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Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (9): 839-846.

• 论文 • 上一篇    下一篇

CONSERVATION INTEGRALS AND DETERMINATION OF HRR SINGULARITY FIELDS

王克仁, 王自强   

  1. Institute of Mechanics, Academia Sinica, Beijin
  • 收稿日期:1986-10-13 出版日期:1987-09-18 发布日期:1987-09-18

CONSERVATION INTEGRALS AND DETERMINATION OF HRR SINGULARITY FIELDS

Wang Ke-ren, Wang Tzu-chiang   

  1. Institute of Mechanics, Academia Sinica, Beijin
  • Received:1986-10-13 Online:1987-09-18 Published:1987-09-18

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摘要： The angular distribution functions of HRR singularity fields are analyzed via conservation integrals. Two functional equations are proved for the angular distribution-functions andean be used for their solutions. The detailed forms of the functional equations and the final governing equations for solutions are given for the cases of plane strain and plane stress. Accurate numerical results are also given for some typical parameters and the equivalence of different governing equations is proved.

关键词: planar elasticity, locking-free, nonconforming finite element

Abstract: The angular distribution functions of HRR singularity fields are analyzed via conservation integrals. Two functional equations are proved for the angular distribution-functions andean be used for their solutions. The detailed forms of the functional equations and the final governing equations for solutions are given for the cases of plane strain and plane stress. Accurate numerical results are also given for some typical parameters and the equivalence of different governing equations is proved.

Key words: planar elasticity, locking-free, nonconforming finite element

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