Treatise on Materials Science and Technology, Volume 1 |
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Page 127
... not contribute independently to the dynamical matrix . Only ten independent
combinations of the above force constants contribute to the dynamical matrix . We
have therefore ten independent parameters in the present model . V . Dynamical
...
... not contribute independently to the dynamical matrix . Only ten independent
combinations of the above force constants contribute to the dynamical matrix . We
have therefore ten independent parameters in the present model . V . Dynamical
...
Page 133
Wave Propagation in a General Direction A knowledge of the dynamical matrix is
sufficient to define all the dynamical properties of the composite . The three
eigenvalues of the dynamical matrix for a value of k give the frequencies of the
three ...
Wave Propagation in a General Direction A knowledge of the dynamical matrix is
sufficient to define all the dynamical properties of the composite . The three
eigenvalues of the dynamical matrix for a value of k give the frequencies of the
three ...
Page 159
For the calculation of the dynamical matrix we have assumed only nearest
neighbor 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 ...
For the calculation of the dynamical matrix we have assumed only nearest
neighbor 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