Thermomechanical Coupling Behavior of Viscoelastic Rods Subjected to Cyclic Loading

[+] Author and Article Information
N. C. Huang

Department of the Aerospace and Mechanical Engineering Sciences, University of California at San Diego, La Jolla, Calif.

E. H. Lee

Division of Engineering Mechanics, Stanford University, Stanford, Calif.

J. Appl. Mech 34(1), 127-132 (Mar 01, 1967) (6 pages) doi:10.1115/1.3607612 History: Received December 06, 1965; Revised July 29, 1966; Online September 14, 2011


The problem of longitudinal oscillation of a viscoelastic rod of finite length including the effect of thermomechanical coupling has been studied. The material is assumed to be thermorheologically simple. The almost steady oscillation superposed on a slowly varying temperature distribution permits representation as a boundary-value problem which is solved numerically by iterative procedures. Calculations are made for different stress levels and frequencies. It is found that the temperature increases considerably after a length of time of vibration although the stress level is low. A steady state of temperature can be reached if the temperature at one end of the rod is fixed and a radiation boundary condition is prescribed at the other end.

Copyright © 1967 by ASME
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