Binary dislocation junction formation and strength in hexagonal close-packed crystals
Abstract
This work examines binary dislocation interactions, junction formation and junction strengths in hexagonal close-packed (hcp ) crystals. Through a line-tension model and dislocation dynamics (DD) simulations, the interaction and dissociation of different sets of binary junctions are investigated involving one dislocation on the (011¯0) prismatic plane and a second dislocation on one of the following planes: (0001) basal, (11¯00) prismatic, (11¯01) primary pyramidal, or (2¯112) secondary pyramidal. Varying pairs of Burgers vectors are chosen from among the common types the basal type < a > 1/3 < 112¯0 >, prismatic type < c > <0001>, and pyramidal type < a+c > 1/3 < 112¯3¯ >. For binary interaction due to dislocation intersection, both the analytical results and DD-simulations indicate a relationship between symmetry of interaction maps and the relative magnitude of the Burgers vectors that constitute the junction. Using analytical formulae, a simple regressive model is also developed to represent the junction yield surface. The equation is treated as a degenerated super elliptical equation to quantify the aspect ratio and tilting angle. Lastly, the results provide analytical insights on binary dislocation interactions that may occur in general hcp metals.
- Authors:
-
- U.S. Army Research Lab., Aberdeen Proving Ground, MD (United States)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Univ. of Maryland, College Park, MD (United States); U.S. Army Research Lab., Adelphi, MD (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1367989
- Alternate Identifier(s):
- OSTI ID: 1252034
- Report Number(s):
- LLNL-JRNL-702744
Journal ID: ISSN 0749-6419; PII: S0749641915002028
- Grant/Contract Number:
- AC52-07NA27344; ORISE-1120-1120-99
- Resource Type:
- Accepted Manuscript
- Journal Name:
- International Journal of Plasticity
- Additional Journal Information:
- Journal Volume: 79; Journal ID: ISSN 0749-6419
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; dislocations; dynamics; elastic material; analytic functions
Citation Formats
Wu, Chi -Chin, Aubry, Sylvie, Arsenlis, Athanasios, and Chung, Peter C. Binary dislocation junction formation and strength in hexagonal close-packed crystals. United States: N. p., 2015.
Web. doi:10.1016/j.ijplas.2015.12.003.
Wu, Chi -Chin, Aubry, Sylvie, Arsenlis, Athanasios, & Chung, Peter C. Binary dislocation junction formation and strength in hexagonal close-packed crystals. United States. https://doi.org/10.1016/j.ijplas.2015.12.003
Wu, Chi -Chin, Aubry, Sylvie, Arsenlis, Athanasios, and Chung, Peter C. Thu .
"Binary dislocation junction formation and strength in hexagonal close-packed crystals". United States. https://doi.org/10.1016/j.ijplas.2015.12.003. https://www.osti.gov/servlets/purl/1367989.
@article{osti_1367989,
title = {Binary dislocation junction formation and strength in hexagonal close-packed crystals},
author = {Wu, Chi -Chin and Aubry, Sylvie and Arsenlis, Athanasios and Chung, Peter C.},
abstractNote = {This work examines binary dislocation interactions, junction formation and junction strengths in hexagonal close-packed (hcp ) crystals. Through a line-tension model and dislocation dynamics (DD) simulations, the interaction and dissociation of different sets of binary junctions are investigated involving one dislocation on the (011¯0) prismatic plane and a second dislocation on one of the following planes: (0001) basal, (11¯00) prismatic, (11¯01) primary pyramidal, or (2¯112) secondary pyramidal. Varying pairs of Burgers vectors are chosen from among the common types the basal type < a > 1/3 < 112¯0 >, prismatic type < c > <0001>, and pyramidal type < a+c > 1/3 < 112¯3¯ >. For binary interaction due to dislocation intersection, both the analytical results and DD-simulations indicate a relationship between symmetry of interaction maps and the relative magnitude of the Burgers vectors that constitute the junction. Using analytical formulae, a simple regressive model is also developed to represent the junction yield surface. The equation is treated as a degenerated super elliptical equation to quantify the aspect ratio and tilting angle. Lastly, the results provide analytical insights on binary dislocation interactions that may occur in general hcp metals.},
doi = {10.1016/j.ijplas.2015.12.003},
journal = {International Journal of Plasticity},
number = ,
volume = 79,
place = {United States},
year = {Thu Dec 17 00:00:00 EST 2015},
month = {Thu Dec 17 00:00:00 EST 2015}
}
Web of Science
Works referenced in this record:
Analysis of heterogeneous deformation and dislocation dynamics in single crystal micropillars under compression
journal, February 2010
- Akarapu, S.; Zbib, H. M.; Bahr, D. F.
- International Journal of Plasticity, Vol. 26, Issue 2
Prismatic slip in zirconium single crystals at elevated temperatures
journal, June 1975
- Akhtar, A.
- Metallurgical Transactions A, Vol. 6, Issue 6
Molecular dynamics simulation of 〈c+a〉 dislocation core structure in hexagonal-close-packed metals
journal, March 2002
- Ando, Shinji; Tonda, Hideki; Gotoh, Takushi
- Metallurgical and Materials Transactions A, Vol. 33, Issue 3
Enabling strain hardening simulations with dislocation dynamics
journal, July 2007
- Arsenlis, A.; Cai, W.; Tang, M.
- Modelling and Simulation in Materials Science and Engineering, Vol. 15, Issue 6
Incorporating three-dimensional mechanisms into two-dimensional dislocation dynamics
journal, November 2003
- Benzerga, A. A.; Bréchet, Y.; Needleman, A.
- Modelling and Simulation in Materials Science and Engineering, Vol. 12, Issue 1
Hybrid dislocation dynamics based strain hardening constitutive model
journal, October 2013
- Bertin, N.; Capolungo, L.; Beyerlein, I. J.
- International Journal of Plasticity, Vol. 49
On the strength of dislocation interactions and their effect on latent hardening in pure Magnesium
journal, November 2014
- Bertin, N.; Tomé, C. N.; Beyerlein, I. J.
- International Journal of Plasticity, Vol. 62
Connecting atomistic and mesoscale simulations of crystal plasticity
journal, February 1998
- Bulatov, Vasily; Abraham, Farid F.; Kubin, Ladislas
- Nature, Vol. 391, Issue 6668
Dislocation multi-junctions and strain hardening
journal, April 2006
- Bulatov, Vasily V.; Hsiung, Luke L.; Tang, Meijie
- Nature, Vol. 440, Issue 7088
A non-singular continuum theory of dislocations
journal, March 2006
- Cai, W.; Arsenlis, A.; Weinberger, C.
- Journal of the Mechanics and Physics of Solids, Vol. 54, Issue 3
Dislocation junction formation and strength in magnesium
journal, May 2011
- Capolungo, L.
- Acta Materialia, Vol. 59, Issue 8
First-Principles Study of Secondary Slip in Zirconium
journal, February 2014
- Chaari, Nermine; Clouet, Emmanuel; Rodney, David
- Physical Review Letters, Vol. 112, Issue 7
Dislocation Mean Free Paths and Strain Hardening of Crystals
journal, June 2008
- Devincre, B.; Hoc, T.; Kubin, L.
- Science, Vol. 320, Issue 5884
Simulations of forest interactions and strain hardening in FCC crystals
journal, May 1994
- Devincre, B.; Kubin, L. P.
- Modelling and Simulation in Materials Science and Engineering, Vol. 2, Issue 3A
Interaction of Dislocations with an Applied Stress in Anisotropic Crystals
journal, December 1959
- deWit, G.; Koehler, J. S.
- Physical Review, Vol. 116, Issue 5
A study of dislocation junctions in FCC metals by an orientation dependent line tension model
journal, November 2002
- Dupuy, L.; Fivel, M. C.
- Acta Materialia, Vol. 50, Issue 19
Investigations of pipe-diffusion-based dislocation climb by discrete dislocation dynamics
journal, July 2011
- Gao, Y.; Zhuang, Z.; Liu, Z. L.
- International Journal of Plasticity, Vol. 27, Issue 7
Detection of (C + A)-type dislocation self-blocking in magnesium
journal, December 2011
- Grinberg, B. A.; Ivanov, M. A.; Antonova, O. V.
- Russian Physics Journal, Vol. 54, Issue 8
Dislocation motion in magnesium: a study by molecular statics and molecular dynamics
journal, August 2009
- Groh, S.; Marin, E. B.; Horstemeyer, M. F.
- Modelling and Simulation in Materials Science and Engineering, Vol. 17, Issue 7
Multiscale modeling of the plasticity in an aluminum single crystal
journal, August 2009
- Groh, S.; Marin, E. B.; Horstemeyer, M. F.
- International Journal of Plasticity, Vol. 25, Issue 8
On Dislocation Interactions in the fcc Lattice
journal, April 1961
- Hirth, J. P.
- Journal of Applied Physics, Vol. 32, Issue 4
Electronic-structure study of an edge dislocation in Aluminum and the role of macroscopic deformations on its energetics
journal, March 2015
- Iyer, Mrinal; Radhakrishnan, Balachandran; Gavini, Vikram
- Journal of the Mechanics and Physics of Solids, Vol. 76
The force between non-parallel dislocations
journal, November 1961
- Kroupa, F.
- Czechoslovak Journal of Physics, Vol. 11, Issue 11
Dislocation junctions and jogs in a free-standing FCC thin film
journal, January 2011
- Lee, Seok-Woo; Aubry, Sylvie; Nix, William D.
- Modelling and Simulation in Materials Science and Engineering, Vol. 19, Issue 2
A multi-scale computational model of crystal plasticity at submicron-to-nanometer scales
journal, August 2009
- Liu, Z. L.; Liu, X. M.; Zhuang, Z.
- International Journal of Plasticity, Vol. 25, Issue 8
On the nature of attractive dislocation crossed states
journal, April 2002
- Madec, R.; Devincre, B.; Kubin, L. P.
- Computational Materials Science, Vol. 23, Issue 1-4
Dislocation study of prismatic slip systems and their interactions in hexagonal close packed metals: application to zirconium
journal, August 2004
- Monnet, G.; Devincre, B.; Kubin, L. P.
- Acta Materialia, Vol. 52, Issue 14
Initial dislocation structures in 3-D discrete dislocation dynamics and their influence on microscale plasticity
journal, April 2009
- Motz, C.; Weygand, D.; Senger, J.
- Acta Materialia, Vol. 57, Issue 6
On dislocation patterning: Multiple slip effects in the rate equation approach
journal, August 2006
- Pontes, J.; Walgraef, D.; Aifantis, E.
- International Journal of Plasticity, Vol. 22, Issue 8
Calculations of intersection cross-slip activation energies in fcc metals using nudged elastic band method
journal, November 2011
- Rao, S. I.; Dimiduk, D. M.; Parthasarathy, T. A.
- Acta Materialia, Vol. 59, Issue 19
Structure and Strength of Dislocation Junctions: An Atomic Level Analysis
journal, February 1999
- Rodney, D.; Phillips, R.
- Physical Review Letters, Vol. 82, Issue 8
The Contribution of the Dislocation Forest to the Flow Stress
journal, October 1972
- Schoeck, G.; Frydman, R.
- Physica Status Solidi (b), Vol. 53, Issue 2
Dislocation-density mechanisms for void interactions in crystalline materials
journal, July 2012
- Shanthraj, P.; Zikry, M. A.
- International Journal of Plasticity, Vol. 34
Mesoscopic Analysis of Structure and Strength of Dislocation Junctions in fcc Metals
journal, February 2000
- Shenoy, V. B.; Kukta, R. V.; Phillips, R.
- Physical Review Letters, Vol. 84, Issue 7
A crystal plasticity model for hexagonal close packed (HCP) crystals including twinning and de-twinning mechanisms
journal, October 2013
- Wang, H.; Wu, P. D.; Wang, J.
- International Journal of Plasticity, Vol. 49
Rules for Forest Interactions between Dislocations
journal, November 1999
- Wickham, L. K.; Schwarz, K. W.; Stölken, J. S.
- Physical Review Letters, Vol. 83, Issue 22
The strength of binary junctions in hexagonal close-packed crystals
journal, May 2013
- Wu, C. -C.; Chung, P. W.; Aubry, S.
- Acta Materialia, Vol. 61, Issue 9
Non-basal slip systems in HCP metals and alloys: source mechanisms
journal, December 2001
- Yoo, M. H.; Agnew, S. R.; Morris, J. R.
- Materials Science and Engineering: A, Vol. 319-321
3D dislocation dynamics: stress–strain behavior and hardening mechanisms in fcc and bcc metals
journal, January 2000
- Zbib, Hussein M.; Dı́az de la Rubia, Tomas; Rhee, Moono
- Journal of Nuclear Materials, Vol. 276, Issue 1-3
Plastic deformation mechanisms of fcc single crystals at small scales
journal, December 2011
- Zhou, Caizhi; Beyerlein, Irene J.; LeSar, Richard
- Acta Materialia, Vol. 59, Issue 20
Dislocation dynamics simulations of plasticity in polycrystalline thin films
journal, March 2012
- Zhou, Caizhi; LeSar, Richard
- International Journal of Plasticity, Vol. 30-31
Works referencing / citing this record:
Nanoscale imaging of the full strain tensor of specific dislocations extracted from a bulk sample
journal, January 2020
- Hofmann, Felix; Phillips, Nicholas W.; Das, Suchandrima
- Physical Review Materials, Vol. 4, Issue 1
Influence of hydrogen core force shielding on dislocation junctions in iron
journal, March 2020
- Yu, Haiyang; Katzarov, Ivaylo H.; Paxton, Anthony T.
- Physical Review Materials, Vol. 4, Issue 3
Nano-scale imaging of the full strain tensor of specific dislocations extracted from a bulk sample
text, January 2019
- Hofmann, Felix; Phillips, Nicholas W.; Das, Suchandrima
- arXiv