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While considerable efforts in the form of ͑numerical͒ atomistic simulations have been expended to understand the mechanics of defect formation under applied strain, analogous analytical efforts have been rather few. In this work, based on the physics at the nanoscale, defect nucleation in single-walled carbon nanotubes is studied using both classical continuum field theory as well as gauge field theory of defects. Despite the inherent continuum assumption in our models, reasonably closedoi:10.1063/1.1870102 fatcat:bkujmiiwvfb3xkhpt6rypm2ale