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固支双裂纹试件的无限相似单元转换解
引用本文:李有堂,龚俊.固支双裂纹试件的无限相似单元转换解[J].兰州理工大学学报,1996(2).
作者姓名:李有堂  龚俊
作者单位:甘肃工业大学机电工程系
摘    要:用半分析方法求解固支双裂纹试件的应力强度因子.在这种方法中,以裂纹尖端附近的半解析表达式为插值函数,将裂纹尖端附近的自由度转化为一组广义坐标.裂纹尖端附近用自动产生的无限小相似单元适应裂纹尖端附近的应力奇异性,利用相似单元具有相同刚度矩阵的特点,只需少数单元的刚度矩阵.得到了精度较高的固支双裂纹梁的应力强度因子.

关 键 词:有限元法,固支试件,应力强度因子,相似单元,半分析法

Transrormed solution for fixed specimen with two cracks by infinitely similar element method
Li Youtang, Gong Jun.Transrormed solution for fixed specimen with two cracks by infinitely similar element method[J].Journal of Lanzhou University of Technology,1996(2).
Authors:Li Youtang  Gong Jun
Abstract:The stress intensity factor of fixed specimen with two cracks was analyzed by semi-analytic method. The semi--analytic formula was taken as the interpolation function near crack tip in this method and the degrees of freedom near crack tip was transformed into a small set of generalized coordinates. The singularity near crack tip is eliminated by infinitely similar shape element which is clivided automatically. The stiffness matrix of only a few elements was to be calculated due to the idntity of stiffness matrix of similar shape elements.the precise stress intensity factor for fixed specimen with two cracks was obtained.
Keywords:finite element method  fixed specimen  stress intensity factor  similar shape element  semi-analytic method
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