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

### From inside the book

Results 1-3 of 11

Page 118

The first of these was the thermodynamic definition of the higher-order elastic

constants as given by Brugger (145), and the second was a method presented by

...

The first of these was the thermodynamic definition of the higher-order elastic

constants as given by Brugger (145), and the second was a method presented by

**Thurston and Brugger**(144, 159) for obtaining third- order elastic constants from...

Page 123

However, his velocities refer to the stressed state and are not equivalent to the "

natural" velocity of

150) pointed out the similarity between the nonlinear differential equation ...

However, his velocities refer to the stressed state and are not equivalent to the "

natural" velocity of

**Thurston and Brugger**. Finally in 1965, Breazeale and Ford (150) pointed out the similarity between the nonlinear differential equation ...

Page 135

In 1965, Hall (275) used an ultrasonic pulse technique and the formalism of

second-order modulus c44 and the third-order modulus c456 of n- germanium.

In 1965, Hall (275) used an ultrasonic pulse technique and the formalism of

**Thurston and Brugger**(144) to determine the effect of doping with arsenic on thesecond-order modulus c44 and the third-order modulus c456 of n- germanium.

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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