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On J-integrals in the plane fracture (1990)

Wei-yang, Yang ; Shao-qin, Zhang ; Hua-cai, Chen

Springer

Applied mathematics and mechanics 11 (1990), S. 595-604

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ISSN: 1573-2754

Source: Springer Online Journal Archives 1860-2000

Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics

Notes: 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: $$J = \int\limits_r {p(x,y)dx + Q(x,y)dy} $$ (2) Independence of path of the various J-integrals is proved. (3) Computing formulae of J-integrals are derived.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02016345

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