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

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Page 67

However , unlike the circular cylinder which exhibits a constant

point of its surface , the square cylinder exhibits a zero

and infinite

basis ...

However , unlike the circular cylinder which exhibits a constant

**curvature**at anypoint of its surface , the square cylinder exhibits a zero

**curvature**along its facesand infinite

**curvature**at its corners . The use of Eq . ( 72 ) on a point - topointbasis ...

Page 251

The total

requirements . [ For a detailed description of

1968 ) and Cahn , ( 1967a ) . ] The local

is defined ...

The total

**curvature**of surface is an additional property that satisfies theserequirements . [ For a detailed description of

**curvature**, see DeHoff , ( 1967 ,1968 ) and Cahn , ( 1967a ) . ] The local

**curvature**of an arbitrarily curved surfaceis defined ...

Page 252

The integral of the Gaussian

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 beshown 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