Stress Waves Generated by Heat Addition in an Elastic Solid

[+] Author and Article Information
T. A. Zaker

Geophysics Division, IIT Research Institute, Chicago, Ill.

J. Appl. Mech 32(1), 143-150 (Mar 01, 1965) (8 pages) doi:10.1115/1.3625710 History: Received January 06, 1964; Online September 15, 2011


The problem of stress-wave generation in a linear thermoelastic solid by internal heat addition is investigated on the basis of a one-dimensional model of material response. A method of integration of the governing equations is given for the case of power deposition with arbitrary time and space variation. Closed-form results are presented for the half-space and the finite slab for power deposition which is a step function in time and exponential with distance from one surface, assuming negligible heat conduction. The influence of thermal diffusion on the stress field is estimated in terms of a dimensionless parameter representing the ratio of characteristic times of stress-wave propagation and thermal diffusion.

Copyright © 1965 by ASME
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