Non-Classical Continuum Mechanics : A Dictionary.

Intro -- Foreword -- Preface -- Contents -- Prerequisites -- 1 What Is Classical Continuum Mechanics? -- Introduction -- Balance Equations -- Reminder: The Most Classical Behaviours of Classical Continuum Thermo-Mechanics -- Finite-Strain Thermoelasticity -- Linear Homogeneous Isotropic Elasticity -- Linear Elastic Crystals -- Eulerian Fluids -- Newtonian-Stokesian Fluids -- Fourier Heat Conduction and Linear Thermoelasticity (Duhamel-Neumann) -- Linear Piezoelectricity -- References -- 2 What Is Generalized Continuum Mechanics (GCM)? -- Introduction -- Asymmetric Stress -- Surface Couples -- Eringen-Mindlin Micromorphic Model of Microstructured Continua -- Weakly Nonlocal Modelling -- Strongly Nonlocal Modelling -- The Loss of Euclidean Structure -- The Dictionary in Alphabetic Order -- 3 A-B: From "Aifantis E.C" to "Biot's Poro-Elasticity" -- Aifantis E.C -- Anisotropic Fluids -- Asymmetric Elasticity -- Auxetic Materials -- Biot's Theory of Poro-elasticity -- 4 C: From "Capillarity" to "Couple Stress (in Medium with Constrained Rotation)" -- Capillarity -- Cellular Materials as Generalized Continua -- Configurational Mechanics -- Connection and Torsion -- Contiguity -- Continua with Latent Microstructure -- Continuously Defective Materials -- Cosserat Continua -- Cosserat Continua (Experimental Confrontation) -- Cosserat Eugène and François -- Cosserat Point -- Couple Stress -- Couple Stress (in Medium with Constrained Rotation) -- 5 D: From "Defects in GCM" to "Duhem Pierre" -- Defects in GCM -- Density-Gradient Fluids -- Differential Geometry in Nonclassical Continuum Mechanics -- Dilatational Elasticity -- Dipolar Continua -- Directors' Theory -- Dislocations and Disclinations -- Double Force -- Duhem Pierre -- 6 E: From "Edelen D.G.B." to "Extra-Entropy Flux" -- Edelen D.G.B -- EDGE FORCES -- Electric Quadrupoles.

Electromagnetic Continua -- Ericksen J.L -- Eringen A. Cemal -- Eringen-Mindlin Medium -- Extended Thermodynamics -- Extra-Entropy Flux -- 7 F: From "Ferroelectric Crystals (Elasticity of)" to "Fractal Continua" -- Ferroelectric Crystals (Elasticity of) -- Modelling -- Approach via the Principle of Virtual Power -- Analogy with Cosserat Continua -- Reduction to a Model Without Microstructure -- Antiferroelectric Materials -- Ferroic States -- Fractal Continua -- 8 G: From "Generalized Continuum Mechanics" to "Green A.E." -- Generalized Continuum Mechanics (GCM) -- Generalized Internal Forces -- Generalized Thermo-Elasticity -- Gradient Elasticity -- Gradient Plasticity -- Granular Materials as Generalized Continua -- Green A.E -- 9 H-I: From "Higher-Order Gradient Theories" to "Ionic Crystals (Elasticity of)" -- Higher-Order Gradient Theories -- Homogenization -- Hyperstress (Notion of) -- Implicit Gradient Elasticity Models -- Internal Degrees of Freedom -- Internal Variables of State -- Interstitial Working -- Ionic Crystals (Elasticity of) -- Remark on electric quadrupoles -- 10 K-L: From "Kelvin Continuum" to "Long-Range Interactions" -- Kelvin Continuum -- Kondo K -- Korteweg Fluids -- Kröner Ekkehart -- Kunin I.A -- Lattice Dynamics -- Le Roux Elasticity -- Liquid Crystals as Continua -- Liquid Crystals (Ericksen-Leslie Theory) -- Interaction With Electromagnetic Fields -- Liquid Crystals (Eringen-Lee theory) -- Liquid Crystals (Landau-De Gennes theory) -- Long-Range Interactions -- 11 M: From "Material Growth (Theory of)" to "Micromagnetism in Elastic Solids" -- Material Growth (theory of) -- Material Inhomogeneities (Theory of) -- Materials with Voids -- Mesoscopic Theory of Complex Continua -- Metamaterials -- Micromagnetism in Elastic Solids -- Continuum Modelling -- Global Balance Laws -- Local Balance Laws.

Approach via the Principle of Virtual Power -- Hamiltonian Variational Formulation -- Ferrimagnetic and Antiferromagnetic Materials -- Analogy with Cosserat Continua -- Reduction to a Model Without Microstructure (Paramagnetic and Soft-ferromagnetic Bodies) -- Micromorphic Continua -- Micromorphic Fluids -- Micropolar Continua (Cf. Cosserat Continua) -- Linear Strain Measures -- Micropolar Elasticity -- Theory for Small Strains and Small Internal Rotation Angles -- Micropolar Fluids -- Microstretch Continua -- Constitutive Equations -- Microstretch Elasticity -- Microstretch Fluids -- Microstructure -- Microstructured Continuum Theory (Eringen) -- Special cases -- Microsctructured Continuum Theory (Mindlin) -- Field Equations -- Microstructured Fluids -- Mindlin R.D -- Mixtures (Mechanics of) -- Multipolar Continua (Green-Rivlin) -- 12 N: From "Naghdi P.M." to "Nowacki W." -- Naghdi P.M -- Non-euclidean Geometry of Defective Materials -- Non-holonomic Continua -- Nonlinear Waves in Generalized Continua -- Nonlocal Damage -- Weak Nonlocality -- Nonlocality (as Opposed to Contiguity) -- Nonlocality (Strong) -- Nonlocality (Weak) -- Nowacki W -- 13 O-P: From "Oriented Media (with Directors)" to "Porous Media as Seen in GCM" -- Oriented Media (with Directors) -- Peridynamics -- Introduction -- The Main Idea -- Polarization Gradient -- Ponderomotive Couple -- Porous Media (as Seen in GCM) -- Porous Media and the Theory of Mixtures -- 14 Q-R: From "Quasi-crystals (Elasticity of)" to "Rogula R.D." -- Quasi-crystals (Elasticity of) -- Introduction -- General Field Equations -- Nonlinearity and Plasticity of Quasicrystals -- Conclusion -- Relaxed Micromorphic Continua -- Rivlin R.S -- Rogula D -- 15 S-T: From "Solitons (in on-Classical Continua)" to "Truesdell C.A." -- Solitons (in Non-classical Continua) -- Solutions of Macromolecules -- Introduction.

Microstructure and Conformation -- Constitutive Relations -- Superfluids -- Two-Fluid Model and Internal Momentum -- Surface Tension -- Toupin R.A -- Truesdell C.A -- Conclusion.

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