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[00744] On the Burgers-type equations used in soft solid acoustics

  • Session Time & Room : 3C (Aug.23, 13:20-15:00) @E804
  • Type : Contributed Talk
  • Abstract : A strain-rate model of soft viscoelastic solid is presented. The constitutive law accounts for finite strain, incompressibility, material frame-indifference, nonlinear elasticity, and viscous dissipation. Shear waves are governed by a nonlinear viscous wave equation, of which a one-way Burgers-type approximate equation is derived. Analysis of the travelling wave solutions shows that the two equations produce distinct solutions, unless amplitudes are infinitesimal. In the inviscid case, links with simple wave theory are established.
  • Classification : 74D10, 74J30, 74H10
  • Format : Talk at Waseda University
  • Author(s) :
    • Harold Berjamin (School of Mathematical and Statistical Sciences, University of Galway, University Road, Galway, Republic of Ireland)