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

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Page 114

the resonance

same direction leads to the appearance of new longitudinal waves with sum and

difference frequencies relative to the two initial waves. On the other hand, ...

the resonance

**interaction**of two nonlinear longitudinal waves propagating in thesame direction leads to the appearance of new longitudinal waves with sum and

difference frequencies relative to the two initial waves. On the other hand, ...

Page 115

(345) In 1963, Jones and Kobett (142) used nonlinear elasticity theory to

investigate the

isotropic solid. As we have seen, Goldberg (139) had already treated the

(345) In 1963, Jones and Kobett (142) used nonlinear elasticity theory to

investigate the

**interaction**between two intersecting waves propagating in anisotropic solid. As we have seen, Goldberg (139) had already treated the

**interaction**of a ...Page 134

The same year, Rollins, Taylor, and Todd (213) performed experiments using

specimens of fused silica, polycrystalline aluminum, and polycrystalline

magnesium in which they confirm certain three-phonon

associated with ...

The same year, Rollins, Taylor, and Todd (213) performed experiments using

specimens of fused silica, polycrystalline aluminum, and polycrystalline

magnesium in which they confirm certain three-phonon

**interaction**effectsassociated with ...

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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