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.
Department of Mathematics, University of Glasgow, Glasgow G12 8QW, United Kingdom. rwo@maths.gla.ac.uk
Ray W
RW
Ogden
Pham Chi
PC
Vinh