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

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Page 34

Deviation of energy-flux vectors from wave normals for quasitransverse waves v3

for aluminum [after Hinton and Green (45)]. normal. It can readily be seen from

Fig. 9 that only at the corners of the standard triangle are the modes of wave

propagation purely longitudinal with no energy-flux deviation from the wave

normal. Figure 10 shows the deviations associated with the quasitransverse

wave v2. At the [100] and [1 10] corners

propagated and there ...

Deviation of energy-flux vectors from wave normals for quasitransverse waves v3

for aluminum [after Hinton and Green (45)]. normal. It can readily be seen from

Fig. 9 that only at the corners of the standard triangle are the modes of wave

propagation purely longitudinal with no energy-flux deviation from the wave

normal. Figure 10 shows the deviations associated with the quasitransverse

wave v2. At the [100] and [1 10] corners

**pure**-**mode transverse**waves arepropagated and there ...

Page 51

Finally, in order to remain in the linear elastic regime the electrical power applied

to the transducer should not be increased beyond the level required to establish

an acceptable pulse train in the test specimen. If we rearrange Eqs. (60) we may

write them in the form k + 2fi = pvl2, n = pv22, (159) where p is the density and, as

was shown in Chapter II, Section III, vl and v2 are the wave speeds associated

with pure mode longitudinal and

...

Finally, in order to remain in the linear elastic regime the electrical power applied

to the transducer should not be increased beyond the level required to establish

an acceptable pulse train in the test specimen. If we rearrange Eqs. (60) we may

write them in the form k + 2fi = pvl2, n = pv22, (159) where p is the density and, as

was shown in Chapter II, Section III, vl and v2 are the wave speeds associated

with pure mode longitudinal and

**pure mode transverse**wave propagation along...

Page 84

Longitudinal Wave Generation by Transverse Wave Let us now return to the

equations of motion Eqs. (194) and attempt to propagate a

wave only. Assuming particle displacements in the v direction we have, v = v(a,t),

u = w = 0 (215) and the three equations of motion reduce to 0 = y(vavaa), (216)

p0v-f1vaa = 0. (217) Even though Eq. (217) is the linear elastic equation of

motion for a

pure mode ...

Longitudinal Wave Generation by Transverse Wave Let us now return to the

equations of motion Eqs. (194) and attempt to propagate a

**pure mode transverse**wave only. Assuming particle displacements in the v direction we have, v = v(a,t),

u = w = 0 (215) and the three equations of motion reduce to 0 = y(vavaa), (216)

p0v-f1vaa = 0. (217) Even though Eq. (217) is the linear elastic equation of

motion for a

**pure mode transverse**wave, Eq. (216) is not true and hence a singlepure mode ...

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