Crystal elasticity / Pascal Gadaud.

Format:

Book

Author/Creator:

Gadaud, Pascal, author.

Language:

English

Subjects (All):

Crystals--Elastic properties.

Crystals.

Physical Description:

1 online resource (195 pages)

Place of Publication:

Hoboken, New Jersey : ISTE Ltd/John Wiley and Sons Inc, [2022]

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.

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

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

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

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

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)

7.6. Application to the characterization of single coatings

7.7. Three-layer beam bending

7.8. Multi-layered and with gradient in elastic properties of materials

8. Plate Torsion

8.1 Torsion of homogeneous cylinder

8.2. Torsion of homogeneous plate

8.3. Determination of the shear modulus and Poisson's ratio for bulk materials

8.4. Torsion of composite plate

9. Thin Plate Bending

9.1. Bending vibrations of a homogeneous thin plate

9.2. Application to the characterization of thin plate elasticity

10. Vibration Measurements and Macroscopic Internal Stresses

10.1. Experimental evidence of the relaxation of the internal stresses of bulk materials

10.2. Internal stresses and homogeneous beam vibration

10.3. Analysis of the profile of internal stresses of coated materials (static case).

10.3.1. Analysis of the profile of symmetric double coating

10.3.2. Analysis of the profile of single coating stresses

10.4. Influence of internal stresses on the vibrations of coated materials 10.4.1. Influence of internal stresses on the vibrations of coated

10.4.2. Influence of internal stresses on the vibrations of coated

10.5. Application to the determination of internal stresses of coated materials

Conclusion

References

Index

Other titles from iSTE in Materials Science

EULA.

Notes:

Description based on print version record.

Includes bibliographical references and index.

Other Format:

Print version: Gadaud, Pascal Crystal Elasticity

ISBN:

9781119988519

1119988519

9781119988526

1119988527

9781119988502

1119988500

OCLC:

1319650055