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Analysis to the stress construction at the vicinity of crack tip for mode I fracture in 3-D state using finite element method

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Abstract

The stresses and strains are calculated for CT specimen of power hardening material in 3-D deformation state using ADINA finite 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 of r and θ, then the function of r 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 vinicity of crack tip for Mode I fracture with good ground, and the procedure of solution will be greatly simplified.

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Authors and Affiliations

  1. Northwestern Polytechnical University, Xi'an

    Chen Xiao-ming & Guan Zhong-xin

  2. Hangzhou Steam Turbine Factory, Hangzhou

    Zhuang Jia-lin

Authors
  1. Chen Xiao-ming
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  2. Guan Zhong-xin
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  3. Zhuang Jia-lin
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Additional information

Communicated by Chien Wei-zang

This Work is Supported by the National Science Found.

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Xiao-ming, C., Zhong-xin, G. & Jia-lin, Z. Analysis to the stress construction at the vicinity of crack tip for mode I fracture in 3-D state using finite element method. Appl Math Mech 9, 603–610 (1988). https://doi.org/10.1007/BF02465416

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  • DOI: https://doi.org/10.1007/BF02465416

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