Ferroelectric materials are characterized by interaction-effects of
mechanical and electrical fields due to different polarization directions
of the unit cells. The relations between polarisation and electric
field and mechanical strain and electric field respectively can be
described by hysteresis curves. Some models, which describe the ferroelectric
material behaviour, e.g. 3, 8, rely on concepts close to elastoplasticity.
We use these ideas and derive variational evolution inequalities
analogously to elastoplastic models discussed in 1. Based on these
inequalities we formulate equivalent mathematical problems and get
some existence results. The formulation of variational evolution
inequalities is a good starting point for numerical methods similar
to elastoplasticity (� 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
%0 Journal Article
%1 kutter2011modeling
%A Kutter, Michael
%A Sändig, Anna-Margarete
%D 2011
%I WILEY-VCH Verlag
%J GAMM-Mitteilungen
%K Ferroelectric Principle Variational dissipation from:mhartmann hysteresis, ians inequality, maximum of vorlaeufig
%N 1
%P 84--89
%R 10.1002/gamm.201110013
%T Modeling of ferroelectric hysteresis as variational inequality
%U http://dx.doi.org/10.1002/gamm.201110013
%V 34
%X Ferroelectric materials are characterized by interaction-effects of
mechanical and electrical fields due to different polarization directions
of the unit cells. The relations between polarisation and electric
field and mechanical strain and electric field respectively can be
described by hysteresis curves. Some models, which describe the ferroelectric
material behaviour, e.g. 3, 8, rely on concepts close to elastoplasticity.
We use these ideas and derive variational evolution inequalities
analogously to elastoplastic models discussed in 1. Based on these
inequalities we formulate equivalent mathematical problems and get
some existence results. The formulation of variational evolution
inequalities is a good starting point for numerical methods similar
to elastoplasticity (� 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
@article{kutter2011modeling,
abstract = {Ferroelectric materials are characterized by interaction-effects of
mechanical and electrical fields due to different polarization directions
of the unit cells. The relations between polarisation and electric
field and mechanical strain and electric field respectively can be
described by hysteresis curves. Some models, which describe the ferroelectric
material behaviour, e.g. [3], [8], rely on concepts close to elastoplasticity.
We use these ideas and derive variational evolution inequalities
analogously to elastoplastic models discussed in [1]. Based on these
inequalities we formulate equivalent mathematical problems and get
some existence results. The formulation of variational evolution
inequalities is a good starting point for numerical methods similar
to elastoplasticity (� 2011 WILEY-VCH Verlag GmbH \& Co. KGaA, Weinheim)},
added-at = {2018-07-20T10:55:16.000+0200},
author = {Kutter, Michael and S{\"a}ndig, Anna-Margarete},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2c3e01e05c13c7df1767d793cd87277a1/mathematik},
doi = {10.1002/gamm.201110013},
interhash = {72ee6ff7de36af3e9f85cfc93853cfb8},
intrahash = {c3e01e05c13c7df1767d793cd87277a1},
issn = {1522-2608},
journal = {GAMM-Mitteilungen},
keywords = {Ferroelectric Principle Variational dissipation from:mhartmann hysteresis, ians inequality, maximum of vorlaeufig},
number = 1,
pages = {84--89},
publisher = {WILEY-VCH Verlag},
timestamp = {2019-12-18T14:37:55.000+0100},
title = {Modeling of ferroelectric hysteresis as variational inequality},
url = {http://dx.doi.org/10.1002/gamm.201110013},
volume = 34,
year = 2011
}
