The Rayleigh Velocity for a Slightly Anisotropic, Orthotropic Solid.
Abstract
A technique is described for calculating the changes in the propagation velocity of Rayleigh waves for slightly anisotropic media. The Rayleigh Equation is first derived for the isotropic case. Perturbation theory is used to approximate the solutions to the Rayleigh Equation for a slightly anisotropic solid with orthotropic symmetry. Velocity changes appear as additional correction terms to the unperturbed Rayleigh Equations. These terms are classified into two distinct types; one is derived from variations of the independent variables in the Rayleigh Equation, and the second type is derived from changes in the functional form of the isotropic Rayleigh Equation. The correction factors are functions of the third-order non-linear elastic constants. The independent third-order constants are determined by applying external stresses along tow mutually perpendicular directions and measuring the changes in Rayleigh wave velocity. Appendix A1 contains the calculation for the case of aluminum.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1974
- Accession Number
- ADA006148
Entities
People
- Grant R. Gerhart
Organizations
- Tank-automotive and Armaments Command