AXISYMMETRIC DEFORMATION OF AN ELASTIC MEDIUM WEAKENED BY AN ANNULAR CRACK

Abstract eng:
The present work deals with the study of an axisymmetric flat annular crack problem in a semiinfinite elastic medium. The external surface is supposed without mechanical loads while the crack surface is subjected to a uniform internal pressure. The mixed boundary value problem is solved by the Hankel integral transforms method using the Boussinnesq’s stress functions. Then the three-part mixed boundary value problem is converted to a system of coupled triple integral equations of Bessel functions. Furthermore, by applying some integral relations and involving the addition Gengenbauer formula, the system is reduced to a solution of an infinite algebraic system equations for determining the unknown coefficients development. The explicit formula for the stress intensity factors near the crack fronts are derived, by means of those coefficients.

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