Identification of Secondary Dislocations by Singular Value Decomposition of the Nye Tensor

FZ Dai and WZ Zhang, ACTA METALLURGICA SINICA-ENGLISH LETTERS, 27, 1078-1082 (2014).

DOI: 10.1007/s40195-014-0123-6

Recently, we proposed the use of singular values and singular vectors of the Nye tensor to specify the features of dislocations. To further validate the method in identifying dislocations, the algorithm is applied to detect secondary dislocations in this paper. Different from the perfect and partial dislocations where the reference state is a single crystal, the reference state for detecting secondary dislocations should be a bi-crystal in a coincident coherent state. It is demonstrated that the secondary dislocations in an interface can be correctly identified when the reference state is appropriately selected.

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