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Continua with Microstructure Softcover reprint of the original 1st ed. 1989 [Pehme köide]

  • Formaat: Paperback / softback, 93 pages, kõrgus x laius: 235x155 mm, kaal: 179 g, X, 93 p., 1 Paperback / softback
  • Sari: Springer Tracts in Natural Philosophy 35
  • Ilmumisaeg: 06-Oct-2011
  • Kirjastus: Springer-Verlag New York Inc.
  • ISBN-10: 1461281660
  • ISBN-13: 9781461281665
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  • Formaat: Paperback / softback, 93 pages, kõrgus x laius: 235x155 mm, kaal: 179 g, X, 93 p., 1 Paperback / softback
  • Sari: Springer Tracts in Natural Philosophy 35
  • Ilmumisaeg: 06-Oct-2011
  • Kirjastus: Springer-Verlag New York Inc.
  • ISBN-10: 1461281660
  • ISBN-13: 9781461281665
Teised raamatud teemal:
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.

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Springer Book Archives
§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.