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

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Page 49

By using the general procedure outlined here, the crystallographic orientation of

single crystals may be

use of such a technique is that the accuracy of velocity measurement be sufficient

.

By using the general procedure outlined here, the crystallographic orientation of

single crystals may be

**determined**ultrasonically. The major requirement for theuse of such a technique is that the accuracy of velocity measurement be sufficient

.

Page 135

the "natural" wave speeds and the third-order elastic constants to experimentally

1965, Hall (275) used an ultrasonic pulse technique and the formalism of ...

the "natural" wave speeds and the third-order elastic constants to experimentally

**determine**the six third-order moduli of silicon and germanium single crystals. In1965, Hall (275) used an ultrasonic pulse technique and the formalism of ...

Page 140

Gerlich (251) used the fourteen different combinations of ultrasonic propagation

modes and applied stresses as described by Thurston and Brugger (144) to

experimentally

barium ...

Gerlich (251) used the fourteen different combinations of ultrasonic propagation

modes and applied stresses as described by Thurston and Brugger (144) to

experimentally

**determine**the complete set of six third-order elastic moduli ofbarium ...

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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