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}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 5 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
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