I try to derive shear stress from time-of-flight measurements of surface waves travelling across my stressed workpiece. As long as any other parameters are kept constant this should be straight forward.
Being a newcomer to the field I am confused as to how the elastic modulus of my material and the temperature affect the time-of-flight. Are stress, elastic modulus, and temperature 3 independent variables entering the equation for the velocity or are they related to each other (I know that the elastic modulus is temperature dependent, is this the only connection between velocity and temperature?) Is their an analytical expression which relates these 3 quantities to the velocity.
A second question concerns the direction of travel, does it matter whether the wave travels in direction of the shear force or opposite to it.
I would be very grateful if the experts could give me some help with probably rather basic questions. Thanks Matthias