## Treatise on Materials Science and Technology, Volume 1 |

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Page 121

This implies that an elastic wave traveling through the composite will suffer

dispersion in most of the

larger than ... Only the wave traveling in the z

dispersion .

This implies that an elastic wave traveling through the composite will suffer

dispersion in most of the

**directions**except , of course , if the wavelength is muchlarger than ... Only the wave traveling in the z

**direction**will be free fromdispersion .

Page 128

In the present case , to allow for the transition from a discrete lattice to a

continuum in z

different

as the ...

In the present case , to allow for the transition from a discrete lattice to a

continuum in z

**direction**, we allow kz to ... are related to the sound velocities indifferent

**directions**and can be used to define a characteristic temperature knownas the ...

Page 139

The above equations have particularly simple forms in the symmetry

and provide convenient

give here explicit expressions for the frequency and the group velocity as a

function ...

The above equations have particularly simple forms in the symmetry

**directions**and provide convenient

**directions**for the dispersion measurements . We shallgive here explicit expressions for the frequency and the group velocity as a

function ...

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addition alloys analysis angle applied approach associated assumed atoms average becomes bond boundary calculated complex composite concentration consider constants contribution crystal curvature curve decrease defined dependence deposition determined developed direction discussed displacement distance distribution dynamical effect elastic electron elements energy equal equation exist experimental fibers force fracture function given gives grain grain boundaries Group growth growth path illustrated increase indicate interaction interface internal friction interstitial iron laminate lattice layer length material matrix measured mechanism metal microstructural molecules nitrogen normal nucleation observed obtained occur oxygen particles peak phase plane position possible potential present produce properties region reinforcing relaxation respectively shown in Fig shows single Snoek peak solid solution strain strength stress structure substitutional surface Table temperature tungsten unit values volume waves