Some properties of the J-integral in plane elasticity are analyzed. An infinite plate with any number of inclusions, cracks, and any loading conditions is considered. In addition to the physical field, a derivative field is defined and introduced. Using the Betti’s reciprocal theorem for the physical and derivative fields, two new path-independent and are obtained. It is found that the values of on a large circle are equal to the values of on the same circle. Using this property and the complex variable function method, the values of on a large circle is obtained. It is proved that the vector is a gradient of a scalar function
Some Properties of J-Integral in Plane Elasticity
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, Apr. 24, 2001; final revision, Sep. 6, 2001. Associate Editor: J. R. Barber.
Chen, Y. Z., and Lee, K. Y. (September 6, 2001). "Some Properties of J-Integral in Plane Elasticity." ASME. J. Appl. Mech. March 2002; 69(2): 195–198. https://doi.org/10.1115/1.1432663
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