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Continua with Microstructure
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Table of Contents

§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.

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