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＜電子ブック＞
Continua with Microstructure / by Gianfranco Capriz
(Springer Tracts in Natural Philosophy ; 35)

版	1st ed. 1989.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	1989
本文言語	英語
大きさ	X, 93 p : online resource
著者標目	*Capriz, Gianfranco author SpringerLink (Online service)
件　名	LCSH:Mathematical physics FREE:Theoretical, Mathematical and Computational Physics
一般注記	§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 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.). The book can be used in a semester course for students who have already followed lectures on the classical theory of continua and is intended as an introduction to special topics: materials with voids, liquid crystals, meromorphic con­ tinua. In fact, the content is essentially that of a series of lectures given in 1986 at the Scuola Estiva di Fisica Matematica in Ravello (Italy). I would like to thank the Scientific Committee of the Gruppo di Fisica Matematica of the Italian National Council of Research (CNR) for the invitation to teach in the School. I also thank the Committee for Mathematics of CNR and the National Science Foundation: they have supported my research over many years and given me the opportunity to study the topics presented in this book, in particular through a USA-Italy program initiated by Professor Clifford A. Truesdell. My interest in the field dates back to a period of collaboration with Paolo Podio-Guidugli and some of the basic ideas came up during our discussions HTTP:URL=https://doi.org/10.1007/978-1-4612-3584-2

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