On a Stress Function Method of Plane-Stress Thermoelastic Problem in a Multiply Connected Region of Variable Thickness

[+] Author and Article Information
Y. Sugano

Department of Mechanical Engineering, College of Engineering, University of Osaka Prefecture, Osaka, Japan 591

J. Appl. Mech 51(4), 727-732 (Dec 01, 1984) (6 pages) doi:10.1115/1.3167716 History: Received May 01, 1983; Revised January 01, 1984; Online July 21, 2009


A plane-stress thermoelastic problem in a multiply connected region of variable thickness is formulated in terms of a stress function by deriving new Michell integral conditions necessary for the assurance of single-valuedness of rotation and displacements. The system of fundamental equations is solved by means of a finite difference method and numerical calculations are carried out for the cases of a rectangular plate of variable thickness with a rectangular hole.

Copyright © 1984 by ASME
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