## 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

sound velocity stress derivatives.

small amplitude waves in a homogeneously deformed crystal and expressed

their results in terms of the directly measured quantity p0 W2 and its derivative

under an ...

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 fromsound velocity stress derivatives.

**Thurston and Brugger**solved the equations ofsmall amplitude waves in a homogeneously deformed crystal and expressed

their results in terms of the directly measured quantity p0 W2 and its derivative

under an ...

Page 123

In all of his expressions Chang used Brugger's definition of elastic constants, the

density in the unstrained state, and distinguished between adiabatic and

isothermal elastic constants. However, his velocities refer to the stressed state

and are not equivalent to the "natural" velocity of

1965, Breazeale and Ford (150) pointed out the similarity between the nonlinear

differential equation describing the propagation of a finite amplitude longitudinal

pure mode ...

In all of his expressions Chang used Brugger's definition of elastic constants, the

density in the unstrained state, and distinguished between adiabatic and

isothermal elastic constants. However, his velocities refer to the stressed state

and are not equivalent to the "natural" velocity of

**Thurston and Brugger**. Finally in1965, Breazeale and Ford (150) pointed out the similarity between the nonlinear

differential equation describing the propagation of a finite amplitude longitudinal

pure mode ...

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.

They determined c44 from shear wave measurements along the [100] direction

and c456 was determined from the changes in the transit time, due to a uniaxial

stress along [01 1], of shear waves propagating along [100] with polarizations

parallel and ...

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.

They determined c44 from shear wave measurements along the [100] direction

and c456 was determined from the changes in the transit time, due to a uniaxial

stress along [01 1], of shear waves propagating along [100] with polarizations

parallel and ...

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### 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