Abstract
All real materials have a finite thermal conductivity. This means that stress waves propagating through any physically real solid suffer energy losses due to heat conduction. The equations of motion and of temperature for an elastic solid with a finite thermal conductivity are derived with the aid of the irreversible form of the second law of thermodynamics. Their solution for frequencies of physical interest shows that the attenuation coefficient of a stress wave traveling in such a thermoelastic solid is proportional to the second power of the frequency.
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