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Applications of Anisotropic Elastic Continuum Theory to Dislocations in Graphite

Report Number: WADD TR 61-72 Volume 2
Author(s): G. B. Spence
Corporate Author: National Carbon Co Inc Cleveland Ohio
Laboratory: Directorate of Materials and Processes
Date of Publication: 1962-07
Pages: 54
Contract: AF 33(616)-6915
Project: 7350
Task: 735002
AD Number: AD0286090

Eshelby, Read, and Shockley's (E SHELBY, J.D. R EAD, Wit., and Shockley, W., Acta Meta. 1:251 (1953 00, theory of dislocations in an anisotropic elastic continuum was used to derive formulas not involving complex numbers for the stress components of straight dislocations in certain symmetry directions. From these the dependence of stacking fault energy, gamma F, on the orientation of the Burgers vector and on the width of exten ed dislocations and triple partial rbbons and the dependence of gamma F on the radium of curvature of extended nodes were calculated. The re ults are rigorous for hexagonal crystals and approximate for general directions in (111) planes of FCC crystals. The theory is applied to graphite and lose-packed metals. All three methods of determining gamma F or graphite yield results which are compatible with the vale 0.6 + or - 0.2 erg/sq cm. The rough estimate of error is based on uncertainties in the elastic constants and differences in experimental results.

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