The Plane-Stress Problem for a Doubly Connected Region in Which the Medium Undergoes Elastic and Creep Deformation

[+] Author and Article Information
David L. Platus

ARA, Inc., West Covina, Calif.

J. Appl. Mech 31(1), 54-60 (Mar 01, 1964) (7 pages) doi:10.1115/1.3629570 History: Received March 18, 1963; Online September 15, 2011


A theoretical method of analysis is revealed for handling the plane-stress problem of a doubly connected region in which the medium undergoes elastic and creep deformation. The solution is developed in small increments of time as a sequence of solutions to elastostatic problems of two types. The first elastostatic problem involves surface forces only and is solved by the alternating method of Schwarz in conjunction with the method of Muskhelishvili. The second elastostatic problem is of the “initial-stress” type and is solved by the use of finite differences and double Fourier series. A numerical example, evaluated with the aid of an IBM 7090 electronic data-processing machine, is presented for the case of a uniformly stretched plate in the shape of a circular annulus.

Copyright © 1964 by ASME
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