PUMA publications for /user/britsteiner/dissipation%20ianshttps://puma.ub.uni-stuttgart.de/user/britsteiner/dissipation%20iansPUMA RSS feed for /user/britsteiner/dissipation%20ians2024-03-28T12:40:30+01:00- Modeling of ferroelectric hysteresis as variational inequalityhttps://puma.ub.uni-stuttgart.de/bibtex/2c3e01e05c13c7df1767d793cd87277a1/britsteinerbritsteiner2019-06-17T14:25:24+02:00Ferroelectric Principle Variational dissipation hysteresis, ians inequality, maximum of vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Michael Kutter" itemprop="url" href="/person/172ee6ff7de36af3e9f85cfc93853cfb8/author/0"><span itemprop="name">M. Kutter</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Anna-Margarete Sändig" itemprop="url" href="/person/172ee6ff7de36af3e9f85cfc93853cfb8/author/1"><span itemprop="name">A. Sändig</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">GAMM-Mitteilungen</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">34 </span></span>(<span itemprop="issueNumber">1</span>):
<span itemprop="pagination">84--89</span></em> </span>(<em><span>2011<meta content="2011" itemprop="datePublished"/></span></em>)</span>Mon Jun 17 14:25:24 CEST 2019GAMM-Mitteilungen184--89Modeling of ferroelectric hysteresis as variational inequality342011Ferroelectric Principle Variational dissipation hysteresis, ians inequality, maximum of vorlaeufig 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)