On J Integrals in the Plane Fracture

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Yang Wei-yang, Zhang Shao-qin, Chen Hua-cai. On J Integrals in the Plane Fracture[J]. Applied Mathematics and Mechanics, 1990, 11(6): 555-564.

Citation:

Yang Wei-yang, Zhang Shao-qin, Chen Hua-cai. On J Integrals in the Plane Fracture[J]. Applied Mathematics and Mechanics, 1990, 11(6): 555-564.

Citation:

Yang Wei-yang, Zhang Shao-qin, Chen Hua-cai. On J Integrals in the Plane Fracture[J]. Applied Mathematics and Mechanics, 1990, 11(6): 555-564.

Abstract

In this paper, we discuss J-integrals near models Ⅰ and Ⅱ crack tips for the plates of linear-elastic isotropic homogeneous material and orthotropic composite material, using the theories of complex function and calculus, and obtain the result as follows:(1) The various J-integrals are transformed into standard form of line integrals with respect to coordinates: J=∫_rp(x,y)dx+Q(x,y)dy (2) Independence of path of the various J-integrals is proved.(3) Computing formulae of J-integrals are derived.

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