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

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Page 131

Thus, using the method of long waves, we shall expand the sine and cosine

functions in Eqs. (32)-(37), keeping only up to second-order terms and compare

the resulting matrix with the Green-Christoffel matrix for a solid with

Thus, using the method of long waves, we shall expand the sine and cosine

functions in Eqs. (32)-(37), keeping only up to second-order terms and compare

the resulting matrix with the Green-Christoffel matrix for a solid with

**tetragonal**...Page 240

and if we denote [e,'— as A(AŁ) we have A(AŁ) = (8) where A(AŁ) is defined,

therefore, as the change in the

the change in the

for ...

and if we denote [e,'— as A(AŁ) we have A(AŁ) = (8) where A(AŁ) is defined,

therefore, as the change in the

**tetragonal**strain due to the s-i pair. Calculations ofthe change in the

**tetragonal**strain due to the s-i pair [i.e., A(AŁ)] utilizing Eq. (8)for ...

Page 243

The magnitude of the effect of a s-i interaction on the

interstitial was estimated for Fe-Mn-N and Ta-Nb-O. In both cases the strain

associated with the binding energy of the s-i defect was found to be a maximum

of about ...

The magnitude of the effect of a s-i interaction on the

**tetragonal**strain of theinterstitial was estimated for Fe-Mn-N and Ta-Nb-O. In both cases the strain

associated with the binding energy of the s-i defect was found to be a maximum

of about ...

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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