Optimization of Reinforcement for a Class of Openings in Plate Structures

[+] Author and Article Information
S. K. Dhir

David W. Taylor Naval Ship R&D Center, Bethesda, Maryland 20084

J. Appl. Mech 49(4), 916-920 (Dec 01, 1982) (5 pages) doi:10.1115/1.3162637 History: Received November 01, 1981; Revised February 01, 1982; Online July 21, 2009


A numerical/analytical procedure has been developed which yields the optimum amount of reinforcement for a given hole shape in a large elastic plate under prescribed boundary stresses. This procedure is based on determining the usual two complex potentials which describe the entire stress field, constructing the strain energy density function in terms of the unknown amount of reinforcement, integrating this function around the opening boundary, and finally minimizing this integral with respect to the reinforcement. The method is first developed for a general hole shape and then demonstrated in some detail for a circular and a square-like opening.

Copyright © 1982 by ASME
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