On Rayleigh waves in incompressible orthotropic elastic solids.
In this paper the secular equation for the Rayleigh wave speed in an incompressible orthotropic elastic solid is obtained in a form that does not admit spurious solutions. It is then shown that inequalities on the material constants that ensure positive definiteness of the strain-energy function guarantee existence and uniqueness of the Rayleigh wave speed. Finally, an explicit formula for the Rayleigh wave speed is obtained.
Ogden
Ray W
RW
Department of Mathematics, University of Glasgow, Glasgow G12 8QW, United Kingdom. rwo@maths.gla.ac.uk
Vinh
Pham Chi
PC