Free-Surface Effects in 3D Dislocation Dynamics: Formulation and Modeling

[+] Author and Article Information
Tariq A. Khraishi

Department of Mechanical Engineering, University of New Mexico, Albuquerque, NM 87131e-mail: khraishi@me.unm.edu

Hussein M. Zbib

School of Mechanical and Materials Engineering, Washington State University, Pullman, WA 99164e-mail: zbib@mme.wsu.edu

J. Eng. Mater. Technol 124(3), 342-351 (Jun 10, 2002) (10 pages) doi:10.1115/1.1479694 History: Received September 04, 2001; Revised March 15, 2002; Online June 10, 2002
Copyright © 2002 by ASME
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A dislocation segment inside a computational box
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Segment A1B1 beneath a surface with ascribed local coordinate system
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A mesh of rectangular elements, representing prismatic dislocation loops, covering area S upon which surface traction annulment is sought. The inset shows one of these prismatic dislocation loops.
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Faces of a DD computational box uniformly meshed with square elements representing prismatic dislocation loops
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A dislocation segment in a DD computational box reflected off of the six external box surfaces
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Comparisons of the stresses from the current work (TK) versus the work by Maurissen and Capella (MC) for a sub-surface vertical segment. Stresses are in Pa. The segment points in the positive z-direction, has a zero y-component of b, and a length of 100b. The stresses are plotted along an axis parallel to the y-axis at a depth of 400b. The surface is 20,000b on each side and has a mesh density of 10×10 loops.
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Same as Fig. 6 but with a surface mesh density of 30×30 loops.
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Same as Fig. 6 but with a surface mesh density of 50×50 loops
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The Peach-Koehler force pulling a subsurface horizontal segment towards the surface versus the segment depth for a fixed segment length
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The Peach-Koehler force pulling a subsurface horizontal segment towards the surface versus the segment length for a fixed segment depth
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Stress-strain diagrams from DD simulations for one operational Frank-Read source in a cubic cell that is 10,000b in side length. The source is close to the cell’s external surfaces. The continuous line correspond to no treatment of the traction-free boundary condition, and the dashed lines corresponds to an external surface mesh density of 10×10 loops, 20×20 loops, and 30×30 loops.



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