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The Quarterly Journal of Mechanics and Applied Mathematics 1970 23(1):35-48; doi:10.1093/qjmam/23.1.35
© 1970 by Oxford University Press
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A PRESSURIZED CRACK IN THE FORM OF A CROSS

M. P. STALLYBRASS

( Departments of Aerospace Engineering and Mathematics, Georgia Institute of Technology Atlanta )

An exact solution is obtained for the problem of a line crack in the form of a cross located in a thin elastic plate, when the faces of the crack are subjected to a constant normal pressure. The solution is obtained by applying the Wiener-Hopf technique to an integral equation previously derived by Sneddon. The stress intensity factor and the strain energy of the system are obtained simultaneously from the evaluation of a single integral. An expression is also given relating this stress factor, but now for an arbitrary distribution of pressure applied to the crack surfaces, to the solution of the governing integral equation at a single point within its range.


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