Research Article
Dec 1980
Harmonic Shape and Optimum Design
Publication: Journal of the Engineering Mechanics Division
Volume 106, Issue 6
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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Published In
Journal of the Engineering Mechanics Division
Volume 106 • Issue 6 • December 1980
Pages: 1125 - 1134
Copyright
© 1980 American Society of Civil Engineers.
History
Published in print: Dec 1980
Published online: Feb 3, 2021
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Authors
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Rowland Richards Jr., M.ASCE
Prof., Dept. of Civ. Engrg., State Univ. of New York, Buffalo, N.Y.
Gordon S. Bjorkman Jr., AM.ASCE
Struct. Engr., Struct. Analysis Group, United Engr. and Constructors, Inc., Philadelphia, Pa.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.