Stochastic Dislocation Dynamics for Dislocation-Defects Interaction: A Multiscale Modeling Approach

[+] Author and Article Information
Masato Hiratani, Hussein M. Zbib

School of Mechanical and Materials Engineering, Washington State University, Pullman, WA 99164-2920

J. Eng. Mater. Technol 124(3), 335-341 (Jun 10, 2002) (7 pages) doi:10.1115/1.1479693 History: Received February 19, 2002; Revised March 08, 2002; Online June 10, 2002
Copyright © 2002 by ASME
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Kubin,  L. P., Canova,  G., Condat,  M., Devincre,  B., Pontikis,  V., and Brechet,  Y., 1992, “Microstructures in two dimensions: I. relaxed structures, modeling simulation,” Mater. Sci. Eng., 1, pp. 1–17.
Zbib,  H. M., Rhee,  M., and Hirth,  J. P., 1998, “On plastic defomation and the dynamics of 3D dislocation,” Int. J. Mech. Sci., 40, pp. 113–127.
Rhee,  M., Zbib,  H. M., and Hirth,  J. P., 1998, “Models for Long/Short Range Interactions in 3D Dislocation Simulation,” Modell. Simul. Mater. Sci. Eng., 6, pp. 467–492.
Ghoniem,  N. M., Tong,  S. H., and Sun,  L. Z., 2000, “Parametric dislocation dynamics: A thermodynamics-based approach to investigations of mesoscopic plastic deformation,” Phys. Rev. B, 61, pp. 913–927.
Schwarz,  K. W., 1999, “Simulation of Dislocations on the Mesoscopic Scale, I Methods and Examples,” J. Appl. Phys., 85, pp. 108.
Diaz de la Rubia,  T., Zbib,  H. M., Khraishi,  T. A., Wirth,  B. D., Victoria,  M., and Caturla,  M. J., 2000, “Plastic Flow Localization in Irradiated Materials: A Multiscale Modeling Approach,” Nature (London), 406, pp. 871–874.
Hiratani,  M., and Nadgorny,  E. M., 2001, “Combined model of dislocation motion with thermally activated and drag-dependent stages,” Acta Mater., 40, pp. 4337–4346.
Hiratani, M., and Zbib, H. M., 2001, “Modeling of thermally activated dislocation glide: The effects of thermal process and local obstacles,” MRS 2001 Spring Meeting Proceedings, San Francisco, CA, pp. BB 5.8.
Landau,  A. I., 1975, “Thermally activated motion of a dislocation through a random array of point obstacles,” Phys. Status Solidi A, 30, pp. 659.
Ronnpagel,  D., Streit,  T., and Pretorius,  T., 1993, “Including Thermal Activation in Simulation Calculations of Dislocation Glide,” Phys. Status Solidi A, 135, pp. 445–454.
Naess,  S. N., Adland,  H. M., Mikkelsen,  A., and Elgsaeter,  A., 2001, “Brownian dynamics simulation of rigid bodies and segmented polymer chains. Use of Cartesian rotation vectors as the generalized coordinates describing angular orientations,” Physica A, 294, pp. 323–339.
Raabe,  D., 1998, “Introduction of a hybrid model for the discrete 3D simulation of dislocation dynamics,” Comput. Mater. Sci., 11, pp. 1–15.
Al’shitz, V. I., 1992, “The Phonon Dislocation Interaction and its Role in Dislocation Dragging and Thermal Resistivity,” in Elastic Strain and Dislocation Mobility, 31, Modern Problems in Condensed Matter Sciences, V. L. Indenbom and J. Lothe, eds. North-Holland, Amsterdam.
Ashcroft, N. W., and Mermin, N. D., 1976, Solid State Physics, Saunders College.
McKrell,  T. J., and Galligan,  J. M., 2000, “Instantaneous dislocation velocity in iron at low temperature,” Scr. Mater., 42, pp. 79–82.
Jinpeng,  C., Bulatov,  V. V., and Yip,  S., 1999, “Molecular dynamics study of edge dislocation motion in a bcc metal,” J. Comput.-Aided Mater. Des., 6, pp. 165–173.
Risken, H., 1989, The Fokker-Planck Equation, 2nd ed. Springer-Verlag, New York, pp. 14–25.
Allen, M. P. and Tildesley, D. J., 1987, Computer Simulation of Liquids, Oxford Science Publications, pp. 259–264.
Hiratani, M., Zbib, H. M., and Wirth, B. D., 2001, “Interaction of complete and truncated stacking fault tetrahedra with glissile dislocations in irradiated metals,” Philos. Mag., submitted.
Nadgorny, E., 1988, Dislocation Dynamics and Mechanical Properties of Crystals, Vol. 31, Oxford; Pergamon Press.
Labush,  R., 1977, “Statistical theory of dislocation configuration in a random array of point obstacles,” J. Appl. Phys., 48, pp. 4550–4556.
Zaitsev,  S. I., 1992, “Robin Hood as Self-Organized Criticality,” Physica A, 189, pp. 411–416.
Dai,  Y., and Victoria,  M., 1997, “Defect Structures in Deformed F.C.C. Metals,” Acta Mater., 45, pp. 3495–3501.
Hirth, J. P. and Lothe, J., 1982, Theory of Dislocations, 2nd ed., Wiley, New York.
Wirth, B. D., Bulatov, V. V., and Diaz de la Rubia, T., 2001, “Atomistic Simulation of Dislocation-Defect Interactions in Cu,” MRS 2001 Spring Meeting Proceedings, San Francisco, CA, pp. R3.27.
Ghoniem,  N. M., and Tong,  S. H., 2001, “On dislocation interaction with radiation-induced defect clusters nd plastic flow localization in fcc metals,” Philos. Mag., 81, pp. 2743–2764.
Yasin,  H., Zbib,  H. M., and Khaleel,  M. A., 2001, “Size and Boundary Effects in Discrete Dislocation Dynamics: Coupling with Continuum Finite Element,” Mater. Sci. Eng., A, 309–310, pp. 294–299.
Zbib,  H. M., Diaz de la Rubia,  T., and Bulatov,  V. V., 2002, “A Multiscale Model of Plasticity Based on iscrete Dislocation Dynamics,” ASME J. Eng. Mater. Technol., 124, pp. 78–87.
Swaminarayan,  S., and LeSar,  R., 2001, “A Monte Carlo method for simulating dislocation microstructures in three dimensions,” Comput. Mater. Sci., 21, pp. 339–359.
Zbib, H. M., and Diaz de la Rubia, T., 2002, “Multiscale Model of Plasticity,” Int. J. Plast. in press.
Zhou,  S. J., Preston,  D. L., and Louchet,  F., 1999, “Investigation of vacancy formation by a jogged dissociated dislocation with large-scale molecular dynamics and dislocation energetics,” Acta Mater., 47, pp. 2695–2703.
Caturla,  M. J., Soneda,  N., Alonso,  E., Wirth,  B. D., Diaz de La Rubia,  T., and Perlado,  J. M., 2000, “Comparative study of radiation damage accumulation in Cu and Fe,” J. Nucl. Mater. 276, pp. 13–21.


Grahic Jump Location
Stress dependence of the average dislocation velocity at two different temperatures
Grahic Jump Location
Shockley partials gliding on (1̄11̄) toward a truncated SFT viewed from the outside of Thomson’s tetrahedron. Partials above SFT in the figure is referred as an unlike case, and ones below the SFT as alike case.
Grahic Jump Location
System energy for Shockley partials gliding on (1̄11̄) planes for unlike cases. d is the interval between each glide plane and BCD plane of the SFT. The energy is converted per vacancy.
Grahic Jump Location
Dislocation pile-ups on (1̄11̄) plane viewed from the [1̄01] direction. AB corresponds to the stable position of glissile Shockley partial when the leading intersects AD (or AA), and AB denotes the (critical) anchoring position.
Grahic Jump Location
Activation energy with dislocations pile-ups at various planes. Curves labeled (u) corresponds to an unilike case, and others to the alike cases. The energy is converted per vacancy.
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Transition of velocity distribution when initial velocity is set to be −100 m/s
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Obstacle force profile at various relative positions of a perfect dislocation
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(a) (upper left) and (b) (upper right). Dislocation velocity at each average dislocation position, for T=300 K (Fig. 3(a)) and for T=100 K (Fig. 3(b)). (c) (lower left) and (d) (lower right). Average dislocation position at each time, for T=300 K (Fig. 3(d)) and for T=100 K (Fig. 3(d)).



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