3 years ago

An algebraic description of screw dislocations in SC and BCC crystal lattices.

Osamu Saeki, Shigeki Matsutani, Masaaki Uesaka, Hiroyasu Hamada, Junichi Nakagawa

We give an algebraic description of screw dislocations in a crystal, especially simple cubic (SC) and body centered cubic (BCC) crystals, using free abelian groups and fibering structures. We also show that the strain energy of a screw dislocation based on the spring model is expressed by the Epstein-Hurwitz zeta function approximately.

Publisher URL: http://arxiv.org/abs/1605.09550

DOI: arXiv:1605.09550v3

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