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         "id"   : "https://puma.ub.uni-stuttgart.de/bibtex/2c3e01e05c13c7df1767d793cd87277a1/britsteiner",         
         "tags" : [
            "Ferroelectric","Principle","Variational","dissipation","hysteresis,","ians","inequality,","maximum","of","vorlaeufig"
         ],
         
         "intraHash" : "c3e01e05c13c7df1767d793cd87277a1",
         "interHash" : "72ee6ff7de36af3e9f85cfc93853cfb8",
         "label" : "Modeling of ferroelectric hysteresis as variational inequality",
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         "date" : "2019-06-17 14:25:24",
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         "pub-type": "article",
         "journal": "GAMM-Mitteilungen","publisher":"WILEY-VCH Verlag",
         "year": "2011", 
         "url": "http://dx.doi.org/10.1002/gamm.201110013", 
         
         "author": [ 
            "Michael Kutter","Anna-Margarete Sändig"
         ],
         "authors": [
         	
            	{"first" : "Michael",	"last" : "Kutter"},
            	{"first" : "Anna-Margarete",	"last" : "Sändig"}
         ],
         "volume": "34","number": "1","pages": "84--89","abstract": "Ferroelectric materials are characterized by interaction-effects of\n\tmechanical and electrical fields due to different polarization directions\n\tof the unit cells. The relations between polarisation and electric\n\tfield and mechanical strain and electric field respectively can be\n\tdescribed by hysteresis curves. Some models, which describe the ferroelectric\n\tmaterial behaviour, e.g. [3], [8], rely on concepts close to elastoplasticity.\n\tWe use these ideas and derive variational evolution inequalities\n\tanalogously to elastoplastic models discussed in [1]. Based on these\n\tinequalities we formulate equivalent mathematical problems and get\n\tsome existence results. The formulation of variational evolution\n\tinequalities is a good starting point for numerical methods similar\n\tto elastoplasticity (© 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)",
         "issn" : "1522-2608",
         
         "doi" : "10.1002/gamm.201110013",
         
         "bibtexKey": "kutter2011modeling"

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