限元法

Abstract: 利用平面扇形域哈密顿体系的方程,通过分离变量法及共轭辛本征函数向量展开法,以解析的方法推导出基于Dugdale模型的平面裂纹弹塑性解析元列式.将该解析元与有限元相结合,构成半解析的有限元法,可求解任意几何形状和荷载平板裂纹的Dugdale模型问题.数值计算结果表明本文方法对该类问题的求解是十分有效的,并有较高的精度.

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