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Proper formulation of viscous dissipation for nonlinear waves in solids
(Acoustical Society of America, 2013-03)
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 ...
On the third- and fourth-order constants of incompressible isotropic elasticity.
(Acoustical Society of America, 2010-04-25)
Consider the constitutive law for an isotropic elastic solid with the strain-energy function expanded up to the fourth order in the strain and the stress up to the third order in the strain. The stress-strain relation can ...
Third- and fourth-order constants of incompressible soft solids and the acousto-elastic effect.
(Acoustical Society of America, 2010-02)
Acousto-elasticity is concerned with the propagation of small-amplitude waves in deformed solids. Results previously established for the incremental elastodynamics of exact non-linear elasticity are useful for the determination ...
Third and fourth-order elasticity of biological soft tissues
(Acoustical Society of America, 2010-01-24)
In the theory of weakly nonlinear elasticity, Hamilton et al. [J. Acoust. Soc. Am. 116, 41-44 (2004)] identified W = -I2+(A/3)I3+DI22 as the fourth-order expansion of the strain-energy density for incompressible isotropic ...