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

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Page 250

GLOBAL

it one or more

categories : topological and metric ( Table II ) . A

GLOBAL

**PROPERTIES**Each of the features listed in Table I has associated withit one or more

**properties**. These geometric**properties**may be classified into twocategories : topological and metric ( Table II ) . A

**property**of a geometric feature ...Page 251

TABLE II SUMMARY OF GEOMETRIC

FOR THE FEATURES LISTED IN TABLE I . Metric

Designation ...

TABLE II SUMMARY OF GEOMETRIC

**PROPERTIES**THAT MAY BE DEFINEDFOR THE FEATURES LISTED IN TABLE I . Metric

**properties**Topological**properties**Extensive Average Feature**Property**Designation**Property**Designation ...

Page 252

The integral of the Gaussian curvature , called the integral curvature , may be

shown to be simply related to the topological

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 , providedthe 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