On the Stress Field Due to Initial Strains in a Cuboid Surrounded by an Infinite Elastic Space

[+] Author and Article Information
Y. P. Chiu

SKF Industries, Inc., King of Prussia, Pa.

J. Appl. Mech 44(4), 587-590 (Dec 01, 1977) (4 pages) doi:10.1115/1.3424140 History: Received November 01, 1976; Revised March 01, 1977; Online July 12, 2010


This paper solves the problem of a stress field in an infinitely large matrix having a cuboidal element (of the same material) within which the initial (transformation) strains are uniform. Using a method which employs the Galerkin vector, expressions for stresses are obtained in terms of triple Fourier integrals. The resulting multiple integrals are integrated in closed form. Numerical stress evaluation has been performed for cuboids of three different shapes.

Copyright © 1977 by ASME
Topics: Shapes , Stress
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