Strain-Gradient Effects Around Cylindrical Inclusions and Cavities in a Field of Cylindrically Symmetric Tension

[+] Author and Article Information
Y. Weitsman

The Pennsylvania State University, University Park, Pa.

J. Appl. Mech 33(1), 57-67 (Mar 01, 1966) (11 pages) doi:10.1115/1.3625026 History: Received October 30, 1964; Revised May 17, 1965; Online September 15, 2011


In this work, it is assumed that the potential energy of an elastic body depends on its strains and strain gradients. Such a potential energy will give rise to both classical and higher-order stress terms. The constitutive law of the body will therefore incorporate additional elastic constants whose dimensions differ from those of the classical moduli by the square of length. A solution to the problem of a cylindrical inclusion and cavity in a field of cylindrically symmetric tension is presented to illustrate some of the new effects contained in the strain-gradient theory.

Copyright © 1966 by ASME
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