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

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Page 62

For example, the development of the recrystallized texture of

from cold-rolled

Young's modulus at 45 deg develop into the large maximum at this same angle ...

For example, the development of the recrystallized texture of

**copper**(Fig. 25)from cold-rolled

**copper**(Fig. 24) could be easily followed by observing the dip inYoung's modulus at 45 deg develop into the large maximum at this same angle ...

Page 65

0.30 15° 30° 45° 60° 75° PROPAGATION DIRECTION RELATIVE TO ONE

ROLLING DIRECTION 90° Fig. 29. Velocity for zeroth-order shear waves in rolled

0.30 15° 30° 45° 60° 75° PROPAGATION DIRECTION RELATIVE TO ONE

ROLLING DIRECTION 90° Fig. 29. Velocity for zeroth-order shear waves in rolled

**copper**plate as a function of propagation direction relative to the rolling direction.Page 66

In 1967, Alers and Liu (116) made measurements of the anisotropy in Young's

modulus produced in

temperature to study the dependence of the texture on rolling temperature.

In 1967, Alers and Liu (116) made measurements of the anisotropy in Young's

modulus produced in

**copper**by rolling 95% reduction in thickness below roomtemperature to study the dependence of the texture on rolling temperature.

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### Common terms and phrases

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