1979
DOI: 10.13182/nse79-a19960
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Complex Buckling Modes in Asymmetric Cell Lattices

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Cited by 7 publications
(3 citation statements)
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“…The critical buckling and the k eff are both real in a critical buckling search calculation in a symmetric unit cell. For an asymmetric cell, however, the buckling that is parallel to the direction having asymmetry must be complex in order to obtain a real-valued k eff (Hughes, 1979). If we persisted in the real-valued buckling in an asymmetric cell, k eff would have to be complex (Tommasi, 2015).…”
Section: Monte Carlo Methods For Complex-valued Buckling In An Asymmetmentioning
confidence: 99%
“…The critical buckling and the k eff are both real in a critical buckling search calculation in a symmetric unit cell. For an asymmetric cell, however, the buckling that is parallel to the direction having asymmetry must be complex in order to obtain a real-valued k eff (Hughes, 1979). If we persisted in the real-valued buckling in an asymmetric cell, k eff would have to be complex (Tommasi, 2015).…”
Section: Monte Carlo Methods For Complex-valued Buckling In An Asymmetmentioning
confidence: 99%
“…Then the functional dependence of these maxima on the abscissas is fitted using pre-determined shapes (z mid is the abscissa of the core midplane, i.e. 14 cm here): For the core built from symmetric cells, a pure cosine shape Y ¼ cos B r ðz À z mid Þ ½ ; For the core built from asymmetric cells, a ''cosine with drift'' (Hughes 1979) …”
Section: -Cell Slab Coresmentioning
confidence: 99%
“…Furthermore, they give an example of a 1D slab core made of repeating dissymmetric unit cells where a sinusoidal macroscopic flux shape cannot be established. (Larsen and Williams, 1978) show the possibility of a neutron ''drift'' in a privileged direction within an asymmetric heterogeneous medium, and (Hughes, 1979) shows that k can be real (at least at second order iñ B) in an asymmetric cell, provided thatB itself is complex-valued.…”
Section: Introductionmentioning
confidence: 99%