Continua with Microstructure

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.