Curved Parametric Segments for the Stress Field of 3-D Dislocation Loops

[+] Author and Article Information
Nasr M. Ghoniem

Mechanical and Aerospace Engineering Department, University of California at Los Angeles (UCLA), Los Angeles, CA 90095-1600

J. Eng. Mater. Technol 121(2), 136-142 (Apr 01, 1999) (7 pages) doi:10.1115/1.2812358 History: Received August 19, 1998; Revised November 08, 1998; Online November 27, 2007


Under applied mechanical forces, strong mutual interaction or other thermodynamic forces, dislocation shapes become highly curved. We present here a new method for accurate computations of self and mutual interactions between dislocation loops. In this method, dislocation loops of arbitrary shapes are segmented with appropriate parametric equations representing the dislocation line vector. Field equations of infinitesimal linear elasticity are developed on the basis of isotropic elastic Green’s tensor functions. The accuracy and computational speed of the method are illustrated by computing the stress field around a typical (110)-[111] slip loop in a BCC crystal. The method is shown to be highly accurate for close-range dislocation interactions without any loss of computational speed when compared to analytic evaluations of the stress field for short linear segments. Moreover, computations of self-forces and energies of curved segments are guaranteed to be accurate, because of the continuity of line curvature on the loop.

Copyright © 1999 by The American Society of Mechanical Engineers
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