## Ultrasonic Investigation of Mechanical Properties |

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Page 92

Again in this case the only nonvanishing displacement gradients are u, u, , v, and

we and therefore we may use the reduced equation of motion

as in the previous case. If we substitute the expressions from Eqs. (249), ...

Again in this case the only nonvanishing displacement gradients are u, u, , v, and

we and therefore we may use the reduced equation of motion

**given by Eq**. (245)as in the previous case. If we substitute the expressions from Eqs. (249), ...

Page 105

Nevertheless, if we attempt to propagate a pure mode longitudinal wave only,

Eqs. (312) reduce to the form of

we rearrange

...

Nevertheless, if we attempt to propagate a pure mode longitudinal wave only,

Eqs. (312) reduce to the form of

**Eq**. (196)**given**by poli - Ouaa = Augusa. (315) Ifwe rearrange

**Eq**. (315) and use Eqs. (285), we may rewrite**Eq**. (312) in the form...

Page 148

In order to introduce the attenuation we shall assume that the wave vector k is a

complex quantity

where the phase velocity is

) ...

In order to introduce the attenuation we shall assume that the wave vector k is a

complex quantity

**given**by k = ko – ix (390) where both ko and o are real andwhere the phase velocity is

**given**by "phase = 0/ko. (391) Substitution of**Eq**. (390) ...

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