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

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Page 58

Alers and Liu (101) published a paper in which they examined the effect of

different averaging procedures on the calculated anisotropy of

in the rolling plane of rolled sheets in order to see if the angular variation of

Young's ...

Alers and Liu (101) published a paper in which they examined the effect of

different averaging procedures on the calculated anisotropy of

**Young's modulus**in the rolling plane of rolled sheets in order to see if the angular variation of

Young's ...

Page 61

The thin lines represent the calculated variation of

rolled Cu-22% Zn alloy in which a {1 10} <1 12> texture is assumed. The solid

line shows the observed modulus variation [after Alers and Liu (101)]. consistent

with ...

The thin lines represent the calculated variation of

**Young's modulus**of a cold-rolled Cu-22% Zn alloy in which a {1 10} <1 12> texture is assumed. The solid

line shows the observed modulus variation [after Alers and Liu (101)]. consistent

with ...

Page 62

However, the calculation of the angular variation of

anisotropic polycrystal is useful as a means of determining whether or not an

assumed ideal orientation is consistent with modulus measurements. Figure 24

shows ...

However, the calculation of the angular variation of

**Young's modulus**in ananisotropic polycrystal is useful as a means of determining whether or not an

assumed ideal orientation is consistent with modulus measurements. Figure 24

shows ...

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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