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The Quarterly Journal of Mechanics and Applied Mathematics 1991 44(3):413-428; doi:10.1093/qjmam/44.3.413
© 1991 by Oxford University Press
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STRESSES IN A CIRCULAR DISC CONTAINING A RADIAL CRACK

HENRY VAUGHAN and QIONG WU

( Department of Mechanical Engineering, University of British Columbia Vancouver, Canada V6T 1W5 )

A general solution is presented for a circular disc containing a radial crack. The perimeter of the disc is loaded quite generally by a set of self-equilibrating surface tractions, subject to the requirement that they open the crack along its entire length. Three particular solutions are presented in detail: (i) the plate under uniform tension; (ii) the plate under diametrical concentrated forces; (iii) the plate with concentrated forces applied at the mouth of the crack. It is shown how cases (ii) and (iii) may be used in controlled tests for determining fracture-toughness.


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