Peierls stress in a two-dimensional model of screw dislocation
Abstract
A model of screw dislocation is examined which is: a) infinite, b) completely discrete (as opposed to the Peierls-Nabarro model, which contains elastic half-spaces as continuous elements), c) two-dimensional (as opposed to the one-dimensional model of Frenkel-Kontorova and Sanders). As a crystal lattice, we take an isometric simple lattice. A cross-section of the isometric lattice yields a quadratic lattice. Translocation of atoms is permitted only in a direction perpendicular to the plane of the cross-section. The work is divided into three sections. Part 1 presents a concise description of several models of dislocation in which an attempt is made to estimate Peierls stress. Part 2 contains a description of the proposed model --an adaptation of the dynamic model of screw dislocation proposed by Rogula. Part 3 presents the results of studies of Peierls stress in the Gamma function. Final results are presented in graphic form. A supplement contains a block program used in calculation on the CDC CYBER 72 electronic computer.
- Publication:
-
Unknown
- Pub Date:
- January 1977
- Bibcode:
- 1977pstd.rept.....K
- Keywords:
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- Crystal Dislocations;
- Screw Dislocations;
- Stress Analysis;
- Two Dimensional Models;
- Crystal Defects;
- Crystal Lattices;
- Dislocations (Materials);
- Solid-State Physics