Author | Capriz, Gianfranco. author |
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Title | Continua with Microstructure [electronic resource] / by Gianfranco Capriz |
Imprint | New York, NY : Springer New York, 1989 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-3584-2 |
Descript | X, 93 p. online resource |
ยง1 Introduction -- I General Properties -- ยง2 The Model for the Microstructure -- ยง3 The Notion of Observer -- ยง4 Continua with Microstructure -- ยง5 Invariance Properties -- ยง6 Conservation of Mass: Kinetic Energy -- ยง7 Inertia -- ยง8 Dynamic Equations of Balance -- ยง9 Balance of Moment of Momentum -- ยง10 Boundary Conditions: Change of Variables -- ยง11 The Conservative Case in Statics -- ยง12 Perfect Fluids with Microstructure -- ยง13 Rules of Invariance and the Balance of Moment of Momentum: Variational Principles in Dynamics -- ยง14 Internal Constraints: Continua with Latent Microstructure -- II Special Theories -- ยง15 Continua with One-Dimensional Microstructure: Continua with Voids -- ยง16 Liquids with Bubbles -- ยง17 Dilatant Granular Materials -- ยง18 The Perfect Korteweg Fluid -- ยง19 Continua with Vectorial Microstructure -- ยง20 Uniaxial Liquid Crystals -- ยง21 Continua with Affine Microstructure -- ยง22 Micromorphic Elastic Continua: Bodies with Continuous Distribution of Dislocations -- ยง23 The Continua of Cosserat -- ยง24 Biaxial Nematic Liquid Crystals -- III Thermodynamics -- ยง25 Balance Equations -- ยง26 Interpretation of the Equations of Balance -- ยง27 Thermodynamics of Continua with Latent Microstructure -- ยง28 Comparison with the Traditional Class of Hyperelastic Bodies -- IV Mathematical Problems Posed by the Theory -- ยง29 The Influence of the Topological Properties of the Manifold M -- ยง30 Further Remarks on the Topological Theory of Defects -- ยง31 Existence of Singular Solutions in Statics -- ยง32 Phase Transitions -- ยง33 Droplets of Perfect Liquids with Microstructure