## Treatise on materials science and technology, Volume 3 |

### From inside the book

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Page 49

Since a [1 10] crystal is most often used to make experimental elastic-constant

determinations for cubic crystals, the fact that a ... C.

materials ...

Since a [1 10] crystal is most often used to make experimental elastic-constant

determinations for cubic crystals, the fact that a ... C.

**Second**-**Order Elastic****Constants**The**second**-**order elastic constants**are of primary importance tomaterials ...

Page 139

They used the comparison between the pressure derivatives of the

pressure derivatives obtained by direct measurement as a criterion to determine

...

They used the comparison between the pressure derivatives of the

**second**-**order****elastic constants**calculated from the uniaxial stress measurements with thepressure derivatives obtained by direct measurement as a criterion to determine

...

Page 140

third-order constant clll and indicated that the contribution of the fourth- order

constant c11 , , to the amplitudes of the third ... derivatives of the effective

.

third-order constant clll and indicated that the contribution of the fourth- order

constant c11 , , to the amplitudes of the third ... derivatives of the effective

**second**-**order elastic constants**to determine all six third-order elastic constants for copper.

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### Common terms and phrases

Alers aluminum Andreatch anisotropic Appl axis calculated compressive stress copper crystallographic orientation cubic crystals determine direction cosines displacement gradients displacements along 001 elastic moduli elastic wave propagation energy-flux vector equation of motion experimental germanium given by Eq hydrostatic pressure hydrostatic pressure longitudinal hydrostatic pressure transverse ideal orientation interaction isotropic solid linear elastic wave longitudinal wave longitudinal wave propagating materials mode transverse wave nonlinear elastic wave obtain Papadakis particle displacements phonons Phys plane wave pressure longitudinal wave pressure transverse wave pure mode longitudinal pure mode transverse quasitransverse waves rolling direction rolling plane second harmonic second-order elastic constants shear wave single crystals six third-order elastic stress along 001 stress along 110 Substituting Eqs symmetry test specimen texture third-order elastic constants Thurston and Brugger transducer transverse wave ultrasonic beam ultrasonic pulse uniaxial stress values wave along 100 wave normal wave speeds wave velocity Young's modulus