Microcontinuum Field Theories - nieuw boek

EAN (ISBN-13): 9781461205555
Verschijningsjaar: 2012
Uitgever: Springer New York

Boek bevindt zich in het datenbestand sinds 2016-01-07T19:24:22+01:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2023-03-09T13:08:20+01:00 (Amsterdam)
ISBN/EAN: 9781461205555

ISBN - alternatieve schrijfwijzen:
978-1-4612-0555-5
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: eringen

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Gegevens van de uitgever

Auteur: A. Cemal Eringen
Titel: Microcontinuum Field Theories - I. Foundations and Solids
Uitgeverij: Springer; Springer US
325 Bladzijden
Verschijningsjaar: 2012-12-06
New York; NY; US
Taal: Engels
255,73 € (DE)
262,90 € (AT)
295,00 CHF (CH)
Available
XVI, 325 p.

EA; E107; eBook; Nonbooks, PBS / Physik, Astronomie/Mechanik, Akustik; Klassische Mechanik; Verstehen; Dissipation; composite material; deformation; kinematics; mechanics; porous media; rotation; solids; stability; stress; thermodynamics; C; Classical and Continuum Physics; Theoretical and Applied Mechanics; Classical Mechanics; Condensed Matter Physics; Classical and Continuum Physics; Engineering Mechanics; Classical Mechanics; Condensed Matter Physics; Physics and Astronomy; Maschinenbau; Physik der kondensierten Materie (Flüssigkeits- und Festkörperphysik); BB

1 Kinematics.- 1.0 Scope.- 1.1 Physical Picture.- 1.2 Motions and Deformations.- 1.3 Rotation.- 1.4 Microstretch and Micropolar Continua.- 1.5 Strain Measures.- 1.6 Relative Motion, Relative Strain Measures.- 1.7 Compatibility Conditions.- 1.8 Material Time-Rate of Tensors.- 1.9 Objective Tensors.- 1.10 Mass, Inertia, Momenta, Kinetic Energy.- 1 Problems.- 2 Stress.- 2.0 Scope.- 2.1 Balance of Energy.- 2.2 Balance Laws.- 2.3 Second Law of Thermodynamics.- 2.4 Dissipation Potential.- 2 Problems.- 3 Constitutive Equations.- 3.0 Scope.- 3.1 Constitutive Equations of Elastic Solids.- 3.2 Constitutive Equations of Fluids.- 3.3 Thermodynamic Restrictions on Solids.- 3.4 Thermodynamic Restrictions on Fluids.- 3.5 Thermodynamic Restrictions on.- Memory-Dependent Solids.- 3.6 Thermodynamic Restrictions on.- Memory-Dependent Fluids.- 3 Problems.- 4 Electromagnetic Interactions.- 4.0 Scope.- 4.1 Balance Laws.- 4.2 Constitutive Equations of E-M Solids.- 4.3 Constitutive Equations of E-M Fluids.- 4.4 Memory-Dependent E-M Solids.- 4.5 Memory-Dependent E-M Fluids.- 4 Problems.- 5 Theory of Micropolar Elasticity.- 5.0 Scope.- 5.1 Linear Constitutive Equations.- 5.2 Material Symmetry and Stability.- 5.3 Isotropic Solids.- 5.4 Formulation of Problems in Micropolar Elasticity.- 5.5 Mixed Boundary-Initial Value Problems in Linear Theory.- 5.6 Curvilinear Coordinates.- 5.7 Uniqueness Theorem.- 5.8 Reciprocal Theorem.- 5.9 Variational Principles.- 5.10 Conservation Laws.- 5.11 Plane Harmonic Waves.- 5.12 Material Moduli.- 5.13 Experimental Attempts.- 5.14 Displacement Potentials.- 5.15 Micropolar Waves in Half-Space.- 5.16 Micropolar Surface Waves.- 5.17 Micropolar Waves in Plates.- 5.18 Fundamental Solutions.- 5.19 Problems of Sphere and Spherical Cavity.- 5.20 Axisymmetric Problems.- 5.21 Penny-Shaped Crack.- 5.22 Stress Distribution Around an Elliptic Hole.- 5.23 Stress Concentration Around a Circular Hole.- 5.24 Nonlinear Waves.- 5.25 Fundamental Solutions in Micropolar Elastostatics.- 5.26 Dislocations and Disclinations.- 5.27 Theory of Micropolar Plates.- 5.28 Flexural Waves.- 5.29 Other Contributions.- 5 Problems.- 6 Microstretch Elasticity.- 6.0 Scope.- 6.1 Linear Constitutive Equations.- 6.2 Uniqueness Theorem.- 6.3 Plane Harmonic Microstretch Waves.- 6.4 A Lattice Model for Microstretch Continuum.- 6.5 Fundamental Solutions.- 6.6 Microstretch Surface Waves.- 6.7 Other Solutions.- 6 Problems.- 7 Micromorphic Elasticity.- 7.0 Scope.- 7.1 Linear Constitutive Equations.- 7.2 Passage to Microstretch and Micropolar Theories.- 7.3 Restrictions on Material Moduli.- 7.4 Plane Harmonic Waves.- 7.5 Other Contributions.- 7 Problems.- 8 Electromagnetic Interactions.- 8.0 Scope.- 8.1 Linear Constitutive Equations.- 8.2 Material Stability.- 8.3 Balance Laws.- 8.4 Field Equations.- 8.5 Piezoelectric Waves.- 8 Problems.- References.
Microcontinuum field theories constitute an extension of classical field theories to microscopic spaces and short time scales. The ideas developed here are important, for example, in considering the fluid or elastic properties of blood, porous media, polymers, liquid crystals, slurries, and composite materials.