An infinite plate weakened by doubly distributing cracks is studied in this paper. Two loading cases, the remote tension and the remote shear stresses, are assumed. Analysis is performed for a cracked cell cut from the infinite plate. It is found that the eigenfunction expansion variational method is efficient to solve the problem. The stress intensity factor, the T-stress, and the elastic response are evaluated. The cracked plate can be equivalent to an orthotropic medium without cracks. The equivalent elastic constants are presented.
An Infinite Plate Weakened by Periodic Cracks
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, Feb. 12, 2001; final revision, Nov. 22, 2001. Associate Editor: J. R. Barber.
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Chen , Y. Z., and Lee , K. Y. (June 20, 2002). "An Infinite Plate Weakened by Periodic Cracks ." ASME. J. Appl. Mech. July 2002; 69(4): 552–555. https://doi.org/10.1115/1.1458558
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