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

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Page 51

Moreover, since our previously derived formulas are based on the assumption of

linear elastic wave propagation in an ... vl and v2 are the wave speeds

associated with pure mode longitudinal and pure

propagation ...

Moreover, since our previously derived formulas are based on the assumption of

linear elastic wave propagation in an ... vl and v2 are the wave speeds

associated with pure mode longitudinal and pure

**mode transverse wave**propagation ...

Page 84

Due to this effect a discontinuity will appear in the wave such that the initially

sinusoidal nonlinear elastic wave goes over ... (217) Even though Eq. (217) is the

linear elastic equation of motion for a pure

not ...

Due to this effect a discontinuity will appear in the wave such that the initially

sinusoidal nonlinear elastic wave goes over ... (217) Even though Eq. (217) is the

linear elastic equation of motion for a pure

**mode transverse wave**, Eq. (216) isnot ...

Page 113

Using this equation of motion they derived expressions for the wave speeds as a

function of the second- and third-order ... He showed that when nonlinear terms

are taken into account, a pure

Using this equation of motion they derived expressions for the wave speeds as a

function of the second- and third-order ... He showed that when nonlinear terms

are taken into account, a pure

**mode transverse wave**cannot exist without the ...### What people are saying - Write a review

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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