THE METHOD OF ANALYSIS OF CRACK PROBLEM IN THREE- DIMENSIONAL NO N-LOCAL EL ASTICITY

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (5): 469-475.

THE METHOD OF ANALYSIS OF CRACK PROBLEM IN THREE- DIMENSIONAL NO N-LOCAL EL ASTICITY

赵明皞, 程昌钧, 刘元杰, 刘国宁, 张石山

1. Zhengzhou Research Institute of Mechanical Engineering, Zhengzhou 450052, P.R.China;
2. Shanghai Institute of Applied Mathematics and Mechanics; Department of Mechanics, Shanghai University, Shanghai 200072, P.R.China

收稿日期:1998-01-28 修回日期:1999-01-23 出版日期:1999-05-18 发布日期:1999-05-18
基金资助:
Project supported by the National Natural Sicence Foundation of China (59375192)

THE METHOD OF ANALYSIS OF CRACK PROBLEM IN THREE- DIMENSIONAL NO N-LOCAL EL ASTICITY

Zhao Minghao, Cheng Changjun, Liu Yuanjie, Liu Guoning, Zhang Shishan

1. Zhengzhou Research Institute of Mechanical Engineering, Zhengzhou 450052, P.R.China;
2. Shanghai Institute of Applied Mathematics and Mechanics; Department of Mechanics, Shanghai University, Shanghai 200072, P.R.China

Received:1998-01-28 Revised:1999-01-23 Online:1999-05-18 Published:1999-05-18
Supported by:
Project supported by the National Natural Sicence Foundation of China (59375192)

摘要/Abstract

摘要： In this paper, the displacement discontinu ity fundamental solution (DDFS) corresponding to the unit concentrated displacement discontinuity for three dimensional (3D) non-local elasticity under symmetrical condition is obtained. Based on the displacement discontinuity boundary inte gralequation (DDBIE) and boundary-element method (DDBEM) of local (classical) elasticity, a method of analysis of crack in 3D non-local elasticity with wide application is proposed with the DDFS. Through the method, several important problems of fracture mechanics are analysed.

Abstract: In this paper, the displacement discontinu ity fundamental solution (DDFS) corresponding to the unit concentrated displacement discontinuity for three dimensional (3D) non-local elasticity under symmetrical condition is obtained. Based on the displacement discontinuity boundary inte gralequation (DDBIE) and boundary-element method (DDBEM) of local (classical) elasticity, a method of analysis of crack in 3D non-local elasticity with wide application is proposed with the DDFS. Through the method, several important problems of fracture mechanics are analysed.

赵明皞;程昌钧;刘元杰;刘国宁;张石山. THE METHOD OF ANALYSIS OF CRACK PROBLEM IN THREE- DIMENSIONAL NO N-LOCAL EL ASTICITY[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(5): 469-475.

Zhao Minghao;Cheng Changjun;Liu Yuanjie;Liu Guoning;Zhang Shishan. THE METHOD OF ANALYSIS OF CRACK PROBLEM IN THREE- DIMENSIONAL NO N-LOCAL EL ASTICITY[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(5): 469-475.

参考文献

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THE METHOD OF ANALYSIS OF CRACK PROBLEM IN THREE- DIMENSIONAL NO N-LOCAL EL ASTICITY

THE METHOD OF ANALYSIS OF CRACK PROBLEM IN THREE- DIMENSIONAL NO N-LOCAL EL ASTICITY

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