Saint-Venant End Effects for Materials With Negative Poisson’s Ratios

[+] Author and Article Information
R. S. Lakes

Department of Engineering Mechanics, University of Wisconsin, Madison, WI 53706

J. Appl. Mech 59(4), 744-746 (Dec 01, 1992) (3 pages) doi:10.1115/1.2894037 History: Received January 16, 1991; Revised June 03, 1991; Online March 31, 2008


In this paper we analyze Saint-Venant end effects for materials with negative Poisson ’s ratios. We present an example of slow decay of stress arising from selfequilibrated stress at the end of a circular cylinder of elastic material with a negative Poisson’s ratio. By contrast, a sandwich panel containing rigid face sheets and a compliant core exhibits no anomalous effects for negative Poisson’s ratio, but exhibits slow stress decay for core Poisson’s ratio approaching 0.5. In sandwich panels with stiff but not perfectly rigid face sheets, slow decay of stress is known to occur; a negative Poisson’s ratio results in end stress decay, which is faster than it would be otherwise.

Copyright © 1992 by The American Society of Mechanical Engineers
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