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

### From inside the book

Results 1-3 of 3

Page 30

possess components of particle displacement both parallel and perpendicular to

the wave normal. However, one of these components is usually much larger than

the other; the wave with a large parallel component is called

the wave with a large perpendicular component is called

addition, for all three waves, the energy flux vector deviates from the wave normal

. Schematic diagrams illustrating

possess components of particle displacement both parallel and perpendicular to

the wave normal. However, one of these components is usually much larger than

the other; the wave with a large parallel component is called

**quasi**- longitudinal;the wave with a large perpendicular component is called

**quasitransverse**. Inaddition, for all three waves, the energy flux vector deviates from the wave normal

. Schematic diagrams illustrating

**quasilongitudinal**and**quasitransverse wave**...Page 31

... published by Johari and Thomas (66) and additional information can be found

in their first three references. The wave speeds »,, v2, and v3 for the

shown in Figs. 6 to 8, where the contours represent loci of equal speed within the

standard stereographic triangle. It can be seen that in agreement with our

previous calculations the two

and [111] corners.

... published by Johari and Thomas (66) and additional information can be found

in their first three references. The wave speeds »,, v2, and v3 for the

**quasilongitudinal**and the two**quasi**- transverse modes for aluminum crystals areshown in Figs. 6 to 8, where the contours represent loci of equal speed within the

standard stereographic triangle. It can be seen that in agreement with our

previous calculations the two

**transverse waves**have identical speeds at the [100]and [111] corners.

Page 45

... value throughout the standard stereographic triangle, Fig. 18. The grid shown

in Fig. 1 8 consists of two sets of arcs of stereographic circles drawn about the [

010] and [001] poles and bounded by the standard triangle [100]-[110]-[111].

Assume that experimental measurements of ultrasonic wave speeds along a

selected direction in an aluminum crystal yield the values 6.470 x 105 cm/sec for

the quasilongitudinal wave v1, 3.023 x 105 cm/sec for the slow

... value throughout the standard stereographic triangle, Fig. 18. The grid shown

in Fig. 1 8 consists of two sets of arcs of stereographic circles drawn about the [

010] and [001] poles and bounded by the standard triangle [100]-[110]-[111].

Assume that experimental measurements of ultrasonic wave speeds along a

selected direction in an aluminum crystal yield the values 6.470 x 105 cm/sec for

the quasilongitudinal wave v1, 3.023 x 105 cm/sec for the slow

**quasi**-**transverse****wave**v2, ...### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### 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