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

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Page 53

Using a cold-rolled steel plate with a shear wave propagating in the direction

transverse to the

when the particle displacement was perpendicular to the

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 velocitywhen the particle displacement was perpendicular to the

**rolling direction**thanwhen ...

Page 69

33. Zeroth shear mode velocity as a function of propagation

extra both as-received (A.R. 50% cold-

temperatures (550°, 750°, 950°C). The symmetry about the

33. Zeroth shear mode velocity as a function of propagation

**direction**in Elinvar-extra both as-received (A.R. 50% cold-

**rolled**) and annealed at varioustemperatures (550°, 750°, 950°C). The symmetry about the

**direction**at 45° to the**rolling**...Page 70

0' 30° 60° 90° ANGLE BETWEEN PROPAGATION AND

Fig. 34. Zeroth shear mode velocity as a function of propagation direction in RMI

464 titanium a-/} alloy. The small (1%) anisotropy symmetric about the 45° ...

0' 30° 60° 90° ANGLE BETWEEN PROPAGATION AND

**ROLLING DIRECTIONS**Fig. 34. Zeroth shear mode velocity as a function of propagation direction in RMI

464 titanium a-/} alloy. The small (1%) anisotropy symmetric about the 45° ...

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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