Eventos Anais de eventos
MECSOL 2022
8th International Symposium on Solid Mechanics
Effective piezoelectric properties via AHM-FEM: formulation, implementation and validation
Submission Author:
Bruno Guilherme Christoff , SC
Co-Authors:
Bruno Guilherme Christoff, Humberto Brito, Marcelo Leite Ribeiro, António Joaquím Mendes, Volnei Tita
Presenter: Bruno Guilherme Christoff
doi://10.26678/ABCM.MECSOL2022.MSL22-0075
Abstract
The present study is part of the research project entitled Development of Autonomous Systems using multifunctional batteries for Structural Integrity Monitoring: Application in Impact Damaged Composite Structures (SAFE). The main objective is to evaluate the potential and limitations of using a new generation of multifunctional batteries in systems for monitoring the integrity of composite material structures. This project covers both micromechanical and macromechanical aspects of analyses. Micromechanical models are used to predict the effective properties of multifunctional batteries. These effective properties are then used in macromechanical models, which aim to evaluate the structural integrity of a composite structure through vibrational models and tests in conjunction with damage metrics. The main focus of the present work is the development of micromechanical models that will be used to predict the effective properties, both purely mechanical and piezo-electro-mechanical, of the materials used in multifunctional batteries. For that purpose, a periodic media is considered and it is assumed that a Representative Volume Element (RVE), or unit cell, can be used to represent the heterogeneities in the media. The Asymptotic Homogenization Method (AHM) is used as mathematical background for the derivation of the relations for the determination of the effective properties. The equilibrium relations derived from the AHM are discretized using the Finite Element Method, and all relations are implemented using in-house software. The implemented algorithms are validated by comparing them to analytical solutions and/or literature. In this way, the applicability of the micromechanical approach to determine mechanical and piezo-electro-mechanical properties, is investigated, aiming to feed the macromechanical models, which in turn will be used to evaluate the integrity of damaged composite structures. In the present stage of development of this research, the effective elastic constants of the media are presented as a function of the percentage of the PZT layer considered in the analysis.
Keywords
Asymptotic homogenization method, Finite Element Method, piezoelectric material, Effective properties
