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Continua with Microstructure

BuchKartoniert, Paperback
93 Seiten
Englisch
Springererschienen am06.10.2011
This book proposes a new general setting for theories of bodies with microstructure when they are described within the scheme of the con­ tinuum: besides the usual fields of classical thermomechanics (dis­ placement, stress, temperature, etc.) some new fields enter the picture (order parameters, microstress, etc.).mehr
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BuchKartoniert, Paperback
EUR106,99
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Produkt

KlappentextThis book proposes a new general setting for theories of bodies with microstructure when they are described within the scheme of the con­ tinuum: besides the usual fields of classical thermomechanics (dis­ placement, stress, temperature, etc.) some new fields enter the picture (order parameters, microstress, etc.).
Details
ISBN/GTIN978-1-4612-8166-5
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2011
Erscheinungsdatum06.10.2011
ReiheSpringer Tracts in Natural Philosophy
Seiten93 Seiten
SpracheEnglisch
IllustrationenX, 93 p.
Artikel-Nr.18230643

Inhalt/Kritik

Inhaltsverzeichnis
§1 Introduction.- I General Properties.- §2 The Model for the Microstructure.- §3 The Notion of Observer.- §4 Continua with Microstructure.- §5 Invariance Properties.- §6 Conservation of Mass: Kinetic Energy.- §7 Inertia.- §8 Dynamic Equations of Balance.- §9 Balance of Moment of Momentum.- §10 Boundary Conditions: Change of Variables.- §11 The Conservative Case in Statics.- §12 Perfect Fluids with Microstructure.- §13 Rules of Invariance and the Balance of Moment of Momentum: Variational Principles in Dynamics.- §14 Internal Constraints: Continua with Latent Microstructure.- II Special Theories.- §15 Continua with One-Dimensional Microstructure: Continua with Voids.- §16 Liquids with Bubbles.- §17 Dilatant Granular Materials.- §18 The Perfect Korteweg Fluid.- §19 Continua with Vectorial Microstructure.- §20 Uniaxial Liquid Crystals.- §21 Continua with Affine Microstructure.- §22 Micromorphic Elastic Continua: Bodies with Continuous Distribution of Dislocations.- §23 The Continua of Cosserat.- §24 Biaxial Nematic Liquid Crystals.- III Thermodynamics.- §25 Balance Equations.- §26 Interpretation of the Equations of Balance.- §27 Thermodynamics of Continua with Latent Microstructure.- §28 Comparison with the Traditional Class of Hyperelastic Bodies.- IV Mathematical Problems Posed by the Theory.- §29 The Influence of the Topological Properties of the Manifold M.- §30 Further Remarks on the Topological Theory of Defects.- §31 Existence of Singular Solutions in Statics.- §32 Phase Transitions.- §33 Droplets of Perfect Liquids with Microstructure.mehr