An algebraic description of screw dislocations in SC and BCC crystal lattices
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.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2016
- DOI:
- 10.48550/arXiv.1605.09550
- arXiv:
- arXiv:1605.09550
- Bibcode:
- 2016arXiv160509550H
- Keywords:
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- Mathematical Physics;
- Condensed Matter - Mesoscale and Nanoscale Physics;
- Condensed Matter - Statistical Mechanics;
- Mathematics - Algebraic Geometry;
- Mathematics - Algebraic Topology
- E-Print:
- 41 pages, 7 figures