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

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Page 67

However , unlike the circular cylinder which exhibits a constant

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 .Page 251

The total

The total

**curvature**of surface is an additional property that satisfies these requirements . [ For a detailed description of**curvature**, see De Hoff , ( 1967 , 1968 ) and Cahn , ( 1967a ) . ] The local**curvature**of an arbitrarily curved ...Page 252

The integral of the Gaussian

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 : J , ка : KdS = 41 ( Ny - Gy ) .### What people are saying - Write a review

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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 example exist experimental fibers force fracture function given gives grain grain boundaries Group growth growth path illustrated increase indicates 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