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

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Page 138

Angular dependence of the

in a tetragonal composite. The values of \i\/n are for (a) 0.25, (b) 0.5, and (c) 1.0.

The angles are measured from the x axis. and tan09 = ?B (69) The

...

Angular dependence of the

**group velocities**of the elastic waves in the xy planein a tetragonal composite. The values of \i\/n are for (a) 0.25, (b) 0.5, and (c) 1.0.

The angles are measured from the x axis. and tan09 = ?B (69) The

**group velocity**...

Page 141

Dispersion relations in <1 10>. Fig. 7.

traveling in <100> direction in a tetragonal composite. I HI / TT Fig. 9.

141.

Dispersion relations in <1 10>. Fig. 7.

**Group velocities**of the three elastic wavestraveling in <100> direction in a tetragonal composite. I HI / TT Fig. 9.

**Group****velocities**of the. ELASTIC WAVE PROPAGATION IN COMPOSITE MATERIALS141.

Page 143

assumption of translational symmetry is reasonable and, therefore, the

the Fibers As has been remarked earlier, we can get useful information about the

...

assumption of translational symmetry is reasonable and, therefore, the

**group****velocity**should become quite small if not zero for k = n. C. Bonding Strength ofthe Fibers As has been remarked earlier, we can get useful information about the

...

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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