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arXiv · 1605.09550

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

Hiroyasu Hamada·Shigeki Matsutani·Junichi Nakagawa·Osamu Saeki·Masaaki Uesaka
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Abstract

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.

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Hiroyasu Hamada, Shigeki Matsutani, Junichi Nakagawa, Osamu Saeki, Masaaki Uesaka. 2018-01-20. An algebraic description of screw dislocations in SC and BCC crystal lattices. https://arxiv.org/abs/1605.09550

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