Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (8): 893-900.

• 论文 • 上一篇    下一篇

INFLUENCE OF COUPLE-STRESSES ON STRESS CONCENTRATIONS AROUND THE CAVITY

赵俭斌, 李子国   

  1. 1. Department of Civil Engineering, Shenyang Architectural and Civil Engineering Institute, Shenyang 110015, P.R.China;
    2. Department of Civil Engineering, Harbin Engineering University, Harbin 150001, P.R.China
  • 收稿日期:1999-04-02 修回日期:2000-05-07 出版日期:2000-08-18 发布日期:2000-08-18
  • 通讯作者: DAI Tian-min
  • 基金资助:
    the National Natural Science Foundation of China (19672023)

INFLUENCE OF COUPLE-STRESSES ON STRESS CONCENTRATIONS AROUND THE CAVITY

ZHAO Jian-bin, LI Zi-guo   

  1. 1. Department of Civil Engineering, Shenyang Architectural and Civil Engineering Institute, Shenyang 110015, P.R.China;
    2. Department of Civil Engineering, Harbin Engineering University, Harbin 150001, P.R.China
  • Received:1999-04-02 Revised:2000-05-07 Online:2000-08-18 Published:2000-08-18
  • Supported by:
    the National Natural Science Foundation of China (19672023)

摘要: The complex function method was used in the solution of micropolar elasticity theory around cavity in an infinite elasticity plane. In complex plane, the general solution of two dimension micropolar elasticity theory is given. The solution comes from analytic function and "Zonal Function". The boundary conditions of non-circular cavity are satisfied by using the conformal mapping method. Based on the method, a general approach solving the stress concentration in micropolar elasticity theory is established. Finally, the numerical calculation is carried out to the stress concentration coefficient of circular cavity.

Abstract: The complex function method was used in the solution of micropolar elasticity theory around cavity in an infinite elasticity plane. In complex plane, the general solution of two dimension micropolar elasticity theory is given. The solution comes from analytic function and "Zonal Function". The boundary conditions of non-circular cavity are satisfied by using the conformal mapping method. Based on the method, a general approach solving the stress concentration in micropolar elasticity theory is established. Finally, the numerical calculation is carried out to the stress concentration coefficient of circular cavity.

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