I noticed there are 3 types of elastic modulus and 3 types of waves in solids.We have Young modulus that describes tensile stiffness,shear modulus about shearing stiffness and bulk modulus that is about compression stiffness.
We have three types of sound wave in solids,longitudinal,shear and flextural.Are the velocities of 3 types of waves dependent on the value of 3 types of modulus?
For example,longitudinal wave,is compression wave,so its velocity in solid depends on bulk modulus and not other types of modulus becose bulk is the specific type of modulus that describes compression stiffness of solid. Likewise,flextural wave depends on Young modulus of solid becose Young is the one who describes solids stiffness to flexing.
Longitudinal wave = bulk modulus ... Shear wave = shear modulus ... Flextural wave = Young modulus ...
Is what I have written correct? Another example,sound velocity depends on density and modulus,so if solid have 1 gram cm3 density,100 GPa Young modulus,10 GPa shear modulus and 1000 GPa bulk modulus,then its sound velocity for three types of waves will be like this :
Flextural - 10000 m/s ... Shear - 3162 m/s ... Longitudinal - 31622 m/s ...
Are my calculations correct? Is my understanding right?