INVESTIGATION OF A GRIFFITH CRACK SUBJECT TO UNIFORM TENSION USING THE NON-LOCAL THEORY BY A NEW METHOD

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (10): 1099-1107.

INVESTIGATION OF A GRIFFITH CRACK SUBJECT TO UNIFORM TENSION USING THE NON-LOCAL THEORY BY A NEW METHOD

周振功, 王彪

P. O. Box 2147, Center for Composite Materials, Harbin Institute of Technology, Harbin 150001, P.R.China

收稿日期:1998-07-02 出版日期:1999-10-18 发布日期:1999-10-18
基金资助:
the National Foundation for Exellent Young Investigators ( 19725209)

INVESTIGATION OF A GRIFFITH CRACK SUBJECT TO UNIFORM TENSION USING THE NON-LOCAL THEORY BY A NEW METHOD

Zhou Zhengong, Wang Biao

P. O. Box 2147, Center for Composite Materials, Harbin Institute of Technology, Harbin 150001, P.R.China

Received:1998-07-02 Online:1999-10-18 Published:1999-10-18
Supported by:
the National Foundation for Exellent Young Investigators ( 19725209)

摘要/Abstract

摘要： Field equations of the non-local elasticity are solved to determine the state of stress in a plate with a Griffith crack subject to uniform tension. Then a set of dual-integral equations is solved using a new method, namely Schmidt’s method. This method is more exact and more reasonable than Eringen’s one for solving this kind of problem. Contrary to the solution of classical elasticity, it is found that no stress singularity is present at the crack tip. The significance of this result is that the fracture criteria are unified at both the macroscopic and the microscopic scales. The finite hoop stress at the crack tip depends on the crack length.

Abstract: Field equations of the non-local elasticity are solved to determine the state of stress in a plate with a Griffith crack subject to uniform tension. Then a set of dual-integral equations is solved using a new method, namely Schmidt’s method. This method is more exact and more reasonable than Eringen’s one for solving this kind of problem. Contrary to the solution of classical elasticity, it is found that no stress singularity is present at the crack tip. The significance of this result is that the fracture criteria are unified at both the macroscopic and the microscopic scales. The finite hoop stress at the crack tip depends on the crack length.

中图分类号:

O345.19

周振功;王彪. INVESTIGATION OF A GRIFFITH CRACK SUBJECT TO UNIFORM TENSION USING THE NON-LOCAL THEORY BY A NEW METHOD[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(10): 1099-1107.

Zhou Zhengong;Wang Biao. INVESTIGATION OF A GRIFFITH CRACK SUBJECT TO UNIFORM TENSION USING THE NON-LOCAL THEORY BY A NEW METHOD[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(10): 1099-1107.

参考文献

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INVESTIGATION OF A GRIFFITH CRACK SUBJECT TO UNIFORM TENSION USING THE NON-LOCAL THEORY BY A NEW METHOD

INVESTIGATION OF A GRIFFITH CRACK SUBJECT TO UNIFORM TENSION USING THE NON-LOCAL THEORY BY A NEW METHOD

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