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

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Page 11

For a pure transverse mode the energy flux will deviate from the wave normal

unless, as pointed out by Waterman (22), the propagation direction is a twofold,

fourfold, or sixfold

For a pure transverse mode the energy flux will deviate from the wave normal

unless, as pointed out by Waterman (22), the propagation direction is a twofold,

fourfold, or sixfold

**symmetry**axis, or normal to a plane of reflection**symmetry**.Page 70

The

direction would tend to indicate a (100) [011] texture or possibly a fortuitous

tetragonal degeneracy of the orthorhombic

The

**symmetry**about 45° in the rolling plane with the maximum velocity in the 45°direction would tend to indicate a (100) [011] texture or possibly a fortuitous

tetragonal degeneracy of the orthorhombic

**symmetry**with the tetragonal "basal ...Page 115

In 1964, Ghate (157) gave a complete list of fourth-order elastic constants for the

triclinic crystal system and used

eleven independent fourth-order elastic constants for a crystal with full cubic ...

In 1964, Ghate (157) gave a complete list of fourth-order elastic constants for the

triclinic crystal system and used

**symmetry**arguments to show that there are onlyeleven independent fourth-order elastic constants for a crystal with full cubic ...

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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