Publication

The explicit secular equation for surface acoustic waves in monoclinic elastic crystals

Destrade, Michel
Citation
Destrade, M. (2001). The explicit secular equation for surface acoustic waves in monoclinic elastic crystals. The Journal of the Acoustical Society of America, 109(4), 1398-1402.
Abstract
The secular equation for surface acoustic waves propagating on a monoclinic elastic half-space is derived in a direct manner, using the method of first integrals. Although the motion is at first assumed to correspond to generalized plane strain, the analysis shows that only two components of the mechanical displacement and of the tractions on planes parallel to the free surface are nonzero. Using the Stroh formalism, a system of two second order differential equations is found for the remaining tractions. The secular equation is then obtained as a quartic for the squared wave speed. This explicit equation is consistent with that found in the orthorhombic case. The speed of subsonic surface waves is then computed for 12 specific monoclinic crystals.
Funder
Publisher
Acoustical Society of America
Publisher DOI
10.1121/1.1356703
Rights
Attribution-NonCommercial-NoDerivs 3.0 Ireland