Variations of elastic constants and density with strain and the introduction of stresses can significantly affect the propagation velocity of surface acoustic waves. Digital computation using iterative methods is employed to obtain the variations of propagation velocity with strain. It is found that while the individual contributions of the initial stresses, changes in elastic constants, and changes in density with strain can be considerable, their combined effect in some materials may be reduced by mutual cancellation. Computed results for YX quartz YZ LiNbO3 are compared with experimentally measured values.Variations of elastic constants and density with strain and the introduction of stresses can significantly affect the propagation velocity of surface acoustic waves. Digital computation using iterative methods is employed to obtain the variations of propagation velocity with strain. It is found that while the individual contributions of the initial stresses, changes in elastic constants, and changes in density with strain can be considerable, their combined effect in some materials may be reduced by mutual cancellation. Computed results for YX quartz YZ LiNbO3 are compared with experimentally measured values.
[1]
E. H. Bogardus.
Third‐Order Elastic Constants of Ge, MgO, and Fused SiO2
,
1965
.
[2]
J.J. Campbell,et al.
A method for estimating optimal crystal cuts and propagation directions for excitation of piezoelectric surface waves
,
1968,
IEEE Transactions on Sonics and Ultrasonics.
[3]
K. Yamanouchi,et al.
Third‐order elastic constants of lithium niobate
,
1973
.
[4]
R. N. Thurston.
Effective Elastic Coefficients for Wave Propagation in Crystals under Stress
,
1965
.
[5]
R. A. Graham,et al.
Strain Dependence of Longitudinal Piezoelectric, Elastic, and Dielectric Constants of X -Cut Quartz
,
1972
.
[6]
V. V. Bolotin,et al.
Nonconservative problems of the theory of elastic stability
,
1963
.
[7]
R. N. Thurston,et al.
Third-Order Elastic Coefficients of Quartz
,
1966
.