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哈密顿体系在断裂力学Dugdale模型中的应用
引用本文:王承强,姚伟岸.哈密顿体系在断裂力学Dugdale模型中的应用[J].应用力学学报,2003,20(3):151-154.
作者姓名:王承强  姚伟岸
作者单位:大连理工大学,大连,116024
基金项目:国家自然科学基金资助 (10 172 0 2 1)
摘    要: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。

关 键 词:断裂力学  Dugdale模型  哈密顿体系  塑性区尺寸  裂纹张开位移  半解析有限元法
文章编号:1000-4939(2003)03-0151-04
修稿时间:2002年10月14

Application of the Hamilton System to Dugdale Model in Fracture Mechanics
Wang Chengqiang Yao Weian.Application of the Hamilton System to Dugdale Model in Fracture Mechanics[J].Chinese Journal of Applied Mechanics,2003,20(3):151-154.
Authors:Wang Chengqiang Yao Weian
Abstract:Using the governing equations of plane elasticity for sectorial domain in Hamiltonian form, the methods of separation of variables and eigenfunction expansion are developed for solving the elastic-plastic finite element analytically for the Dugdale model solutions, so that such kind of analytical element can be installed into FEM program systems. This semi-analytical finite element method can be used for Dugdale model solutions for cracked plates of arbitrary shape and load. Numerical results indicate that the method of the paper is efficient for such kind of problem and is in high precision.
Keywords:hamiltonian system  dugdale model  plastic zone size  crack opening displacement  semi-analytical finite element method  
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