Continuously Defective Crystals with a Prescribed Defectiveness
International Journal Geometric Methods in Modern Physics
We analyze some aspects of the kinematic theory of non-uniformly defective elastic crystals. Concentrating on the problem of identifying continuous defective lattices possessing the given defectiveness, as defined by the dislocation density tensor, we investigate the relation between the dislocation density tensor and the Lie algebra of vector fields associated with a defective lattice.
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Elżanowski, M. Z., & Preston, S. (2014). Continuously defective crystals with a prescribed dislocation density. International Journal of Geometric Methods in Modern Physics, 11(09), 1460034.