Towards rapid evaluation of the elastic interactions among three-dimensional dislocations

Author： Rodin G.  

Publisher： Taylor & Francis Ltd

ISSN： 1362-3036

Source： Philosophical Magazine Letters, Vol.77, Iss.4, 1998-04, pp. : 187-190

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Abstract

It is demonstrated that, mathematically, the elementary three-dimensional dislocation segment is equivalent to ten electrostatic charges and therefore the elastic interactions among such segments can be computed in O ( N ) operations via ten-fold application of the fast multipole method.

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