Research Papers

Transient Plane Wave Solutions to Homogeneous Equations of Orthotropic Thermoelasticity With Thermal Relaxation: Illustration

[+] Author and Article Information
L. M. Brock

Mechanical Engineering,  University of Kentucky, Lexington, KY, 40506-0503brock@engr.uky.edu

J. Appl. Mech 79(6), 061006 (Sep 17, 2012) (6 pages) doi:10.1115/1.4005559 History: Received January 21, 2011; Revised September 19, 2011; Posted January 30, 2012; Published September 17, 2012; Online September 17, 2012

Complementary (homogeneous) transient solutions for orthotropic thermoelasticity with thermal relaxation admit plane waves that propagate in a principal plane without spatial attenuation, but with exponential decay in their wake. Three speeds that vary with decay coefficient and propagation direction exist, and each speed is associated with three reflections from a plane surface aligned with another principal plane. As examples, values from both speed sets are presented, as well as angles of reflection and decay coefficients for given incident waves. For a half-space surface that is traction-free but exhibits convection, surface temperature change is derived, and values also presented.

Copyright © 2012 by American Society of Mechanical Engineers
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