Abstract
In the present paper a method was developed to study a certain important class of mixed boundary value problems concerning the interaction between a reinforced isotropic and linearly elastic thin plate by rectilinear and curvilinear thin strip inclusions (stringers), and superimposed elastic thin sheets (patches) perfectly bonded to the plate along their peripheries, and the internal cracks existing in the plate. The method is based on the complex stress function and the singular integral equations theories. An exact expression for the complex stress function was given for the most general case. The method was applied with success to an example of a superimposed circular patch on an internal crack existing in a thin plate. The variation of the stress intensity factors at the tips of the internal crack in terms of its relative position with respect to the patch-centre, as well as, of the relative elastic properties of the patch and the plate, was determined numerically.
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