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

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Page 97

In particular, if we attempt to propagate a pure mode

(280) reduce to the form of Eq. (196) given by p0u - auaa = Puauaa (281) with a

perturbation solution after one iteration given by Eq. (207) as (kA)2B u(a,t) ...

In particular, if we attempt to propagate a pure mode

**longitudinal wave**only Eqs.(280) reduce to the form of Eq. (196) given by p0u - auaa = Puauaa (281) with a

perturbation solution after one iteration given by Eq. (207) as (kA)2B u(a,t) ...

Page 139

In 1968, Peters and Breazeale (250) used an ultrasonic pulse overlap technique

to measure the amplitude of the third harmonic of an initially sinusoidal

agreement with ...

In 1968, Peters and Breazeale (250) used an ultrasonic pulse overlap technique

to measure the amplitude of the third harmonic of an initially sinusoidal

**longitudinal wave**propagating in the [100] direction of a copper crystal. Inagreement 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