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Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (6): 603-610.

• 论文 • 上一篇    

ANALYSIS TO THE STRESS CONSTRUCTION AT THE VICINITY OF CRACK TIP FOR MODE I FRACTURE IN 3-D STATE USING FINITE ELEMENT METHOD

陈晓明1, 官忠信1, 庄嘉麟2   

  1. 1. Northwestern Polytechnical University, Xi'an;
    2. Hangzhou Steam Turbine Factory, Hangzhou
  • 收稿日期:1987-01-21 出版日期:1988-06-18 发布日期:1988-06-18
  • 基金资助:

    This Work is Supported by the National Science Found

ANALYSIS TO THE STRESS CONSTRUCTION AT THE VICINITY OF CRACK TIP FOR MODE I FRACTURE IN 3-D STATE USING FINITE ELEMENT METHOD

Chen Xiao-ming1, Guan Zhong-xin1, Zhuang Jia-lin2   

  1. 1. Northwestern Polytechnical University, Xi'an;
    2. Hangzhou Steam Turbine Factory, Hangzhou
  • Received:1987-01-21 Online:1988-06-18 Published:1988-06-18
  • Supported by:

    This Work is Supported by the National Science Found

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摘要： The stresses and strains are calculated for CT specimen of power hardening material in 3-D deformation state using ADINAfinite element program, and the stress distribution at the vicinity of crack tip for Mode I fracture is analysed according to the results of calculation. It is found that the expression of stress can be written as the form of separation of variables ofr and θ , then the function ofr can be expanded in Laurant series. It is still found that the three normal stresses have the same order of magnitude. The conclusions offer two suppositions to obtain the theoretical expression of stress at the vicinity of crack tip for Mode I fracture with good ground, and the procedure of solution will be greatly simplified.

关键词: creeping flow, heat transfer, Lie group

Abstract: The stresses and strains are calculated for CT specimen of power hardening material in 3-D deformation state using ADINAfinite element program, and the stress distribution at the vicinity of crack tip for Mode I fracture is analysed according to the results of calculation. It is found that the expression of stress can be written as the form of separation of variables ofr and θ , then the function ofr can be expanded in Laurant series. It is still found that the three normal stresses have the same order of magnitude. The conclusions offer two suppositions to obtain the theoretical expression of stress at the vicinity of crack tip for Mode I fracture with good ground, and the procedure of solution will be greatly simplified.

Key words: creeping flow, heat transfer, Lie group

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