## Treatise on materials science and technology, Volume 1 |

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Page 113

The energy due to the double bending of the lamellae can be calculated readily

by the well-known formula for bending slender

(1 - v2) (A-5) where Er is the Young's modulus of the reinforcement, and /=/r3/12 ...

The energy due to the double bending of the lamellae can be calculated readily

by the well-known formula for bending slender

**beams**and is AE2 = cEr /(A$)2/Z,/r(1 - v2) (A-5) where Er is the Young's modulus of the reinforcement, and /=/r3/12 ...

Page 117

The present model for a composite is "dispersive" for short f waves in the same

sense as the Born-von Karman model is for the electromagnetic waves (neutron

The present model for a composite is "dispersive" for short f waves in the same

sense as the Born-von Karman model is for the electromagnetic waves (neutron

**beams**, X rays). The limiting case of long waves is obtained by using Born's ...Page 172

For most angles of incidence the pl wave is polarized in a direction close to the

fiber axis (Figs. 13 and 23), and thus on traveling through a composite, the

original set of elastic waves will emerge as a highly collimated

less ...

For most angles of incidence the pl wave is polarized in a direction close to the

fiber axis (Figs. 13 and 23), and thus on traveling through a composite, the

original set of elastic waves will emerge as a highly collimated

**beam**of more orless ...

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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