On the Effects of Elastic Nonlinearity in Metals

[+] Author and Article Information
T. E. Wong, G. C. Johnson

Department of Mechanical Engineering, University of California, Berkeley, CA 94720

J. Eng. Mater. Technol 110(4), 332-337 (Oct 01, 1988) (6 pages) doi:10.1115/1.3226058 History: Received August 10, 1987; Online October 22, 2009


The variation in Young’s modulus and Poisson’s ratio of metals during uniaxial deformation is examined. Predictions are made on the basis of a nonlinear description of the constitutive relation between stress and strain involving both second- and third-order elastic constants. A comparison of measured and predicted variations shows good agreement, with the relative change in Young’s modulus being on the order of 10 times the elastic strain for most metals. The material nonlinearity is then examined as a possible cause for changes in the natural frequency of a beam subject to an axial residual stress. An upper bound for the frequency change involving the maximum stress, initial Young’s modulus and a nonlinearity parameter is derived.

Copyright © 1988 by ASME
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