Browsing Mathematics (Scholarly Articles) by Subject "Nonlinear acoustics"

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    • Proper formulation of viscous dissipation for nonlinear waves in solids 

      Destrade, Michel (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 ...

    • Third and fourth-order elasticity of biological soft tissues 

      Destrade, Michel; Gilchrist, Michael D. (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 ...