Treatise on Materials Science and Technology, Volume 2 |
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Page 44
C . Solution of the Governing Equation 1 . DISPLACEMENT FUNCTION No
standard procedure for solving the nonlinear integrodifferential equation ( 4 . 39 )
exists . A solution was “ discovered , ” using an iterative method in which it was ...
C . Solution of the Governing Equation 1 . DISPLACEMENT FUNCTION No
standard 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 solution of the problem
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 problem
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 ...
Page 98
First Approximation This approach uses the exact solution ( 4 . 42 ) , namely , yo
= { + 1 - 1 arctan { [ 1 + B - 2 ) % + B - 1 ] tan { X } ( C . 6 ) of the simple model as
an approximation of the solution of ( C . 5 ) . The strain energy is consequently
the ...
First Approximation This approach uses the exact solution ( 4 . 42 ) , namely , yo
= { + 1 - 1 arctan { [ 1 + B - 2 ) % + B - 1 ] tan { X } ( C . 6 ) of the simple model as
an approximation of the solution of ( C . 5 ) . The strain energy is consequently
the ...
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Contents
Epitaxial Interfaces | 3 |
Thin Films | 15 |
Semiinfinite Overgrowths | 52 |
Copyright | |
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angle anisotropy approximation assumed atoms average axis c-site calculated cations coherent compounds concentration condition considerations constants contribution corresponding crystal curve decreases defect density dependence determined diffusion direction discussed dislocations displacement effect elastic elastic scattering electron energy equation et al experimental experiments factor field flux flux lines follows force function garnets given gives important impurity increases interaction interface ions lattice limit magnetic materials measured Merwe metal method misfit mode neutron normal observed obtained optical parameter phase phonon Phys plane position potential present processes properties range reference region resolution 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 wave X-ray