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

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Page 282

global topological and metric properties of the system , and analyzes the

dynamics by applying

second is based upon the growth path envelope concept , and requires the

determination of ...

global topological and metric properties of the system , and analyzes the

dynamics by applying

**displacement**equations from integral geometry . Thesecond is based upon the growth path envelope concept , and requires the

determination of ...

Page 286

in the ad interfaces . Equations similar to those derived in Appendix A may be

written relating the

geometric properties of the structure . In deriving these equations , it is necessary

to assume ...

in the ad interfaces . Equations similar to those derived in Appendix A may be

written relating the

**displacement**of this triple line to changes in the totalgeometric properties of the structure . In deriving these equations , it is necessary

to assume ...

Page 287

THE CHANGE IN LINE LENGTH The length of the element dL before its

subtended by its normals , see Fig . B - 1b : dL = rdo After

length is dL + 8 ...

THE CHANGE IN LINE LENGTH The length of the element dL before its

**displacement**may be expressed in terms of its local curvature and the anglesubtended by its normals , see Fig . B - 1b : dL = rdo After

**displacement**, itslength is dL + 8 ...

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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