The use of a geometrical device called the Burgers vector octahedron is illustrated for the notation of the Burgers vectors of those dislocations in the face-centered cubic lattice which cannot be visualized by the conventional Thompson tetrahedron. Furthermore, a combination of the tetrahedron and ...
(1980): Determination of the Burgers vector of a dislocation by weak-beam imaging in a HVEM. Phil. Mag. A, 42, 453-462.Y. Ishida, H. Ishida, K. Kohra, and H. Ichinose, Determination of the Burgers vector of a dislocation by weak-beam imaging in a HVEM , Philos. Mag. A 42 (...
transmission electron microscopy/ Burgers vector determinationdislocationstwo-dimensional quasicrystalsconventional diffraction contrast transmission electron microscopykinematical theoryweak-extinction condition/ A6140M Structure of quasicrystals A6170J Etch pits, decoration, transmission electron-microscopy and other ...
The relaxation was carried out until the residual forces per degree of freedom were reduced to a force-norm of 10−8 eV Å−1. These relaxed configurations were then homogeneously scaled up to the lattice constant at 300 K (a300 K = 4.096 Å) and equilibrated for ...
where εM is the norm of the strain in the Maxwell element in a Burgers material (see Methods), AM is a pre-exponential factor, COH and r are the water concentration and its exponent, σ is the norm of deviatoric stress tensor, n is the stress exponent, H = Q + pΩ is...
For that reason, we base our theory on the principle of virtual power. Because a goal of ours is a characterization of the Burgers vector, we introduce a microscopic stress S that performs work locally in conjunction with temporal changes in the Burgers vector as characterized by Ġ=curlH...
The continuous theory of dislocations for a material containing dislocations to one Burgers vector onlyMathematics - Analysis of PDEs35Q7474C99We review the continuous theory of dislocations from a mathematical point of view using mathematical tools, which were only partly available when the theory ...
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The classical Weierstrass theorem (see57, Theorem 7.26) states that polynomials are dense in C(I), the space of all continuous complex functions on the closed interval \(I=[0,1]\) with the supremum norm. In other words, the set of all finite linear combinations of the functions $$\begi...
$$\mathrm{norm}\left(Y\right)= \frac{Y-\mathrm{min}(Y)}{\mathrm{max}\left(Y\right)-\mathrm{min}(Y)} ,$$ (10) Dynamically redistributing the numbers of individuals to operators $${{N}_{v+1}}_{ }=T\times \frac{{{PN}_{ }}_{v}}{{{PT}_{v}}_{ }} .$$ ...