The Elastic Plane With a Circular Insert, Loaded by a Radial Force

[+] Author and Article Information
J. Dundurs, M. Hetényi

The Technological Institute, Northwestern University, Evanston, Ill.

J. Appl. Mech 28(1), 103-111 (Mar 01, 1961) (9 pages) doi:10.1115/1.3640419 History: Received January 29, 1960; Online September 16, 2011


The problem treated is that of a plate of unlimited extent containing a circular insert and subjected to a concentrated radial force in the plane of the plate. The elastic properties of the insert are different from those of the plate, and a perfect bond is assumed between the two materials. The solution is exact within the classical theory of elasticity, and is in a closed form in terms of elementary functions. Explicit formulas are given for the components of stress in Cartesian co-ordinates, and also in polar co-ordinates at the circumference of the insert.

Copyright © 1961 by ASME
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