Applied Mathematics and Mechanics

, Volume 8, Issue 9, pp 839–846 | Cite as

Conservation integrals and determination of HRR singularity fields

  • Wang Ke-ren
  • Wang Tzu-chiang


The angular distribution functions of HRR singularity fields are analyzed via conservation integrals. Two functional equations are proved for the angular distribution functions and can 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.


Mathematical Modeling Distribution Function Governing Equation Functional Equation Angular Distribution 
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Copyright information

© Shanghai University of Technology 1987

Authors and Affiliations

  • Wang Ke-ren
    • 1
  • Wang Tzu-chiang
    • 1
  1. 1.Institute of MechanicsAcademia SinicaBeijin

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