Mathematical model for Piezoelectric Actuator-Polymer coupling

I need a mathematical model that can predict the behavior of a piezoelectric actuator coupled with a viscoelastic polymer at a macroscopic level.

Key Requirements:
- Understanding of Piezoelectric Actuators: You should be well-versed in how these actuators function and their typical behavior when coupled with other materials.
- Proficiency in Mathematical Modeling: You'll need to be able to create a model that can predict the actuator-polymer behavior accurately.
- Experience with Viscoelastic Polymers: A strong understanding of the properties and behavior of viscoelastic polymers is essential for this project.
- Macroscopic Level of Detail: The model should focus on the overall behavior of the system, rather than delving into the internal mechanisms.

Ideal Skills:
- Mechanical Engineering: A background in mechanical engineering or a related field will give you the necessary knowledge to understand the actuator's behavior.
- Electrical Engineering: Some knowledge of electrical engineering will be beneficial, given the actuator type.
- Materials Science: Understanding of the viscoelastic properties of polymers is crucial.
- Mathematical Modeling Software: Proficiency in software used for creating and simulating mathematical models is highly desirable.

The successful candidate will be able to create a model that accurately predicts the behavior of the piezoelectric actuator and viscoelastic polymer system, helping to inform future design and optimization efforts.