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Waves and vibrations in a solid of second grade

Destrade, Michel
; 
Saccomandi, Giuseppe
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Identifiers
http://hdl.handle.net/10379/5732
 https://doi.org/10.13025/15129
Publication Date
2006
Keywords
Mathematics, Waves, Vibrations
Type
Conference Paper
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Citation
Destrade, M., & Saccomandi, G. (2006). Waves and vibrations in a solid of second grade. Paper presented at the Proceedings of the 13th Conference on Waves and Stability of Continuous Media (WASCOM 2005), Catania, Italy.
Abstract
We study the viscoelastic second grade solid, for which the constitutive equation consists in the sum of a purely elastic part and a viscoelastic part; this latter part is specified by two microstructural coefficients α1 and α2, in addition to the usual Newtonian viscosity ν. We show via some exact solutions that such solids may describe some interesting dispersive effects. The solutions under investigation belong to special classes of standing waves and of circularly-polarized finite-amplitude waves.
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|~|
Publisher
World Scientific
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Mathematics (Conference Papers)