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A condensed microelectromechanical constitutive and damage model for tetragonal ferroelectrics
Author(s) -
Lange Stephan,
Ricoeur Andreas
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410227
Subject(s) - tetragonal crystal system , poling , materials science , constitutive equation , ferroelectricity , tensor (intrinsic definition) , hysteresis , condensed matter physics , residual stress , domain (mathematical analysis) , mechanics , structural engineering , composite material , physics , crystal structure , engineering , crystallography , mathematics , chemistry , finite element method , optoelectronics , mathematical analysis , geometry , dielectric
A condensed model for ferroelectric solids with tetragonal unit cells is presented. The approach is microelectromechanically and physically motivated, considering discrete switching processes on the level of unit cells and quasi‐continuous evolution of inelastic fields on the domain wall level. To calculate multiple grain interactions an interaction tensor is introduced. Hysteresis loops are simulated for pure electric and electromechanical loading, demonstrating e.g. the influence of a compressive preload on the poling process and interaction between statistically arranged crystallits. The residual stresses and the corresponding principle stresses are used to simulate fatigue damage in ferroelectric materials. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)