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

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Page 122

He derived formulas for the pressure derivative of p0 W2 evaluated at P = 0 for

seven Laue groups for small amplitude wave propagation in these directions for

crystals subjected simultaneously to hydrostatic pressure or

He derived formulas for the pressure derivative of p0 W2 evaluated at P = 0 for

seven Laue groups for small amplitude wave propagation in these directions for

crystals subjected simultaneously to hydrostatic pressure or

**uniaxial stress**.Page 137

They made 10 measurements under hydrostatic pressure and 24 measurements

under

- order elastic moduli with 20 cross-checks. Schreiber and Anderson (226) used ...

They made 10 measurements under hydrostatic pressure and 24 measurements

under

**uniaxial stress**, which provided sufficient data to calculate all 14 of the third- order elastic moduli with 20 cross-checks. Schreiber and Anderson (226) used ...

Page 141

The experimental results for the 22 cases where the calcite crystal was subjected

to

applied

...

The experimental results for the 22 cases where the calcite crystal was subjected

to

**uniaxial stress**yielded linear relations between "natural" wave velocity andapplied

**uniaxial stress**. Similarly, a linear dependence of "natural" wave velocity...

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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