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

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Page 101

To do this we consider an ideal continuous manufacturing process for reinforcing

elements , e . g . , glass ribbon or fiber in which the as - manufactured product

has very high

To do this we consider an ideal continuous manufacturing process for reinforcing

elements , e . g . , glass ribbon or fiber in which the as - manufactured product

has very high

**strength**with little variability . In keeping with our previous ...Page 102

0 , would be constant , the changes in element

elements , would come entirely from the exponent m , as Eq . ( 26 ) indicates .

Now for the

0 , would be constant , the changes in element

**strength**with length , in damagedelements , would come entirely from the exponent m , as Eq . ( 26 ) indicates .

Now for the

**strength**of the composite we take the result of the simple fracture ...Page 110

of the

decreases with increasing exponent m ( decreasing element variability ) . This

increase is partly due to the rise in the composite

the ...

of the

**strength**maximum , the length of the critical crack for fracture instabilitydecreases with increasing exponent m ( decreasing element variability ) . This

increase is partly due to the rise in the composite

**strength**with increasing m . Asthe ...

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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