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

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Page 82

Longitudinal Wave Harmonic Generation If we attempt to propagate a pure mode

longitudinal wave only, then we have u = u(a,t), v = w = 0 (195) and the three

...

Longitudinal Wave Harmonic Generation If we attempt to propagate a pure mode

longitudinal wave only, then we have u = u(a,t), v = w = 0 (195) and the three

**equations of motion**Eqs. (194) reduce to p0u-au^ = Puauaa. (196) Hence we see...

Page 92

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

and wc and therefore we may use the reduced

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 113

In particular, they were the first to derive the first component of the general

gradients, which we have reproduced in Eq. (325). Using this

they ...

In particular, they were the first to derive the first component of the general

**equations of motion**for a cubic crystal, to terms quadratic in the displacementgradients, which we have reproduced in Eq. (325). Using this

**equation of motion**they ...

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