Abstract
The harmonic condition and strategy for the inverse design problem in elasticity is examined. The analogy to membrane shapes and free-surface potential flow problems due to the irrotational character of the perturbations introduced by harmonic shapes is highlighted. Basic equations for the interior problem for holes and inclusions are derived using the complex variable formulation. They are than applied to determine the harmonic shape for a rigid inclusion in a biaxial field which is shown to be optimum giving the minimum possible stress concentration.
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