Dislocation correlations and the continuum dynamics of the weak line bundle ensemble

Anderson, Joseph Pierre; El-Azab, Anter

doi:10.1103/PhysRevB.109.174103

Title: Dislocation correlations and the continuum dynamics of the weak line bundle ensemble

Journal Article · 02 May 2024 · Physical Review. B

DOI: https://doi.org/10.1103/PhysRevB.109.174103 · OSTI ID:2356982

; El-Azab, Anter

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0017718

OSTI ID:: 2356982

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 17 Vol. 109; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (52)

The Mechanism of Plastic Deformation of Crystals. Part I. Theoretical Taylor, G. I. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 145, Issue 855 https://doi.org/10.1098/rspa.1934.0106	journal	July 1934
Numerical simulation of model problems in plasticity based on field dislocation mechanics Morin, Léo; Brenner, Renald; Suquet, Pierre Modelling and Simulation in Materials Science and Engineering, Vol. 27, Issue 8 https://doi.org/10.1088/1361-651X/ab49a0	journal	October 2019
Continuous distribution of moving dislocations Mura, T. Philosophical Magazine, Vol. 8, Issue 89 https://doi.org/10.1080/14786436308213841	journal	May 1963
Continuum theory and methods for coarse-grained, mesoscopic plasticity Acharya, Amit; Roy, Anish; Sawant, Aarti Scripta Materialia, Vol. 54, Issue 5 https://doi.org/10.1016/j.scriptamat.2005.10.070	journal	March 2006
The importance of being curved: bowing dislocations in a continuum description Sedláček, Radan; Kratochvíl, Jan; Werner, Ewald Philosophical Magazine, Vol. 83, Issue 31-34 https://doi.org/10.1080/14786430310001600213	journal	October 2003
Dislocations, Mesoscale Simulations and Plastic Flow Kubin, Ladislas https://doi.org/10.1093/acprof:oso/9780198525011.001.0001	book	April 2013
Pattern formation in a minimal model of continuum dislocation plasticity Sandfeld, Stefan; Zaiser, Michael Modelling and Simulation in Materials Science and Engineering, Vol. 23, Issue 6 https://doi.org/10.1088/0965-0393/23/6/065005	journal	July 2015
�ber eine Art Gitterst�rung, die einen Kristall plastisch machen k�nnte Polanyi, M. Zeitschrift f�r Physik, Vol. 89, Issue 9-10 https://doi.org/10.1007/BF01341481	journal	September 1934
Size effects and idealized dislocation microstructure at small scales: Predictions of a Phenomenological model of Mesoscopic Field Dislocation Mechanics: Part I Acharya, A.; Roy, A. Journal of the Mechanics and Physics of Solids, Vol. 54, Issue 8 https://doi.org/10.1016/j.jmps.2006.01.009	journal	August 2006
Situating the Vector Density Approach Among Contemporary Continuum Theories of Dislocation Dynamics Anderson, Joseph Pierre; Vivekanandan, Vignesh; Lin, Peng Journal of Engineering Materials and Technology, Vol. 144, Issue 1 https://doi.org/10.1115/1.4052066	journal	August 2021
Emergence and role of dipolar dislocation patterns in discrete and continuum formulations of plasticity Ispánovity, Péter Dusán; Papanikolaou, Stefanos; Groma, István Physical Review B, Vol. 101, Issue 2 https://doi.org/10.1103/PhysRevB.101.024105	journal	January 2020
Local density approximation for the energy functional of three-dimensional dislocation systems Zaiser, M. Physical Review B, Vol. 92, Issue 17 https://doi.org/10.1103/PhysRevB.92.174120	journal	November 2015
Fast Fourier transform discrete dislocation dynamics Graham, J. T.; Rollett, A. D.; LeSar, R. Modelling and Simulation in Materials Science and Engineering, Vol. 24, Issue 8 https://doi.org/10.1088/0965-0393/24/8/085005	journal	October 2016
Dynamics of curved dislocation ensembles Groma, István; Ispánovity, Péter Dusán; Hochrainer, Thomas Physical Review B, Vol. 103, Issue 17 https://doi.org/10.1103/PhysRevB.103.174101	journal	May 2021
Dislocation Nodes in Face-Centred Cubic Lattices Thompson, N. Proceedings of the Physical Society. Section B, Vol. 66, Issue 6 https://doi.org/10.1088/0370-1301/66/6/304	journal	June 1953
Size effects and idealized dislocation microstructure at small scales: Predictions of a Phenomenological model of Mesoscopic Field Dislocation Mechanics: Part II Roy, A.; Acharya, A. Journal of the Mechanics and Physics of Solids, Vol. 54, Issue 8 https://doi.org/10.1016/j.jmps.2006.01.012	journal	August 2006
A non-singular continuum theory of dislocations Cai, W.; Arsenlis, A.; Weinberger, C. Journal of the Mechanics and Physics of Solids, Vol. 54, Issue 3 https://doi.org/10.1016/j.jmps.2005.09.005	journal	March 2006
A dislocation reaction in the face-centred cubic lattice Lomer, W. M. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 42, Issue 334 https://doi.org/10.1080/14786444108561389	journal	November 1951
Clouds-in-clouds, clouds-in-cells physics for many-body plasma simulation Birdsall, Charles K.; Fuss, Dieter Journal of Computational Physics, Vol. 3, Issue 4 https://doi.org/10.1016/0021-9991(69)90058-8	journal	April 1969
On Dislocation Interactions in the fcc Lattice Hirth, J. P. Journal of Applied Physics, Vol. 32, Issue 4 https://doi.org/10.1063/1.1736074	journal	April 1961
Zur Kristallplastizit�t. I: Tieftemperaturplastizit�t und Beckersche Formel Orowan, E. Zeitschrift f�r Physik, Vol. 89, Issue 9-10 https://doi.org/10.1007/BF01341478	journal	September 1934
Benefits and shortcomings of the continuous theory of dislocations Kröner, E. International Journal of Solids and Structures, Vol. 38, Issue 6-7 https://doi.org/10.1016/S0020-7683(00)00077-9	journal	February 2001
The discrete-continuum connection in dislocation dynamics: I. Time coarse graining of cross slip Xia, Shengxu; Belak, James; El-Azab, Anter Modelling and Simulation in Materials Science and Engineering, Vol. 24, Issue 7 https://doi.org/10.1088/0965-0393/24/7/075007	journal	September 2016
On the three-dimensional spatial correlations of curved dislocation systems Anderson, Joseph Pierre; El-Azab, Anter Materials Theory, Vol. 5, Issue 1 https://doi.org/10.1186/s41313-020-00026-w	journal	March 2021
Statistics of internal stress fluctuations in dislocated crystals and relevance to density-based dislocation dynamics models Vivekanandan, Vignesh; Anderson, Joseph Pierre; Pachaury, Yash Modelling and Simulation in Materials Science and Engineering, Vol. 30, Issue 4 https://doi.org/10.1088/1361-651X/AC5DCF	journal	April 2022
Implementation of annihilation and junction reactions in vector density-based continuum dislocation dynamics Lin, Peng; El-Azab, Anter Modelling and Simulation in Materials Science and Engineering, Vol. 28, Issue 4 https://doi.org/10.1088/1361-651X/ab7d90	journal	March 2020
Effective mobility of dislocations from systematic coarse-graining Kooiman, M.; Hütter, M.; Geers, Mgd Journal of Statistical Mechanics: Theory and Experiment, Vol. 2015, Issue 6 https://doi.org/10.1088/1742-5468/2015/06/P06005	journal	June 2015
Investigation of dislocation pattern formation in a two-dimensional self-consistent field approximation Groma, I.; Balogh, P. Acta Materialia, Vol. 47, Issue 13 https://doi.org/10.1016/S1359-6454(99)00215-3	journal	October 1999
A non-singular theory of dislocations in anisotropic crystals Po, Giacomo; Lazar, Markus; Admal, Nikhil Chandra International Journal of Plasticity, Vol. 103 https://doi.org/10.1016/j.ijplas.2017.10.003	journal	April 2018
Making sense of dislocation correlations Hochrainer, Thomas; Weger, Benedikt; Gupta, Satyapriya Materials Theory, Vol. 6, Issue 1 https://doi.org/10.1186/S41313-021-00040-6	journal	February 2022
Thermodynamically consistent continuum dislocation dynamics Hochrainer, Thomas Journal of the Mechanics and Physics of Solids, Vol. 88 https://doi.org/10.1016/j.jmps.2015.12.015	journal	March 2016
On the computational solution of vector-density based continuum dislocation dynamics models: A comparison of two plastic distortion and stress update algorithms Lin, Peng; Vivekanandan, Vignesh; Starkey, Kyle International Journal of Plasticity, Vol. 138 https://doi.org/10.1016/j.ijplas.2021.102943	journal	March 2021
The Forces Exerted on Dislocations and the Stress Fields Produced by Them Peach, M.; Koehler, J. S. Physical Review, Vol. 80, Issue 3 https://doi.org/10.1103/PhysRev.80.436	journal	November 1950
Connecting discrete and continuum dislocation mechanics: A non-singular spectral framework Bertin, Nicolas International Journal of Plasticity, Vol. 122 https://doi.org/10.1016/j.ijplas.2018.12.006	journal	November 2019
The topological theory of defects in ordered media Mermin, N. D. Reviews of Modern Physics, Vol. 51, Issue 3 https://doi.org/10.1103/RevModPhys.51.591	journal	July 1979
Numerical implementation of static Field Dislocation Mechanics theory for periodic media Brenner, R.; Beaudoin, A. J.; Suquet, P. Philosophical Magazine, Vol. 94, Issue 16 https://doi.org/10.1080/14786435.2014.896081	journal	March 2014
Some geometrical relations in dislocated crystals Nye, J. F. Acta Metallurgica, Vol. 1, Issue 2 https://doi.org/10.1016/0001-6160(53)90054-6	journal	March 1953
General projection operator formalism for the dynamics and thermodynamics of complex fluids Öttinger, Hans Christian Physical Review E, Vol. 57, Issue 2 https://doi.org/10.1103/PhysRevE.57.1416	journal	February 1998
LX. The formation of immobile dislocations during slip Cottrell, A. H. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 43, Issue 341 https://doi.org/10.1080/14786440608520220	journal	June 1952
Development of mean-field continuum dislocation kinematics with junction reactions using de Rham currents and graph theory Starkey, Kyle; Hochrainer, Thomas; El-Azab, Anter Journal of the Mechanics and Physics of Solids, Vol. 158 https://doi.org/10.1016/j.jmps.2021.104685	journal	January 2022
Annihilation of dislocations during tensile and cyclic deformation and limits of dislocation densities Essmann, U.; Mughrabi, H. Philosophical Magazine A, Vol. 40, Issue 6 https://doi.org/10.1080/01418617908234871	journal	December 1979
On the implementation of dislocation reactions in continuum dislocation dynamics modeling of mesoscale plasticity Vivekanandan, Vignesh; Lin, Peng; Winther, Grethe Journal of the Mechanics and Physics of Solids, Vol. 149 https://doi.org/10.1016/j.jmps.2021.104327	journal	April 2021
Continuum representation of systems of dislocation lines: A general method for deriving closed-form evolution equations Monavari, Mehran; Sandfeld, Stefan; Zaiser, Michael Journal of the Mechanics and Physics of Solids, Vol. 95 https://doi.org/10.1016/j.jmps.2016.05.009	journal	October 2016
Theory of disclinations: II. Continuous and discrete disclinations in anisotropic elasticity deWit, R. Journal of Research of the National Bureau of Standards Section A: Physics and Chemistry, Vol. 77A, Issue 1 https://doi.org/10.6028/jres.077A.003	journal	January 1973
The Continuum Theory of Stationary Dislocations de Wiť, Roland Solid State Physics, Vol. 10, p. 249-292 https://doi.org/10.1016/S0081-1947(08)60703-1	book	January 1960
Computational modelling of mesoscale dislocation patterning and plastic deformation of single crystals Xia, Shengxu; El-Azab, Anter Modelling and Simulation in Materials Science and Engineering, Vol. 23, Issue 5 https://doi.org/10.1088/0965-0393/23/5/055009	journal	May 2015
Dislocation patterning in a two-dimensional continuum theory of dislocations Groma, István; Zaiser, Michael; Ispánovity, Péter Dusán Physical Review B, Vol. 93, Issue 21 https://doi.org/10.1103/PhysRevB.93.214110	journal	June 2016
Mobility laws in dislocation dynamics simulations Cai, Wei; Bulatov, Vasily V. Materials Science and Engineering: A, Vol. 387-389 https://doi.org/10.1016/j.msea.2003.12.085	journal	December 2004
Crystallographic aspects of geometrically-necessary and statistically-stored dislocation density Arsenlis, A.; Parks, D. M. Acta Materialia, Vol. 47, Issue 5 https://doi.org/10.1016/S1359-6454(99)00020-8	journal	March 1999
Multipole expansion of continuum dislocations dynamics in terms of alignment tensors Hochrainer, T. Philosophical Magazine, Vol. 95, Issue 12 https://doi.org/10.1080/14786435.2015.1026297	journal	March 2013
Theoretical development of continuum dislocation dynamics for finite-deformation crystal plasticity at the mesoscale Starkey, Kyle; Winther, Grethe; El-Azab, Anter Journal of the Mechanics and Physics of Solids, Vol. 139 https://doi.org/10.1016/j.jmps.2020.103926	journal	June 2020
A FFT-based formulation for efficient mechanical fields computation in isotropic and anisotropic periodic discrete dislocation dynamics Bertin, N.; Upadhyay, M. V.; Pradalier, C. Modelling and Simulation in Materials Science and Engineering, Vol. 23, Issue 6 https://doi.org/10.1088/0965-0393/23/6/065009	journal	August 2015

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