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Technical Briefs

Effect of Poisson’s Ratio on Three-Dimensional Stress Distribution

[+] Author and Article Information
Z. Abdulaliyev

Metallurgical and Materials Engineering Department, Faculty of Chemical and Metallurgical Engineering, Istanbul Technical University, Maslak 34469 Istanbul, Turkeyabdulaliyev@itu.edu.tr

S. Ataoglu

Division of Mechanics, Civil Engineering Department, Faculty of Civil Engineering, Istanbul Technical University, Maslak 34469 Istanbul, Turkeyataoglu@itu.edu.tr

J. Appl. Mech 76(1), 014506 (Nov 06, 2008) (3 pages) doi:10.1115/1.2966218 History: Received January 20, 2008; Revised July 01, 2008; Published November 06, 2008

An examination of the effect of Poisson’s ratio on stress distribution is important to interpret the results of a stress-strain analysis by using experimental methods because the material of the model frequently has a different Poisson’s ratio from that of the prototype. In linear elasticity, the effect of Poisson’s ratio on three-dimensional stress distribution is theoretically explained for simply connected bodies by using static methods in this study. It is proven that the stress components are independent from Poisson’s ratio in sections of the body where the stress components arising are in equilibrium only with surface tractions. This result is useful in interpreting three-dimensional photoelasticity and other experiments and even in guiding the design.

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Copyright © 2009 by American Society of Mechanical Engineers
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