Groove Bottom Contours of Minimum Stress Concentration for Antiplane Shear Deformation

[+] Author and Article Information
B. H. Eldiwany, L. T. Wheeler

Department of Mechanical Engineering, University of Houston, Houston, Texas 77004

J. Appl. Mech 52(2), 379-384 (Jun 01, 1985) (6 pages) doi:10.1115/1.3169057 History: Received February 01, 1984; Revised September 01, 1984; Online July 21, 2009


Results from free streamline hydrodynamics are exploited in order to solve optimization problems for antiplane shear deformation, in which the stress concentration is to be minimized. These problems pertain to the optimum shapes for grooves cut into a half-space. We obtain results, which from the standpoint of the hydrodynamics problem, complement those presently in the literature. The solution is given in an integral form which in general must be evaluated by numerical methods, but that reduces to elliptic integrals for the special case of a notch whose faces meet the half-space boundary at right angles.

Copyright © 1985 by ASME
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