Abstract
It is shown that vortices and dislocations can be treated as virtually identical from both a physical and mathematical perspective. This allows the lowest-energy configurations of such defects to be predicted. In particular, it is suggested that, similar to the way in which a dislocation cell structure forms at high deformations, an analogous vortex cell structure is generated at high fluid velocities. In addition, both arrangements are believed to underlie the concept of turbulence.
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References
M. J. Marcinkowski, Phys. Status Solidi (b) 152 (1989) 9.
Idem, Phil. Mag. A 62 (1990) 363.
L. M. Milne-Thomson, “Theoretical Hydrodynamics” (MacMillan, London, 1938) p. 178.
N. E. Kochin, I. A. Kibel and N. V. Roze, “Theoretical Hydrodynamics”, translated from Russian by D. Boyanovitch, edited by J. R. M. Radok (International Publishers, New York, 1964) p. 258.
K. Jagannadham and M. J. Marcinkowski, Phys. Status Solidi (a) 50 (1978) 293.
M. J. Marcinkowski and E. S. P. Das, Int. J. Fracture 10 (1974) 181.
M. J. Marcinkowski, Phys. Status Solidi (a) 96 (1986) 425.
Idem Phil. Mag. Lett. 62 (1990) 19.
J. M. Burgers, Proc. Kon. Nederl. Akad. Wetensch. 42 (1939) 293.
J. P. Hirth and J. Lothe, “Theory of Dislocations” (McGraw-Hill, New York, 1968) p. 645.
M. J. Marcinkowski, Phys. Status Solidi (b) 126 (1984) 527.
C. G. Darwin, Phil. Mag. 27 (1934) 315.
Idem, ibid. 27 (1934) 675.
J. D. Embury, A. S. Keh and R. M. Fisher, Trans. Met. Soc. AIME 236 (1966) 1252.
D. Kuhlmann-Wildorf and J. H. Van Der Merwe, Mater. Sci. Engng 55 (1982) 79.
M. J. Marcinkowski, Phys. Status Solidi (a) 94 (1986) 489.
K. Oswatitsch, “Physikalische Grundlagen der Strömungslehre”, in “Handbuch der Physik”, edited by S. Flügge (Springer, Berlin, 1959) Vol. VIII/1.
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Marcinkowski, M.J. Similarities in the low-energy configurations of dislocations and vortices. J Mater Sci 27, 3726–3732 (1992). https://doi.org/10.1007/BF00545448
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DOI: https://doi.org/10.1007/BF00545448