## 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

At an applied stress a or less the

length S, and width w, having a flaw density distribution = Cam per unit surface

area is Q(p) = 1 - exp(->v<5£(ff)) = 1 - exp(-j) (8) where s has been introduced as

a ...

At an applied stress a or less the

**probability**Q(o) of fracture of an element oflength S, and width w, having a flaw density distribution = Cam per unit surface

area is Q(p) = 1 - exp(->v<5£(ff)) = 1 - exp(-j) (8) where s has been introduced as

a ...

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 m ...

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 m ...

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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