A, B

• aluminum alloy, 77, 118
• amorphous materials, 81
• anelasticity
  • activation energy, 87, 89
  • interstitials, 84, 87
• anisotropy, 5, 11, 17, 19, 27, 28, 39, 47, 49, 61
• Arrhenius diagram, 86
• brazes, 125
• bulk modulus, 14, 16

C, D

• chromium, 78
• cubic symmetry, 4, 10, 14, 27, 31, 34, 43, 47, 51, 61, 74
• Curie point, 72, 74
• damping coefficient Q^-1, 80, 84, 146, 147
• deformation, 3, 5, 6, 9, 95, 101, 129, 137, 152
  • energy, 101, 104, 107, 114, 129, 134, 138, 148, 150, 154
• diamond structure, 14, 27, 79
• dimensionless elasticity, 18
  • representation, 13, 14, 17, 21, 24, 27, 47, 49, 51, 83
• displacement energy, 101, 104, 114, 117, 129, 134, 138, 156
• dynamic resonant method
  • beam bending, 58
  • composite beam bending, 101, 103 114, 117
  • plate
    • bending, 137
    • torsion, 59, 128
  • tension–compression, 58, 95, 97
  • three-layer beam bending, 120
  • torsion of composite plate, 134

E, F

• eigenvalue of the vibration equation, 103, 106, 111, 116, 128
• elastic constants, 3, 11, 14, 16, 20, 27, 28, 39, 43, 61
• Euler–Bernoulli kinematic hypothesis, 101, 137
• ferroelectricity, 74

G, H

• generalized Hooke’s law, 3, 8, 11, 138
• germanium arsenides, 81
• glass transition temperature T_G, 81
• Hamilton’s principle, 96, 149, 153
• heat-affected zones (HAZ), 125, 126
• hexagonal symmetry, 8, 11, 19, 31, 37, 44, 49, 51
• high-entropy alloy, 113, 132
• homogenization, 43, 46, 64

I, L

• interatomic rigidity, 36, 37
• internal macroscopic stresses, 145, 148, 154, 155
• isotropy, 47, 81
• Lagrangian, 97, 102, 104, 108, 115, 117, 127, 138, 148, 152, 155
• lattice constant
  • compactness ratio, 37, 39, 40
  • cubic symmetry, 33

M, N

• magneto-elasticity, 72
• MAX phase, 146
• mechanical model
  • full-field, 56
  • Hashin–Shtrikman, 44
  • Ramakrishnan, 76, 77
  • Reuss, 43, 46, 51, 63
  • self-consistent model, 45
  • simplified approach, 45, 49, 51, 64
  • Voigt, 44, 46, 51, 64
• metallic glass, 83
• micro-cracks, 78
• minimization, 97, 102, 109, 128, 129, 136, 138, 151
• monocrystal, 3, 10, 61
• multi-layered materials with gradient, 123
• “nano-Hooke” law, 34, 37
• nanoscopic scale, 31
• nickel-based superalloy
  • construction additive, 54
  • directional solidification, 62
  • precipitation, 66
  • rafting, 65
  • single-grained, 61, 98, 121
  • TTT (Time–Temperature–Transformation) diagram, 69
• NiCr metallic foam, 79
• nitrided steels, 123

O, P

• orthorhombic symmetries, 27, 87
• PACVD coatings of silicon carbide, 120
• phase tranformation, 69, 74
• phynox, 147
• platinum aluminide, 159
• Poisson’s ratio, 7, 9, 11, 14, 18, 24, 26, 98, 131, 132, 143
• polycarbonate, 83
• polycrystal, 13, 49, 51, 52, 62, 66
• polypropylene, 83
• porosity
  • anisotropic, 77
  • extreme, 78
  • isotropic, 75, 77

R, S

• resonance frequency, 58, 59, 95, 101, 124, 127, 137, 142
• shape memory alloy, 69
• shear, 101, 104, 107, 112, 114, 130
  • force, 102, 108
  • modulus, 7, 9, 11, 14, 26, 27, 44, 131, 133
• sintered silver, 75, 118, 133
• stress (see also internal macroscopic stresses), 3, 4
  • analysis of the profile of stresses, 150
  • release of, 145
• superconductor material, 87

T, Y, Z

• tensile test, 10, 31, 33, 37, 38, 45
• texture, 54
• thermal barrier, 122
• titanium alloy, 52, 70, 98, 125, 131
• torsion test, 7, 9, 10
• tungsten film, 72, 118
• Young’s modulus, 5, 8, 14, 18, 26, 58, 64, 66, 76, 80, 83, 95, 96, 98, 117, 120, 122, 124, 142, 143, 146, 147
• Zener anisotropy, 5, 13, 14, 44