## Treatise on Materials Science and Technology, Volume 2 |

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Page 44

C .

standard procedure for solving the nonlinear integrodifferential equation ( 4 . 39 )

exists . A

C .

**Solution**of the Governing Equation 1 . DISPLACEMENT FUNCTION Nostandard procedure for solving the nonlinear integrodifferential equation ( 4 . 39 )

exists . A

**solution**was “ discovered , ” using an iterative method in which it was ...Page 53

An exact ( van der Merwe , 1963b ) though complicated

concerning overgrowths of intermediate thickness is presented using the rather

unrealistic parabolic model ( B . 2 ) . In Section III , F , 5 it was shown how the ...

An exact ( van der Merwe , 1963b ) though complicated

**solution**of the problemconcerning overgrowths of intermediate thickness is presented using the rather

unrealistic parabolic model ( B . 2 ) . In Section III , F , 5 it was shown how the ...

Page 98

First Approximation ( C . ) This approach uses the exact

namely , yo = { + - 1 arctan { [ 1 + B - 2 ) % + B - ? ] tan { X } of the simple model as

an approximation of the

the ...

First Approximation ( C . ) This approach uses the exact

**solution**( 4 . 42 ) ,namely , yo = { + - 1 arctan { [ 1 + B - 2 ) % + B - ? ] tan { X } of the simple model as

an approximation of the

**solution**of ( C . 5 ) . The strain energy is consequentlythe ...

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angle anisotropy approximation assumed atoms average axis c-sites calculated cations coherent compounds concentration condition considerations constant contribution corresponding crystal curve defect density dependence determined diffusion direction discussed dislocations displacement effect elastic elastic scattering electron energy equation et al exist experimental experiments factor field flux lines follows force function garnet given gives important increasing Inelastic Scattering interaction interface ions lattice length limit magnetic materials measured Merwe metal method misfit mode neutron normal obtained parameter phase phonon Phys plane position potential present properties range rare earth reference region relation resolution resonance respectively sample scattering cross section shown shows single solid solution space strain stress structure substrate superconducting surface Table temperature tetrahedral theory thermal thickness transition unit values vector X-ray