Abstract

The stress distribution in isotropic half-spaces which are bonded together at their plane interface except over a region of finite length and submitted to uniform normal and shear loading along this finite crack was determined. The problem was formulated by setting the admissible equations for stresses and displacements in both phases. It was shown that the corresponding boundary-value problem may be reduced to a Hilbert problem and its solution may be readily determined. The expressions for the complex functions of the Muskhelishvili formulations were used to study the type and order of singularities at the crack tips by using the method of caustics [1].

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