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Publication 17-CNA-015
Chiqun Zhang Amit Acharya Abstract: The utility of the notion of generalized disclinations in materials science is discussed within
the physical context of modeling interfacial and bulk line defects like defected grain and phase
boundaries, dislocations and disclinations. The Burgers vector of a disclination dipole in linear
elasticity is derived, clearly demonstrating the equivalence of its stress field to that of an edge
dislocation. We also prove that the inverse deformation/displacement jump of a defect line is
independent of the cut-surface when its g.disclination strength vanishes. An explicit formula for
the displacement jump of a single localized composite defect line in terms of given g.disclination
and dislocation strengths is deduced based on the Weingarten theorem for g.disclination theory
(Weingarten-gd theorem) at finite deformation. The Burgers vector of a g.disclination dipole at
finite deformation is also derived.Get the paper in its entirety as 17-CNA-015.pdf |