This paper introduces a computational method for studies of the interaction between dislocations and precipitates. The method is based on 3-dimensional parametric dislocation dynamics and boundary and volume element method. The accuracy of the method is examined with the comparison with a Molecular Dynamics (MD) simulation result. The comparison shows that the method has a good accuracy and consistency with the MD simulations. The method is used to investigate the influences of precipitate geometry and the ratio of precipitate-to-matrix elastic shear modulus on the critical resolved shear stress (CSS). Finally an extension of the method to incorporate the dislocation core contribution to the dislocation-precipitate interaction is discussed.
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References
Banerjee, S., Ghoniem, N. M., and Kioussis, N., 2004, A Computational Method for Determination of the Core Structure of Arbitrary-shape 3D dislocation Loops, Proc. MMM-2, 23-25.
Fleischer, R. L., 1961, Solution hardening, Acta Metall. 9: 996-1000.
Fleischer, R. L., 1963, Substitutional solution hardening, Acta Metall. 11: 203-209.
Friedel, J., 1964, Dislocations, Pergamon Press, Oxford.
Ghoniem, N. M., Tong S. -H., and Sun, L. Z., 2000, Parametric dislocation dynamics: A thermodynamics-based approach to investigations of mesoscopic plastic deformations, Phys. Rev. B 61:(31-34) 913-927.
Han X., Ghoniem, N. M., and Wang, Z., 2003, Parametric dislocation dynamics of anisotropic crystals, Phil. Mag. 83(31-34): 3705-3721.
Kohler, C., Kizler, P., and Schmauder, S., 2005, Atomic simulation of precipitation hardening in α-iron: influence of precipitate shape and chemical composition, Modelling Simul. Mater. Sci. Eng. 13: 35-45.
Mura, T., 1982, Micromechanics of Defects in Solids, Kluwer Academic, Dordrecht.
Nabarro, F. R. N., 1947, Dislocations in a simple cubic lattice, Proc. Phys. Soc. 59: 256-272.
Nembach, E., 1983, Precipitation hardening caused by a difference in shear modulus between particle and matrix, Phys. Stat. Sol. (a) 78: 571-581.
Shin, C. S., Fivel, M. C., Verdier, M., and Oh, K. H., 2003, Dislocation-impenetrable precipitate interaction: a three-dimensional discrete dislocation dynamics analysis, Philos. Mag. 83(31-34): 3691-3704.
Shin, C. S., Fivel, M., and Kim, W. W., 2005, Three-dimensional computation of the interaction between a straight dislocation line and a particle, Modelling Simul. Mater. Sci. Eng. 13: 1163-1173.
Van der Giessen, E., and Needleman A., 1995, Discrete dislocation plasticity: a simple planar model, Modelling Simul. Mater. Sci. Eng. 3: 689-735.
Vogel, S. M., and Rizzo, F. J., 1973, An integral equation formulation of three dimensional anisotropic elastostatic boundary value problems, J. Elast. 3: 203-216.
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Takahashi, A. (2008). Parametric Dislocation Dynamics and Boundary Element Modeling of Elastic Interaction between Dislocations and Precipitates. In: Ghetta, V., Gorse, D., Mazière, D., Pontikis, V. (eds) Materials Issues for Generation IV Systems. NATO Science for Peace and Security Series B: Physics and Biophysics. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8422-5_13
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DOI: https://doi.org/10.1007/978-1-4020-8422-5_13
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