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A condensed approach to model the constitutive behavior of multiphase ferroelectric and multiferroic materials
Author(s) -
Lange Stephan,
Ricoeur Andreas
Publication year - 2017
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201710403
Subject(s) - ferroelectricity , materials science , hysteresis , discretization , phase boundary , multiferroics , nonlinear system , boundary value problem , smart material , condensed matter physics , constitutive equation , finite element method , coupling (piping) , phase (matter) , mechanics , physics , composite material , thermodynamics , mathematical analysis , mathematics , dielectric , optoelectronics , quantum mechanics
Ferroelectric as well as ferromagnetic materials are widely used in smart structures and devices as actuators, sensors etc. Most of the developed models, describing the nonlinear behavior, are implemented within the framework of the Finite Element Method. Most investigations, however, are restricted to simple boundary value problems under uniaxial or biaxial loading and their goal is the calculation of hysteresis loops or to determine e.g. electromechanical coupling coefficients. Regarding these circumstances, the so‐called condensed method (CM) is introduced to investigate the macroscopic polycrystalline ferroelectric material behavior at a macroscopic material point without any kind of discretization scheme. In the presented paper, the CM is extended towards multiphase ferroelectric material behavior. Moreover, first numerical results of a multiphase ferroelectric material at the morphotropic phase boundary are presented. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)