Treatise on Materials Science and Technology, Volume 1 |
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Page 67
However , unlike the circular cylinder which exhibits a constant curvature at any
point of its surface , the square cylinder exhibits a zero curvature along its faces
and infinite curvature at its corners . The use of Eq . ( 72 ) on a point - topoint
basis ...
However , unlike the circular cylinder which exhibits a constant curvature at any
point of its surface , the square cylinder exhibits a zero curvature along its faces
and infinite curvature at its corners . The use of Eq . ( 72 ) on a point - topoint
basis ...
Page 251
The total curvature of surface is an additional property that satisfies these
requirements . [ For a detailed description of curvature , see DeHoff , ( 1967 ,
1968 ) and Cahn , ( 1967a ) . ] The local curvature of an arbitrarily curved surface
is defined ...
The total curvature of surface is an additional property that satisfies these
requirements . [ For a detailed description of curvature , see DeHoff , ( 1967 ,
1968 ) and Cahn , ( 1967a ) . ] The local curvature of an arbitrarily curved surface
is defined ...
Page 252
The integral of the Gaussian curvature , called the integral curvature , may be
shown to be simply related to the topological properties of the surface , provided
the surface is smooth and closed : KdS = 41 ( Ny - Gv ) . JSV where Ny is the ...
The integral of the Gaussian curvature , called the integral curvature , may be
shown to be simply related to the topological properties of the surface , provided
the surface is smooth and closed : KdS = 41 ( Ny - Gv ) . JSV where Ny is the ...
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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