Browsing Mathematics by Subject "Plane waves"
Now showing items 15 of 5

Finiteamplitude inhomogeneous plane waves in a deformed MooneyRivlin material
(Oxford University Press, 2002)The propagation of finiteamplitude linearlypolarized inhomogeneous transverse plane waves is considered for a MooneyRivlin material maintained in a state of finite static homogeneous deformation. It is shown that such ... 
Inhomogeneous "longitudinal" plane waves in a deformed elastic material
(Springer, 200501)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
(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 stressdependent elastic moduli and wave speeds
(Oxford University Press, 2013)On the basis of the general nonlinear theory of a hyperelastic material with initial stress, initially without consideration of the origin of the initial stress, we determine explicit expressions for the stressdependent ... 
On stressdependent elastic moduli and wave speeds
(Oxford Journals, 20120330)On the basis of the general nonlinear theory of a hyperelastic material with initial stress, initially without consideration of the origin of the initial stress, we determine explicit expressions for the stressdependent ...