How Does Thermal Effect Influence Wave Velocity in Piezoelectric Materials?

[Turtle Yuan]

Hello group,

Now I am solving a problem of waves in a piezoelectric body including thermal effect in a infinite domain.

The physical quantities are involved including displcement{u_1,u_2,u_3},electric potential{phi} and temperature increment{T}. The waves are, in general, assumed as forms that all share a common term expi(k*n-v*t) , k---wave number; n---wave normal;v--phase velocity;t--time. This induces a characteristic value and vector problem. The outlines for this problem are 1. input n--->several velocity---->characteristic vector corresponding to each velocity.

what makes me puzzled is along some direction n, all the physical quantities share the same velocity according to the general algorithm. For my instinct it doesn't make any sense. I don't think displacement , electric potential, or thermal diffusion move with the same velocity.

Do you some idea about such issue? any help or discussion are appreciated.

 

[mda]

In general the speeds are different, but if you are looking for a coupled solution then by definition the speeds must all be equal, in order to maintain phase-matching through all space and time.

 

[sir-pinski]

Hello,

Thank you for sharing your problem with the group. It sounds like you are dealing with a complex and interesting situation involving waves in a coupled material. I understand your concern about all the physical quantities sharing the same velocity, as it may not seem intuitive. However, it is important to keep in mind that the wave speed is not necessarily the same as the speed of the individual particles or physical quantities within the material. The wave speed is determined by the material properties and can be affected by factors such as temperature and external forces.

In the case of a piezoelectric body, the electric potential and displacement are closely related, as the former is induced by the latter. This can explain why they may share the same velocity. As for the thermal effect, it is possible that the temperature increment may also have an impact on the wave speed.

I would suggest looking into the specific equations and assumptions you are using in your problem to gain a better understanding of why all the physical quantities may have the same velocity. Additionally, it may be helpful to consult with other experts in the field or engage in further discussions with your group to explore different perspectives and potential solutions.

I hope this helps and wish you the best of luck in solving your problem.