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Abstract
Joints between dissimilar materials can cause stress singularities. Such joints are exemplified by the case of two bonded wedges. The stress singularity can be avoided by reshaping the wedges. An analytical theory for the critical wedge angles of the bonded wedges is developed. The shape is optimized by the geometric strain method, an optimality criterion method. Numerical examples are presented for different materials with/without special conditions on the wedge angles. Optimum wedge shapes are obtained and optimum corner angles are compared with analytical wedge-angle solutions from contact mechanics. Both analytical and numerical approaches are useful tools for reshaping the bonded wedges to avoid a stress singularity.
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