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

### From inside the book

Results 1-3 of 22

Page 127

... not contribute independently to the

combinations of the above force constants contribute to the

have therefore ten independent parameters in the present model . V .

...

... not contribute independently to the

**dynamical**matrix . Only ten independentcombinations of the above force constants contribute to the

**dynamical**matrix . Wehave therefore ten independent parameters in the present model . V .

**Dynamical**...

Page 133

Wave Propagation in a General Direction A knowledge of the

sufficient to define all the

eigenvalues of the

three ...

Wave Propagation in a General Direction A knowledge of the

**dynamical**matrix issufficient to define all the

**dynamical**properties of the composite . The threeeigenvalues of the

**dynamical**matrix for a value of k give the frequencies of thethree ...

Page 159

For the calculation of the

neighbor interactions between the fibers . The coordinates of the objects

contributing to the

TABLE III ...

For the calculation of the

**dynamical**matrix we have assumed only nearestneighbor interactions between the fibers . The coordinates of the objects

contributing to the

**dynamical**matrix are given in Table III . In the present Lion .TABLE III ...

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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