| Description |
1 online resource |
| Contents |
Cover -- Half-Title Page -- Dedication -- Title Page -- Copyright Page -- Introduction -- Contents -- Part 1. Crystal Elasticity: Dimensionless and Multiscale Representation -- 1. Macroscopic Elasticity: Conventional Writing -- 1.1. Generalized Hooke's law -- 1.1.1. Cubic symmetry -- 1.1.2. Hexagonal symmetry -- 1.2. Theory and experimental precautions -- 2. Macroscopic Elasticity: Dimensionless Representation and Simplification -- 2.1. Cubic symmetry: cc and fcc metals -- 2.2. Hexagonal symmetry -- 2.3. Other symmetries -- 2.4. Problem posed by cubic sub-symmetries |
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3. Crystal Elasticity: From Monocrystal to Lattice -- 3.1. Discrete representation -- 3.2. Continuous representation for cubic symmetry -- 3.3. Continuous representation for the hexagonal symmetry -- 4. Macroscopic Elasticity: From Monocrystal to Polycrystal -- 4.1. Homogenization: several historical approaches and a simplified approach -- 4.2. Choice of "ideal" data sets and comparison of various approaches -- 4.3. Two-phase materials, inverse problem and textured polycrystals 4.3.1. Two-phase materials -- 4.3.2. Reverse problem -- 4.3.3. Textured materials |
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5. Experimental Macroscopic Elasticity: Relation with Structural Aspects and Physical Properties -- 5.1. A high-performance experimental method -- 5.2. Elasticity of nickel-based superalloys -- 5.2.1. Single-grained superalloy -- 5.2.2. Passage from cubic symmetry to transverse isotropic -- 5.2.3. Rafting -- 5.2.4. Precipitation in Inconel 718 -- 5.3. Elasticity and physical properties -- 5.3.1. Phase transformations -- 5.3.2. Magneto-elasticity -- 5.3.3. Ferroelectricity and phase transformation -- 5.4. Influence of porosity and damage on elasticity 5.4.1. Isotropic porosity |
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5.4.2. Anisotropic porosity -- 5.4.3. Micro-cracks and extreme porosity -- 5.5. The mystery of the diamond structure -- 5.6. What about amorphous materials? -- 5.7. Inelasticity and fine structure of crystals -- 5.7.1. Relaxation of substitutional defects -- 5.7.2. Relaxation of interstitial defects -- PART 2: Lagrangian Theory of Vibrations: Application to the Characterization of Elasticity -- Introduction to Part 2 -- 6. Tension-Compression in a Cylindrical Rod -- 6.1. Tension-compression without transverse deformation -- 6.2. Tension-compression with transverse deformation |
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6.3. Determination of E and v of isotropic and anisotropic materials -- 7. Beam Bending -- 7.1. Homogeneous beam bending without shear -- 7.2. Homogeneous beam bending with shear 7.2.1. Homogeneous beam bending with shear (rotation) -- 7.2.2. Homogeneous beam bending with shear (deformation) -- 7.2.3. Homogeneous beam bending with shear (comparison) -- 7.3. Application to the characterization of the elasticity of bulk materials -- 7.4. Composite beam bending (substrate + coating) -- 7.5. Composite beam bending (substrate + "sandwich" coating) |
| Summary |
This book is an original and timeless description of the elasticity of solids, and more particularly of crystals, covering all aspects from theory and elastic constants to experimental moduli. The first part is dedicated to a phenomenological and dimensionless representation of macroscopic crystal elasticity, which allows us to compare all crystals of the same symmetry with the concept of anisotropy and to establish new relations between elastic constants. Multi-scale approaches are then put forward to describe the elasticity at an atomic scale or for polycrystals. The relationship between elasticity and structural or physical properties is illustrated by many experimental data. The second part is entirely devoted to a Lagrangian theory of vibrations and its application to the characterization of elasticity by means of the dynamic resonant method. This unique approach applied to tensioncompression, flexural and torsional tests allows for an accurate determination of elastic moduli of structural and functional crystals, varying from bulk to multi-coated materials |
| Subject |
Crystals -- Elastic properties
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| Form |
Electronic book
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| ISBN |
9781119988502 |
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1119988500 |
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1119988527 |
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9781119988526 |
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