Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (12): 1089-1095.

• 论文 • 上一篇    下一篇

FINITE-PART INTEGRAL AND BOUNDARY ELEMENT METHOD TO SOLVE FLAT CRACK PROBLEMS

秦太验, 汤任基   

  1. Shanghai Jiaotong University, Shanghai
  • 收稿日期:1991-11-06 出版日期:1992-12-18 发布日期:1992-12-18
  • 基金资助:
    The project supported by the Foundation of the Science Research of the State Education Commission of the People’s Republic of China

FINITE-PART INTEGRAL AND BOUNDARY ELEMENT METHOD TO SOLVE FLAT CRACK PROBLEMS

Qin Tai-yan, Tang Ren-ji   

  1. Shanghai Jiaotong University, Shanghai
  • Received:1991-11-06 Online:1992-12-18 Published:1992-12-18
  • Supported by:
    The project supported by the Foundation of the Science Research of the State Education Commission of the People’s Republic of China

摘要: Using the Somigliana formula and the concepts of finite-part integral, a set of hypersingular integral equations to solve the arbitrary flat crack in three-dimensional elasticity is derived and its numerical method is then proposed by combining the finite-part integral method with boundary element method. In order to verify the method, several numerical examples are carried out. The results of the displacement discontinuities of the crack surface and the stress intensity factors at the crack front are in good agrement with the theoretical solutions.

关键词: hypersingular integral equations, three-dimensional fracture mechanics, finite-part integrals

Abstract: Using the Somigliana formula and the concepts of finite-part integral, a set of hypersingular integral equations to solve the arbitrary flat crack in three-dimensional elasticity is derived and its numerical method is then proposed by combining the finite-part integral method with boundary element method. In order to verify the method, several numerical examples are carried out. The results of the displacement discontinuities of the crack surface and the stress intensity factors at the crack front are in good agrement with the theoretical solutions.

Key words: hypersingular integral equations, three-dimensional fracture mechanics, finite-part integrals

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