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

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Results 1-3 of 31

Page 8

The general method of practical solution for a given crystalline material of density

p and second-order elastic constants cy is to solve Eqs. (28) and (29) for the Ajfc

components for the wave normal (crystallographic direction cosines /, m, n) of

interest. These kik components are substituted into Eq. (30) along with the

density p and Eq. (30) is solved for the three plane

each of these

Eqs. (32) ...

The general method of practical solution for a given crystalline material of density

p and second-order elastic constants cy is to solve Eqs. (28) and (29) for the Ajfc

components for the wave normal (crystallographic direction cosines /, m, n) of

interest. These kik components are substituted into Eq. (30) along with the

density p and Eq. (30) is solved for the three plane

**wave speeds**Vl,v2,v3. Next,each of these

**wave speeds**, in turn, is substituted along with ktk and p in all threeEqs. (32) ...

Page 53

Using a cold-rolled steel plate with a shear wave propagating in the direction

transverse to the rolling direction, they observed a slower shear

when the particle displacement was perpendicular to the rolling direction than

when the particle displacement was parallel to the rolling direction. They

obtained similar results using a forged aluminum block, in that the slower shear

when the particle ...

Using a cold-rolled steel plate with a shear wave propagating in the direction

transverse to the rolling direction, they observed a slower shear

**wave velocity**when the particle displacement was perpendicular to the rolling direction than

when the particle displacement was parallel to the rolling direction. They

obtained similar results using a forged aluminum block, in that the slower shear

**wave velocity**for propagation transverse to the forging direction was measuredwhen the particle ...

Page 131

Finally, if we substitute Eq. (267) into Eq. (381) and rearrange we have V-tc —

Vib ^ J_ VT0 ~ 8/i 2(4/x + h), (382) which gives the linear relation between the

ultrasonic pulse technique to measure the pressure variation of the elastic

constants of sodium. Voronov and Vereshchagin (196, 197) in 1961 summarized

much of the work on the influence of hydrostatic pressure on the elastic

properties of metals and ...

Finally, if we substitute Eq. (267) into Eq. (381) and rearrange we have V-tc —

Vib ^ J_ VT0 ~ 8/i 2(4/x + h), (382) which gives the linear relation between the

**wave speed**difference and the applied stress. In 1960, Daniels (195) used anultrasonic pulse technique to measure the pressure variation of the elastic

constants of sodium. Voronov and Vereshchagin (196, 197) in 1961 summarized

much of the work on the influence of hydrostatic pressure on the elastic

properties of metals and ...

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