Proper formulation of viscous dissipation for nonlinear waves in solids
Destrade, Michel
Destrade, Michel
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http://hdl.handle.net/10379/3292
https://doi.org/10.13025/15288
https://doi.org/10.13025/15288
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Publication Date
2013-03
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Article
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Destrade, Michel; Saccomandi, Giuseppe; Vianello, Maurizio (2013) 'Proper formulation of viscous dissipation for nonlinear waves in solids'. Journal Of The Acoustical Society Of America, 133 (3):1255-1259.
Abstract
To model nonlinear viscous dissipative motions in solids, acoustical physicists usually add terms the material time derivative of the Lagrangian strain tensor E, to the elastic stress tensor; derived from the expansion to the third (sometimes fourth) order of the strain energy density . Here it is shown that this practice, which has been widely used in the past three decades or so, is physically wrong for at least two reasons and that it should be corrected.
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Acoustical Society of America
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Attribution-NonCommercial-NoDerivs 3.0 Ireland