Peierls stress in a twodimensional model of screw dislocation
Abstract
A model of screw dislocation is examined which is: a) infinite, b) completely discrete (as opposed to the PeierlsNabarro model, which contains elastic halfspaces as continuous elements), c) twodimensional (as opposed to the onedimensional model of FrenkelKontorova and Sanders). As a crystal lattice, we take an isometric simple lattice. A crosssection of the isometric lattice yields a quadratic lattice. Translocation of atoms is permitted only in a direction perpendicular to the plane of the crosssection. 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:

 Crystal Dislocations;
 Screw Dislocations;
 Stress Analysis;
 Two Dimensional Models;
 Crystal Defects;
 Crystal Lattices;
 Dislocations (Materials);
 SolidState Physics