Challenges in Mechanics of Time-Dependent Materials, Volume 2 by unknow

Author:unknow
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

12.2 Attenuation and Dispersion for Viscoelastic Bar

12.2.1 Elementary Theory

In case of a thin and uniform viscoelastic bar, let be the Fourier transform of a strain-time relation .

When the material is linear viscoelastic, the following equation can be obtained [2]:

(12.1)

where , ω and are the coordinate along the rod axis, angular frequency and imaginary unit, respectively.

The attenuation coefficient α and wave number are the functions of ω, and are related to the complex compliance as

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