Treatise on Materials Science and Technology, Volume 1 |
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Page 122
Thus , we can restrict the force constants to few near neighbors . In practice , one
may have to include the effect of several neighbors because the elastic
disturbances in the matrix may extend quite far . However , the number of
neighbors to be ...
Thus , we can restrict the force constants to few near neighbors . In practice , one
may have to include the effect of several neighbors because the elastic
disturbances in the matrix may extend quite far . However , the number of
neighbors to be ...
Page 132
Equating the coefficients of k ; ? in the corresponding elements of the matrices D (
k ) and A ( k ) , we get the following relations between the force constants and the
elastic constants A + 2D = ( 11 B + 2D = 266 E = C44 F + 2G = C44 ( 50 ) H ...
Equating the coefficients of k ; ? in the corresponding elements of the matrices D (
k ) and A ( k ) , we get the following relations between the force constants and the
elastic constants A + 2D = ( 11 B + 2D = 266 E = C44 F + 2G = C44 ( 50 ) H ...
Page 144
First , let us note that the matrix DP is exactly similar to the dynamical matrix of a
two - dimensional square lattice of lattice constant equal to a with nearest and
next nearest neighbor interactions given by the following force constant matrices
...
First , let us note that the matrix DP is exactly similar to the dynamical matrix of a
two - dimensional square lattice of lattice constant equal to a with nearest and
next nearest neighbor interactions given by the following force constant matrices
...
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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
Bibliographic information
| Title | Treatise on Materials Science and Technology, Volume 1 Treatise on Materials Science and Technology, ScienceDirect (Online service) |
| Editor | Herbert Herman |
| Publisher | Academic Press, 1972 |
| Original from | the University of Michigan |
| Digitized | 29 Nov 2007 |
| Export Citation | BiBTeX EndNote RefMan |