Crystal Elasticity. Pascal Gadaud

writing of various approaches for the cubic symmetry

      2 Chapter 5Table 5.1. Elasticity–pressure coupling for several covalent materials

      3 Chapter 7Table 7.1. Study of the scattering of the elasticity of submicron W films

      4 Chapter 10Table 10.1. Values of the internal stresses analyzed by two methods

      List of Illustrations

      1 Chapter 2Figure 2.1. Dimensionless representation of the elasticity of fcc and cc metals....Figure 2.2. Evolution of elasticity with temperature for fcc and cc metals. For ...Figure 2.3. Evolution of the anisotropy of several metals with temperatureFigure 2.4. Correlation between the experimental ratio of moduli and dimensionle...Figure 2.5. Experimental error on Poisson’s ratio. For a color version of this f...Figure 2.6. Uncertainty on the dimensionless representation of the elasticity of...Figure 2.7. Correlation with S11 and S33 of the three other constants: a) –S13, ...Figure 2.8. Angular representation of the dimensionless elasticity of the hexago...Figure 2.9. Dimensionless representation of the elasticity of all cubic sub-symm...

      2 Chapter 3Figure 3.1. Insertion of atomic springs. For a color version of this figure, see...Figure 3.2. Simulation of a traction test on the lattice cell. For a color versi...Figure 3.3. Spatial anisotropy of the representation of dimensionless elasticity...Figure 3.4. Dependence of c/a ratio on anisotropy (hexagonal symmetry). For a co...

      3 Chapter 4Figure 4.1. Simulation of a traction test on polycrystal. For a color version of...Figure 4.2. Dimensionless representation for the cubic symmetry of the elasticit...Figure 4.3. Dimensionless representation for the hexagonal symmetry of the elast...Figure 4.4. Anisotropy determination error related to experimental error measure...Figure 4.5. Elastic anisotropy of five shades of textured copper alloys. For a c...Figure 4.6. Elastic anisotropy of a superalloy obtained by the additive method

      4 Chapter 5Figure 5.1. Measurement head and its sample for free testsFigure 5.2. Experimental setup for the dynamic resonant measurement of elasticit...Figure 5.3. Single-grained superalloy. The vertical and horizontal directions co...Figure 5.4. Evolution with temperature of the elastic constants of CSMX-4 supera...Figure 5.5. Passage from the matrix of the pseudo-monocrystal to that of the tra...Figure 5.6. Angular elasticity of a superalloy elaborated by directional solidif...Figure 5.7. Rafting during a creep test (loading along the vertical axis)Figure 5.8. Evolution after creep of the elasticity of a single-grained superall...Figure 5.9. Evolution with temperature of the elasticity of an Inconel 718 after...Figure 5.10. Evolution of elasticity in time during the precipitation at 680°. a...Figure 5.11. TTT diagram of an Inconel 718Figure 5.12. Evolution of the elasticity of CuAlNi during its transformation. Su...Figure 5.13. Phase transformation of a titanium alloy. a) Evolution of elasticit...Figure 5.14. Magneto-elastic coupling of pure nickel (Ben Dhia 2016). For a colo...Figure 5.15. Amplitude of ΔE effect as a function of the stress level. Adapted f...Figure 5.16. Evolution of the elasticity of PZT ceramics with temperature (Ben D...Figure 5.17. Observation of the pores on the surface of a sample of porous silve...Figure 5.18. Evolution of the Young’s modulus of sintered silver depending on po...Figure 5.19. Young’s modulus of aluminum of additive manufacturing as a function...Figure 5.20. Micro-cracked electrolytic chromiumFigure 5.21. Effect of pressure on the Young’s modulus and damping of silicon (B...Figure 5.22. Elasticity of SeGe system. a) Rough representation. b) Rationalized...Figure 5.23. Dimensionless elasticity of amorphous materials. For a color versio...Figure 5.24. Isothermal damping spectra of a γ’-Ni3Al polycrystal (Gadaud and Ch...Figure 5.25. Arrhenius diagram for the relaxation of Ni in Ni3Al (Gadaud and Cha...Figure 5.26. Isothermal damping spectra of YBCO superconductor (Gadaud and Kaya ...

      5 Chapter 6Figure 6.1. Elasticity as a function of temperature for an isotropic titanium al...Figure 6.2. Elasticity as a function of temperature for an anisotropic superallo...

      6 Chapter 7Figure 7.1. Relative variation of the Young’s modulus measured during bending by...Figure 7.2. Elasticity of a high-entropy alloy depending on its stoichiometryFigure 7.3. Comparison of the elasticity of porous silver under massive form or ...Figure 7.4. Influence of thickness on the apparent elasticity of a SiC coating d...Figure 7.5. Superalloy + anticorrosive platinum aluminide + thermal barrierFigure 7.6. Elasticity with temperature of the superalloy + anticorrosive platin...Figure 7.7. Evolution of elasticity near the surface of nitrided steel. Adapted ...Figure 7.8. Elasticity profile perpendicular to a welding by friction. Adapted f...

      7 Chapter 8Figure 8.1. Comparison of dispersion in the measurement of Poisson’s ratio with ...Figure 8.2. Evolution of Poisson’s ratio with temperature for various materials ...Figure 8.3. Evolution with temperature of Young’s and shear moduli for a high-en...Figure 8.4. Evolution with temperature of Young’s and shear moduli of porous bul...

      8 Chapter 9Figure 9.1. Vibration mode on a quarter of the plate. For a color version of thi...

      9 Chapter 10Figure 10.1. Evidence of the relaxation of elaboration stresses for an HIP sinte...Figure 10.2. Evidence of the relaxation of elaboration stresses for rolled steel...Figure 10.3. Evidence of the relaxation of elaboration stresses of AlPtNi coatin...Figure 10.4. Evidence of the relaxation of elaboration stresses of a porous silv...

      Guide

      1  Cover

      2  Table of Contents

      3  Title Page

      4  Copyright

      5  Introduction

      6  Begin Reading

      7  Conclusion

      8  References

      9  Index

      10  End User License Agreement

      Pages

      1  v

      2  ii

      3  iii

      4  iv

      5  ix

      6  x

      7  xi

      8  xii

      9  1

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