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 Young's modulus
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 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 ...
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 Young's modulus in an
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 an
anisotropic 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