Model for piezoelectric/ferroelectric composites polarized with interdigitated electrodes

AHMAD EDUARDO GUENNAM; BIBIANA M. LUCCIONI

COMPOSITE STRUCTURES

ELSEVIER SCI LTD

Lugar: Amsterdam; Año: 2015 p. 312 - 324

0263-8223

A piezoelectric composite homogenization model (PCHM) is presented in this article. A systematicmethod for predicting the composite macroscopic history-dependent electromechanical response isdeveloped and particularized for piezoelectric fiber composites polarized with interdigitated electrodes.As other composite models, the proposed PCHM requires appropriate constitutive equations describingeach pure constituent namely, fiber and matrix. In this work, dielectric matrix is modeled as electromechanicallylinear while an existing non-linear phenomenological model is used for the fibers.Additionally, a cutting-plane algorithm is developed and implemented to integrate the fibers constitutiveequation. The proposed PCHM is implemented in a previously developed ABAQUS/UEL piezoelectric shell.To evaluate the proposed model, a representative elementary volume (REV) is analyzed with a finiteelement (FE) model using an ABAQUS/UEL piezoelectric brick and the same material models for each constituentof the composite. Practical examples are addressed with both, FE/REV and the proposed PCHM.Electromechanical responses predicted with both approaches are in good agreement. Numerical resultsillustrate the ability of the proposed PCHM to capture important aspects of piezoelectric devices suchas quasi-linear range, as well as both, pressure and electric-field driven depolarization. Finally, a briefconvergence analysis is performed indicating an encouraging computational performance of the proposedPCHM.