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

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Page 35

These authors propagated 25 MHz

dimensions 16 mm along the x axis and 32 mm along the y and z axes. The light

beam was directed along the x axis in all cases. Figure 12 shows the

These authors propagated 25 MHz

**ultrasonic beams**in a quartz crystal withdimensions 16 mm along the x axis and 32 mm along the y and z axes. The light

beam was directed along the x axis in all cases. Figure 12 shows the

**ultrasonic****beam**...Page 142

Lee (267) used an ultrasonic pulse-echo method to measure the pressure

dependence of the second-order elastic moduli ... Dunham and Huntington (186)

studied the interaction of two nonlinear

ultrasonic ...

Lee (267) used an ultrasonic pulse-echo method to measure the pressure

dependence of the second-order elastic moduli ... Dunham and Huntington (186)

studied the interaction of two nonlinear

**ultrasonic beams**to produce a thirdultrasonic ...

Page 147

C. Diffraction Spread In all real cases the elastic energy emanating from an

diverges as it progresses through a specimen. This energy should be conf1ned

to a

C. Diffraction Spread In all real cases the elastic energy emanating from an

**ultrasonic**transducer does not remain confined in a parallel sided**beam**, butdiverges as it progresses through a specimen. This energy should be conf1ned

to a

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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