Elastic wave velocities on a thin plate

E|Young modulus [N/(m^2)]|Young modulus|128E9
rho|Density [kg/(m^3)]|Density|8960
sigma|Poisson ratio [m/m]|Poisson ratio|0.36
mu|Shear modulus [N/(m^2)]|Shear modulus|45E9
lambda|lambda [m]|Wavelength|0.03
tn|tn [m]|Plate thickness (in z, tn<<lambda)|5E-9

vLx|vLx [m/s]|Speed of longitudinal wave (displacement parallel to x, wave travelling along x)|sqrt(E/(rho*(1-sigma^2)))
vTy|vTy [m/s]|Speed of transverse wave (displacement parallel to y, wave travelling along x)|sqrt(mu/rho)
k|k [rad/m]|Wavenumber|2*Pi/lambda
vTz|vTz [m/s]|Speed of transverse wave (displacement parallel to z, wave travelling along x)|k*sqrt((E*tn^2)/(12*rho*(1-sigma^2)))

Based on 9780521575072 (p. 82), 2020-10-16