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

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Page 69

In the time At , this

segment ef is what ab would have become if the surface grew as a cylinder

instead of translating in the Z direction at constant velocity V . It is apparent that

cd ...

In the time At , this

**becomes**segment cd . Thus AA = cd - ab and AV = abcd . Thesegment ef is what ab would have become if the surface grew as a cylinder

instead of translating in the Z direction at constant velocity V . It is apparent that

cd ...

Page 71

Of course , it can be properly argued that 8 = 0 at the instability limit ; however , to

observe any physical manifestations of instability Š > 0 and the second term in Eq

. ( 77 )

Of course , it can be properly argued that 8 = 0 at the instability limit ; however , to

observe any physical manifestations of instability Š > 0 and the second term in Eq

. ( 77 )

**becomes**significant . Perhaps the most important consequence of this ...Page 113

Naturally when the volume fraction of the reinforcement

many of our assumptions will no longer hold . Our discussion above applies to

the condition of initiation of a collapse nucleus . Once such a nucleus is

established , it ...

Naturally when the volume fraction of the reinforcement

**becomes**very smallmany of our assumptions will no longer hold . Our discussion above applies to

the condition of initiation of a collapse nucleus . Once such a nucleus is

established , it ...

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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