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

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Page 88

The increased

by integrating the

overstressed region of the reinforcing element . It is now convenient to consider

this ...

The increased

**probability**of fracture in the overstressed region can be calculatedby integrating the

**probabilities**of fracture in each element of area of theoverstressed region of the reinforcing element . It is now convenient to consider

this ...

Page 90

( 8 ) At an applied stress o or less the

of length d , and width w , having a flaw density distribution & ( o ) = Com per unit

surface area is Qo ) = 1 – exp ( - woč ( o ) ) = 1 – exp ( - s ) where s has been ...

( 8 ) At an applied stress o or less the

**probability**Q ( o ) of fracture of an elementof length d , and width w , having a flaw density distribution & ( o ) = Com per unit

surface area is Qo ) = 1 – exp ( - woč ( o ) ) = 1 – exp ( - s ) where s has been ...

Page 110

Hence , any fracture condition based on a high

given number of adjacent fractures , as has been advocated by Zweben ( 1969 )

and by Zweben and Rosen ( 1970 ) , can be only of limited utility in a narrow

range of ...

Hence , any fracture condition based on a high

**probability**of encountering agiven number of adjacent fractures , as has been advocated by Zweben ( 1969 )

and by Zweben and Rosen ( 1970 ) , can be only of limited utility in a narrow

range of ...

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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