# A Novel Discrete Theory of a Screw Dislocation in the BCC Crystal Lattice

@article{Matsutani2019AND, title={A Novel Discrete Theory of a Screw Dislocation in the BCC Crystal Lattice}, author={Shigeki Matsutani}, journal={arXiv: Mathematical Physics}, year={2019} }

In this paper, we proposed a novel method using the elementary number theory to investigate the discrete nature of the screw dislocations in crystal lattices, simple cubic (SC) lattice and body centered cubic (BCC) lattice, by developing the algebraic description of the dislocations in the previous report (Hamada, Matsutani, Nakagawa, Saeki, Uesaka, Pacific J. Math.~for Industry {\bf{10}} (2018), 3). Using the method, we showed that the stress energy of the screw dislocations in the BCC lattice…

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