FTMP-Based Quantitative Evaluations for Dynamic Behavior of Dislocation Wall Structures

FTMP-Based Quantitative Evaluations for Dynamic Behavior of Dislocation Wall Structures

Shiro IHARA, Tadashi HASEBE

Abstract. Field theory of multiscale plasticity (FTMP) is applied to the quantitative evaluations of geometrically necessary boundaries (GNBs) of dislocations. Reproduced four representative GNBs via dislocation dynamics simulations are scrutinized via the duality diagram representation scheme and the Shannon entropy. Notable correlations are found both between the entropy and the incompatibility, and the mean entropy rate and the incompatibility rate. Furthermore, the mean entropy rate is linearly correlated also with the log of the incompatibility. Combined with a unified correlation for all the GNBs on the duality diagram, we demonstrate the effectiveness of the FTMP-based stability/instability criterion proposed in the previous study.

Keywords
Dislocation, Crystal Plasticity, Field Theory, Differential Geometry, Dislocation Dynamics

Published online 7/30/2019, 6 pages
Copyright © 2019 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Shiro IHARA, Tadashi HASEBE, FTMP-Based Quantitative Evaluations for Dynamic Behavior of Dislocation Wall Structures, Materials Research Proceedings, Vol. 13, pp 85-90, 2019

DOI: https://doi.org/10.21741/9781644900338-15

The article was published as article 15 of the book Explosion Shock Waves and High Strain Rate Phenomena

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

References
[1] G. Winther, C. Hong, and X. Huang, Low-Energy Dislocation Structure (LEDS) character of dislocation boundaries aligned with slip planes in rolled aluminium, Phil. Mag. 95 (2015) 1471-1489. https://doi.org/10.1080/14786435.2015.1033488
[2]N. Hansen, Deformation microstructures with a structural scale from the micrometre to the nanometre dimension, Evolution of Deformation Microstructures in 3D,Eds.Gundlach,C., et al.(Proc．25th Riso int.Symp Maters.Sci.)(2004) 13-32.
[3]O. V. Mishin, A. Gofrey, D. Juul Jensen and N. Hansen, Recovery and recrystalizaion in commercial purity aluminum cold roled to an ultrahigh strain, Acta Mater. 61 (2013) 5354-5364. https://doi.org/10.1016/j.actamat.2013.05.024
[4] Fleck, N.A., and Hutchinson, J.W., 2001, A reformulation of strain gradient plasticity, J. Mech. Phys. Solids 49, 2245-2271. https://doi.org/10.1016/s0022-5096(01)00049-7
[5]T. Hasebe, M. Sugiyma, H. Adachi, S. Fukutani, and M. Iida, Modeling and simulations of experimentally-observed dislocation substructures based on Field Theory of Multiscale Plasticity (FTMP) combined with TEM and EBSD-Wilkinson method for FCC and BCC poly/single crystals, Mater. Trans. 55 (2014)779-787. https://doi.org/10.2320/matertrans.m2013226
[6]Shannon, C.E., A mathematical theory of communication, Bell Syst. Tech. J. 27 (1948) 379-423.
[7] A.M. Hussein and J. A. El-Awady, Quntifying dislocation microstructure evolution and cyclic hardeining in fatigued face-centered cubic single crystals, J. Mech. Phys. Solids 91 (2016) 126-144. https://doi.org/10.1016/j.jmps.2016.03.012
[8]S. Ihara and T. Hasebe, FTMP-based simulations and evaluations of Geometrically-Necessary Boundaries (GNBs) of dislocation, Model. Simul. Mater. Sci. (Submitted) (2019).