## 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

...

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-to- point basis...

Page 251

The total

requirements. [For a detailed description of

and Cahn, (1967a).] The local

by two ...

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 surface is definedby two ...

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 : where Ny is the number of separate parts of

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 : where Ny is the number of separate parts of

the ...

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activation energy alloys angle annealing Argon Arsenault axis binding energy bond calculated carbon chemical vapor deposition crystal curvature curve CVD tungsten Debye decrease deposition determined dipole displacement distribution effect elastic constants elastic waves electron equation equilibrium experimental Fe-Mn-N Fe-N fibers force constants fracture free energy function geometric given grain boundaries group velocities growth path envelope Hasson hoop stress impingement increase interface internal friction interstitial ions kcal/mole kinetics laminate lattice layer manganese measured mechanism metal microstructural change molecules neighbors niobium nitrogen nitrogen atoms nucleation obtained oxygen parameters particles peak broadening peak height phase potential propagation reinforcing elements relaxation processes rhenium s-i interaction s-i pair scavenging Section shear shown in Fig Snoek peak solid specimen structure substitutional addition substitutional solute substrate surface tensile ternary alloys tetragonal titanium transverse wave triple line tungsten values vanadium volume fraction xy plane yield stress zirconium