Browsing School of Mathematics, Statistics and Applied Mathematics by Subject "Plane waves"

Now showing items 1-5 of 5

    • Finite-amplitude inhomogeneous plane waves in a deformed Mooney-Rivlin material 

      Destrade, Michel (Oxford University Press, 2002)
      The propagation of finite-amplitude linearly-polarized inhomogeneous transverse plane waves is considered for a Mooney-Rivlin material maintained in a state of finite static homogeneous deformation. It is shown that such ...

    • Inhomogeneous "longitudinal" plane waves in a deformed elastic material 

      Destrade, Michel (Springer, 2005-01)
      By definition, a homogeneous isotropic compressible Hadamard material has the property that an infinitesimal longitudinal homogeneous plane wave may propagate in every direction when the material is maintained in a state ...

    • Initial stresses in elastic solids: Constitutive laws and acoustoelasticity 

      Destrade, Michel (2011)
      On the basis of the nonlinear theory of elasticity, the general constitutive equation for an isotropic hyperelastic solid in the presence of initial stress is derived. This derivation involves invariants that couple the ...

    • On stress-dependent elastic moduli and wave speeds 

      Destrade, Michel; Ogden, R.W. (Oxford University Press, 2013)
      On the basis of the general non-linear theory of a hyperelastic material with initial stress, initially without consideration of the origin of the initial stress, we determine explicit expressions for the stress-dependent ...

    • On stress-dependent elastic moduli and wave speeds 

      Destrade, Michel (Oxford Journals, 2012-03-30)
      On the basis of the general non-linear theory of a hyperelastic material with initial stress, initially without consideration of the origin of the initial stress, we determine explicit expressions for the stress-dependent ...