On J-lntegrals in the Plane Fracture of Composite Materials

Yang Wei-yang; Zhang Shao-qin; Jia Yuan-duo

Volume 13 Issue 3

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Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(3): 263-269

Yang Wei-yang, Zhang Shao-qin, Jia Yuan-duo. On J-lntegrals in the Plane Fracture of Composite Materials[J]. Applied Mathematics and Mechanics, 1992, 13(3): 263-269.

Citation:

Yang Wei-yang, Zhang Shao-qin, Jia Yuan-duo. On J-lntegrals in the Plane Fracture of Composite Materials[J]. Applied Mathematics and Mechanics, 1992, 13(3): 263-269.

Citation:

Yang Wei-yang, Zhang Shao-qin, Jia Yuan-duo. On J-lntegrals in the Plane Fracture of Composite Materials[J]. Applied Mathematics and Mechanics, 1992, 13(3): 263-269.

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On J-lntegrals in the Plane Fracture of Composite Materials

Taiyuan Heavy Machinery Institute, Taiyuan

Received Date: 1991-02-11
Publish Date: 1992-03-15

Abstract

Abstract

By using a complex function method in this paper, the complex form of J-integral of mixed mode crack tip for unidirectional plate of linear-elastic orthotropic composites is obtained first by substituting crack tip stresses and displacements into general formula of J-integral. And then, the path-independence of this J-integral is proved. Finally, the computing formula of this J-integral is derived. As special examples, the complex forms, path-independence and computing formulae of J-integrals of mode Ⅰ and mode Ⅱ crack tips for unidirectional plate of linear-elastic orthotropic composites are given.
- J-integral,
- crack tip,
- composite material,
- complex function method

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References(8)

References

[1]	Sih, G.C., P.C. Paris, and G.R. Inwin, On cracks in rectilinearly anisotropic bodies, International Journal of Fracture Mechanics, 1(1965), 189-203.
[2]	Sih, G.C.,ed, Mechanics of Fracture, Vol. 6, Crack in Compositc Materials, Martinus Nijhoff Publishers, Hague, (1981).
[3]	Rice, J.R., A path-independent integral and the approximate analysis of strain concentrations by notches and cracks, Journal of Applied Mechanics, 35 (1986), 379-386.
[4]	杨维阳、张少琴,线弹性正交异性复合材料Ⅰ,Ⅱ型裂纹尖端的J积分,应用数学和力学, 11(7)(1990), 643-851.
[5]	杨维阳、张少琴、陈华才,关于平面断裂中的J积分,应用数学和力学.11(6)(1990), 555-564.
[6]	Jiang Bo-zeng, Yang Wei-yang and Zhang Shao-qin,A pplication of the J-integral to mined mode fracture analysis of orthotropic composites,Engineering Fracture Mechanics, 36(3) (1990), 507-514,
[7]	Sih, G.C., ed, Mechanics of Fracture, Vol. 1, Methods of Analysis and Solutions of Crack Problems, Noordhoff International Publishing, Leyden, 1973.
[8]	Liebowitz, H. ed, Fracture, Vol.2, Mathematical Fundamentals, Academic Press, New York,1968.

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