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

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Page 8

These kik components are substituted into Eq. (30) along with the density p and

Eq. (30) is solved for the three plane

...

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 three Eqs. (32) and...

Page 51

Moreover, since our previously derived formulas are based on the assumption of

linear elastic wave propagation in an ... vl and v2 are the

associated with pure mode longitudinal and pure mode transverse wave

propagation ...

Moreover, since our previously derived formulas are based on the assumption of

linear elastic wave propagation in an ... vl and v2 are the

**wave speeds**associated with pure mode longitudinal and pure mode transverse wave

propagation ...

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 ...

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 ...

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Alers aluminum Andreatch anisotropic Appl axis calculated compressive stress copper crystallographic orientation cubic crystals determine direction cosines displacement gradients displacements along 001 elastic moduli elastic wave propagation energy-flux vector equation of motion experimental germanium given by Eq hydrostatic pressure hydrostatic pressure longitudinal hydrostatic pressure transverse ideal orientation interaction isotropic solid linear elastic wave longitudinal wave longitudinal wave propagating materials mode transverse wave nonlinear elastic wave obtain Papadakis particle displacements phonons Phys plane wave pressure longitudinal wave pressure transverse wave pure mode longitudinal pure mode transverse quasitransverse waves rolling direction rolling plane second harmonic second-order elastic constants shear wave single crystals six third-order elastic stress along 001 stress along 110 Substituting Eqs symmetry test specimen texture third-order elastic constants Thurston and Brugger transducer transverse wave ultrasonic beam ultrasonic pulse uniaxial stress values wave along 100 wave normal wave speeds wave velocity Young's modulus