Field-dependent nonlinear piezoelectricity: a focused review

A Benjeddou - International Journal of Smart and Nano Materials, 2018 - Taylor & Francis
This contribution presents a multidisciplinary review of the so-called field-dependent
nonlinear piezoelectricity. It starts with an introduction that poses the literature analysis …

Nonlinear response of PZT-actuated resonant micromirrors

A Frangi, A Opreni, N Boni, P Fedeli… - Journal of …, 2020 - ieeexplore.ieee.org
In this work, we address the modelling of piezo-micromirrors with large opening angles. We
focus on various sources of nonlinearites induced by the interaction with the surrounding …

[HTML][HTML] Variational free energy based macroscopical modeling of ferroelectroelasticity

F Sutter, M Kamlah - Journal of the Mechanics and Physics of Solids, 2023 - Elsevier
In this paper, a thermodynamically consistent minimum-type variational model for
ferroelectric materials in a macroscopical continuum approach is presented. The motivation …

[HTML][HTML] Macroscopical non-linear material model for ferroelectric materials inside a hybrid finite element formulation

H Schwaab, H Grünbichler, P Supancic… - International journal of …, 2012 - Elsevier
A new approach for modeling hysteretic non-linear ferroelectric ceramics is presented,
based on a fully ferroelectric/ferroelastic coupled macroscopic material model. The material …

The polarization process of ferroelectric materials in the framework of variational inequalities

AS Pechstein, M Meindlhumer… - ZAMM‐Journal of Applied …, 2020 - Wiley Online Library
We are concerned with the mathematical modeling of the polarization process in
ferroelectric media. We assume that this dissipative process is governed by two constitutive …

[HTML][HTML] 3D mixed finite elements for curved, flat piezoelectric structures

M Meindlhumer, A Pechstein - … Journal of Smart and Nano Materials, 2019 - Taylor & Francis
ABSTRACT The Tangential-Displacement Normal-Normal-Stress (TDNNS) method is a
finite element method that was originally introduced for elastic solids and later extended to …

A piezoelectric 3D hexahedral curvilinear finite element based on the space fiber rotation concept

W Zouari, R Ayad, TB Zineb… - International journal for …, 2012 - Wiley Online Library
The paper is focused on a piezoelectric 3D hexahedral finite element formulation on the
basis of the space fiber rotation concept. The proposed electromechanical finite element has …

Variational inequalities for ferroelectric constitutive modeling

M Meindlhumer, A Pechstein… - Journal of Intelligent …, 2021 - journals.sagepub.com
This paper is concerned with modeling the polarization process in ferroelectric media. We
develop a thermodynamically consistent model, based on phenomenological descriptions of …

Finite element analysis of switching domains using ferroelectric and ferroelastic micromechanical model for single crystal piezoceramics

R Jayendiran, M Ganapathi, TB Zineb - Ceramics International, 2016 - Elsevier
Here, the domain switching in a ferroelectric and ferroelastic single crystal subjected to
electrical, electromechanical, and mechanical loading condition is studied. An isoparametric …

An advanced finite element formulation for piezoelectric shell structures

D Legner, S Klinkel, W Wagner - International journal for …, 2013 - Wiley Online Library
Piezoelectric materials are increasingly employed throughout the field of sensor and
actuator applications. The physical description leads to a boundary value problem with …