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.
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April 1999
Technical Papers
Curved Parametric Segments for the Stress Field of 3-D Dislocation Loops
Nasr M. Ghoniem
Nasr M. Ghoniem
Mechanical and Aerospace Engineering Department, University of California at Los Angeles (UCLA), Los Angeles, CA 90095-1600
e-mail: ghoniem@ucla.edu
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Nasr M. Ghoniem
Mechanical and Aerospace Engineering Department, University of California at Los Angeles (UCLA), Los Angeles, CA 90095-1600
e-mail: ghoniem@ucla.edu
J. Eng. Mater. Technol. Apr 1999, 121(2): 136-142 (7 pages)
Published Online: April 1, 1999
Article history
Received:
August 19, 1998
Revised:
November 8, 1998
Online:
November 27, 2007
Citation
Ghoniem, N. M. (April 1, 1999). "Curved Parametric Segments for the Stress Field of 3-D Dislocation Loops." ASME. J. Eng. Mater. Technol. April 1999; 121(2): 136–142. https://doi.org/10.1115/1.2812358
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