Browsing Mathematics (Scholarly Articles) by Subject "Acoustic wave propagation"
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On the third and fourthorder constants of incompressible isotropic elasticity.
(Acoustical Society of America, 20100425)Consider the constitutive law for an isotropic elastic solid with the strainenergy function expanded up to the fourth order in the strain and the stress up to the third order in the strain. The stressstrain relation can ... 
Proper formulation of viscous dissipation for nonlinear waves in solids
(Acoustical Society of America, 201303)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 ... 
Third and fourthorder elasticity of biological soft tissues
(Acoustical Society of America, 20100124)In the theory of weakly nonlinear elasticity, Hamilton et al. [J. Acoust. Soc. Am. 116, 4144 (2004)] identified W = I2+(A/3)I3+DI22 as the fourthorder expansion of the strainenergy density for incompressible isotropic ... 
Third and fourthorder constants of incompressible soft solids and the acoustoelastic effect.
(Acoustical Society of America, 201002)Acoustoelasticity is concerned with the propagation of smallamplitude waves in deformed solids. Results previously established for the incremental elastodynamics of exact nonlinear elasticity are useful for the determination ...