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## A Theory of Anharmonic Lattice Statics for Analysis of Defective CrystalsPosted by: Computer Science Clay Created at: Saturday 06th of June 2009 11:08:37 PM Last Edited Or Replied at :Saturday 06th of June 2009 11:08:37 PM | Crystals ,
Defective,
Analysis ,
Statics,
lattice electro optics ,
lattice energy of mgf2,
lattice energy of cao ,
lattice energy equation,
lattice energy calculator ,
lattice energy table,
lattice engines ,
lattice energy trends,
lattice energy ,
lattice deck railing,
lattice door ,
lattice dough cutter,
lattice deck ,
lattice dystrophy,
lattice division ,
lattice designs,
lattice degeneration ,
lattice crane,
lattice capital management ,
lattice cutter,
lattice corneal dystrophy ,
lattice covers,
lattice crust ,
lattice constant,
lattice communications ,
Lattice,
Anharmonic ,
Theory,
| ||

fied Newton-Raphson iterations of the harmonic solutions. In this theory, defective crystals are
classified into three groups: defective crystals with 1-D symmetry reduction, defective crystals
with 2-D symmetry reduction, and defective crystals with no symmetry reduction. Our theory
systematically reduces the discrete governing equations for defective crystals with 1-D and 2-D
symmetry reductions to ordinary difference equations and partial difference equations in two
independent variables, respectively. Solution techniques for the discrete governing equations are
demonstrated through some ex..................[:=> Show Contents <=:] | |||

## A Theory of Anharmonic Lattice Statics for Analysis of Defective CrystalsPosted by: Computer Science Clay Created at: Saturday 06th of June 2009 11:08:37 PM Last Edited Or Replied at :Saturday 06th of June 2009 11:08:37 PM | Crystals ,
Defective,
Analysis ,
Statics,
lattice electro optics ,
lattice energy of mgf2,
lattice energy of cao ,
lattice energy equation,
lattice energy calculator ,
lattice energy table,
lattice engines ,
lattice energy trends,
lattice energy ,
lattice deck railing,
lattice door ,
lattice dough cutter,
lattice deck ,
lattice dystrophy,
lattice division ,
lattice designs,
lattice degeneration ,
lattice crane,
lattice capital management ,
lattice cutter,
lattice corneal dystrophy ,
lattice covers,
lattice crust ,
lattice constant,
lattice communications ,
Lattice,
Anharmonic ,
Theory,
| ||

the bulk crystal. This formulation of lattice statics reduces the analysis of defective crystals to
solving discrete boundary-value problems which consist of system of difference equations with some
boundary conditions. To be able to solve the governing equations analytically, the discrete
governing equations are linearized about a reference configuration that resembles a nominal defect.
Fully nonlinear solutions are obtained by modified Newton-Raphson iterations of the harmonic
solutions. In this theory, defective crystals are classified into three groups: defective crystals
with 1-D symmetr..................[:=> Show Contents <=:] |

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