An Integral Equation Approach to the Semi-Infinite Strip Problem

[+] Author and Article Information
G. D. Gupta

Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, Pa. Assoc.

J. Appl. Mech 40(4), 948-954 (Dec 01, 1973) (7 pages) doi:10.1115/1.3423192 History: Received July 01, 1972; Revised January 01, 1973; Online July 12, 2010


A semi-infinite strip held rigidly on its short end is considered. Loads in the strip at infinity (far away from the fixed end) are prescribed. Integral transform technique is used to provide an exact formulation of the problem in terms of a singular integral equation. Stress singularity at the strip corner is obtained from the singular integral equation which is then solved numerically. Stresses along the rigid end are determined and the effect of the material properties on the stress-intensity factor is presented. The method can also be applied to the problem of a laminate composite with a flat inclusion normal to the interfaces.

Copyright © 1973 by ASME
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