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

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Page 122

Thus, we can restrict the force

may have to include the effect of several neighbors because the

disturbances in the matrix may extend quite far. However, the number of

neighbors to be ...

Thus, we can restrict the force

**constants**to few near neighbors. In practice, onemay have to include the effect of several neighbors because the

**elastic**disturbances in the matrix may extend quite far. However, the number of

neighbors to be ...

Page 132

Equating the coefficients of k2 in the corresponding elements of the matrices D(k)

and A(k), we get the following relations between the force constants and the

force ...

Equating the coefficients of k2 in the corresponding elements of the matrices D(k)

and A(k), we get the following relations between the force constants and the

**elastic constants**where the**elastic constants**are in units of {4na2 p)~l, and theforce ...

Page 169

Using the Set 1 for the

plotted in Fig. 25 using Eq. (95) with /k/ ->0. We notice from Fig. 25 that the

agreement between the calculated and experimental results for the p1 wave is

rather ...

Using the Set 1 for the

**elastic constants**(Section X), and p = 2, E(9k) has beenplotted in Fig. 25 using Eq. (95) with /k/ ->0. We notice from Fig. 25 that the

agreement between the calculated and experimental results for the p1 wave is

rather ...

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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