Abstract

The plane problem of a composite body consisting of many dissimilar isotropic, homogeneous and elastic wedges, perfectly bonded along their common interfaces, so that the plate forms a composite full plane with a number of corners, where a number of interfaces coalesce, is considered. The loading of the plate is due to prescribed surface tractions at the outside boundary of the plate. The particular behavior of the stress and displacement fields at the close vicinity of each interface corner is studied and the dependence of the order of singularity there was established in relation with the mechanical properties of the wedges coalescing at the particular corner considered. Applications of this general theory to simple cases of a single wedge and a bimaterial wedge gave results coinciding with already existing simple relations.

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