Other
Scientific paper
Jan 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974rspsa.336..191w&link_type=abstract
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 336, Issue 1605, pp. 191-209
Other
2
Scientific paper
The motion of a group of like dislocations in a single slip-plane is considered. The dislocation distribution is taken to be continuous and the velocity of each dislocation is taken to be proportional to the sum of an applied stress, S(x,t), and the stress due to the other dislocations. The ensuing one-dimensional transport equation for the dislocation density, β (x,t), is treated by means of an analytic continuation. It is found that when S(x,t) is quadratic in x, the acceleration of a dislocation depends on the local value of β β x and on the total number of dislocations. The evolution of a group from an arbitrary initial distribution is discussed in detail for the special case S=kx, where k is a constant. In particular, it is noted that if β β x initially vanishes at one end of the group the velocity of that end can, for a period, be independent of the dislocations elsewhere. An equivalence is also noted between the distributions that develop, from a common initial distribution when S=kx, k neq 0 and when S = 0.
Head A. K.
Wood Warren
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