Abstract
Cylindrical crystals are generally found in biological structures where the structural units are packed in two-dimensional lattices. Dislocations are believed to be responsible for the movement and shape changes of cylindrical crystals in many biological systems. We investigated the dislocation interactions in thin cylindrical crystals. The elastic field of a dislocation dipole with Burgers vectors normal to the cylinder axis is obtained by employing a first-order shallow-shell theory. The variation of climb force as a function of dislocation separation distance is expressed in a closed form. The significance of the present finding as related to the study of contractile mechanisms in biological systems is also discussed.
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