Novel current actuated piezoelectric composite model with fully dynamic electromagnetic field

TL;DR

This paper introduces a new dynamic piezoelectric composite model actuated by current, analyzing its well-posedness, approximation methods, and stabilizability, with numerical results demonstrating closed-loop behavior.

Contribution

It presents a novel current actuated piezoelectric composite model with comprehensive analysis and numerical validation, expanding existing modeling frameworks.

Findings

Model is well-posed

FEM and MFEM approximation methods are effective

Closed-loop behavior is successfully demonstrated

Abstract

In this paper we propose a novel current actuated fully dynamic piezoelectric composite model. This new model complements the existing modeling framework of deriving piezoelectric models. We show that the novel composite model is well-posed. Furthermore, we consider two approximation methods, FEM and MFEM and investigate the stabilizability properties. Finally, we include the closed-loop behaviour in the numerical results.