Le Roux Elasticity

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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.

Continuously Defective MaterialsCosserat 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 ContinuaEricksen 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.

Eringen-Mindlin Micromorphic Model of Microstructured ContinuaWeakly 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.

Gradient ElasticityGradient 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.

This dictionary offers clear and reliable explanations of over 100 keywords covering the entire field of non-classical continuum mechanics and generalized mechanics, including the theory of elasticity, heat conduction, thermodynamic and electromagnetic continua, as well as applied mathematics. Every entry includes the historical background and the underlying theory, basic equations and typical applications. The reference list for each entry provides a link to the original articles and the most important in-depth theoretical works. Last but not least, every entry is followed by a cross-reference to other related subject entries in the dictionary.