Technical Briefs

Harmonic Vibrations in Thermoelasticity of Microstretch Materials

[+] Author and Article Information
Marin Marin1

Department of Mathematics, Transilvania University, Iuliu Maniu Street, No. 50, 500188 Brasov, Romaniam.marin@unitbv.ro


Corresponding author.

J. Vib. Acoust 132(4), 044501 (May 25, 2010) (6 pages) doi:10.1115/1.4000971 History: Received May 30, 2009; Revised December 16, 2009; Published May 25, 2010; Online May 25, 2010

Consider a cylinder made of a microstretch thermoelastic material for which one plane end is subjected to plane boundary data varying harmonically in time. On the lateral surface and other base, we have zero body force and heat supply. By using a Toupin type measure associated with the corresponding steady-state vibration, and by assuming that the angular frequency of oscillations is lower than a certain critical frequency, we show that the amplitude of the vibrations decays exponentially with the distance to the base. This decay estimate is similar to that of the Saint-Venant type.

Copyright © 2010 by American Society of Mechanical Engineers
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