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Mathematical Models And Methods For Smart Materials

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Title: Mathematical Models And Methods For Smart Materials
Description: This book contains the papers presented at the conference on “Mathematical Models and Methods for Smart Materials”, held in Italy in 2001. The papers are divided into four parts:”Methods in Materials Science” deals mainly with mathematical techniques for the investigation of physical systems, such as liquid crystals, materials with internal variables, amorphous materials, and thermoelastic materials. Also, techniques are exhibited for the analysis of stability and controllability of classical models of continuum mechanics and of dynamical systems.”Modelling of Smart Materials” is devoted to models of superfluids, superconductors, materials with memory, nonlinear elastic solids, and damaged materials. In the elaboration of the models, thermodynamic aspects play a central role in the characterization of the constitutive properties.”Well-Posedness in Materials with Memory” deals with existence, uniqueness and stability for the solution of problems, most often expressed by integrodifferential equations, which involve materials with fading memory. Also, attention is given to exponential decay in viscoelasticity, inverse problems in heat conduction with memory, and automatic control for parabolic equations.”Analytic Problems in Phase Transitions” discusses nonlinear partial differential equations associated with phase transitions, and hysteresis, possibly involving fading memory effects. Particular applications are developed for the phase-field model with memory, the Stefan problem with a Cattaneo-type equation, the hysteresis in thermo-visco-plasticity, and the solid-solid phase transition.
Authors: Mauro Fabrizio, Barbara Lazzari, Angelo Morro
Resource Type: eBook.
Subjects: Mathematical models--Congresses, Smart materials--Congresses
Categories: MATHEMATICS / Applied, SCIENCE / Physics / Mathematical & Computational
Database: eBook Collection (EBSCOhost)
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 514350
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AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 978.796813964844
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  Data: Mathematical Models And Methods For Smart Materials
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  Data: This book contains the papers presented at the conference on “Mathematical Models and Methods for Smart Materials”, held in Italy in 2001. The papers are divided into four parts:”Methods in Materials Science” deals mainly with mathematical techniques for the investigation of physical systems, such as liquid crystals, materials with internal variables, amorphous materials, and thermoelastic materials. Also, techniques are exhibited for the analysis of stability and controllability of classical models of continuum mechanics and of dynamical systems.”Modelling of Smart Materials” is devoted to models of superfluids, superconductors, materials with memory, nonlinear elastic solids, and damaged materials. In the elaboration of the models, thermodynamic aspects play a central role in the characterization of the constitutive properties.”Well-Posedness in Materials with Memory” deals with existence, uniqueness and stability for the solution of problems, most often expressed by integrodifferential equations, which involve materials with fading memory. Also, attention is given to exponential decay in viscoelasticity, inverse problems in heat conduction with memory, and automatic control for parabolic equations.”Analytic Problems in Phase Transitions” discusses nonlinear partial differential equations associated with phase transitions, and hysteresis, possibly involving fading memory effects. Particular applications are developed for the phase-field model with memory, the Stefan problem with a Cattaneo-type equation, the hysteresis in thermo-visco-plasticity, and the solid-solid phase transition.
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  Data: <searchLink fieldCode="AR" term="%22Mauro+Fabrizio%22">Mauro Fabrizio</searchLink><br /><searchLink fieldCode="AR" term="%22Barbara+Lazzari%22">Barbara Lazzari</searchLink><br /><searchLink fieldCode="AR" term="%22Angelo+Morro%22">Angelo Morro</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 620.11
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Mathematical models--Congresses
        Type: general
      – SubjectFull: Smart materials--Congresses
        Type: general
    Titles:
      – TitleFull: Mathematical Models And Methods For Smart Materials
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Mauro Fabrizio
      – PersonEntity:
          Name:
            NameFull: Barbara Lazzari
      – PersonEntity:
          Name:
            NameFull: Angelo Morro
      – PersonEntity:
          Name:
            NameFull: Mauro Fabrizio
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          Name:
            NameFull: Barbara Lazzari
      – PersonEntity:
          Name:
            NameFull: Angelo Morro
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      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2002
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9789812382351
            – Type: isbn-electronic
              Value: 9789812776273
          Numbering:
            – Type: volume
              Value: 00062
          Titles:
            – TitleFull: Mathematical Models And Methods For Smart Materials
              Type: main
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