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

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Page 10

Using

term in

the energy flow into the volume t through the surface S. Therefore, theyth ...

Using

**Eq**. (45),**Eq**. (37) may be rewritten as ... Differentiating the volume integralterm in

**Eq**. (47) we have ... Actually the expression**given**in**Eq**. (51) representsthe energy flow into the volume t through the surface S. Therefore, theyth ...

Page 92

Again in this case the only nonvanishing displacement gradients are ua , u^, vb ,

and wc and therefore we may use the reduced equation of motion

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

Again in this case the only nonvanishing displacement gradients are ua , u^, vb ,

and wc 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

If we rearrange

form ...

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

Eqs. (312) reduce to the form of

**Eq**. (196)**given**by p0 u - auaa = Pua uaa . (315)If we rearrange

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

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