The Elastic Half Plane Subjected to Surface Tractions With Random Magnitude or Separation

[+] Author and Article Information
A. C. Eringen, J. W. Dunkin

Division of Engineering Sciences, Purdue University, Lafayette, Ind.

J. Appl. Mech 27(4), 701-709 (Dec 01, 1960) (9 pages) doi:10.1115/1.3644086 History: Received August 31, 1959; Online September 16, 2011


First and second-order moments of the stress tensor are obtained for the elastostatic problem concerning the half-plane subjected to random boundary tractions. The cases treated include the following types of applied surface tractions: (a) A purely random Gaussian load (white noise); (b) concentrated loads of random magnitudes separated by equal intervals; (c) a concentrated load acting at a random location; and (d) concentrated loads of equal magnitudes separated by random intervals.

Copyright © 1960 by ASME
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