Micromechanical Fields Associated with Irregular Deformation Twins in Magnesium
Abstract
Understanding and controlling the development of deformation twins is paramount for engineering strong and stable hexagonal close-packed (HCP) Mg alloys. Actual twins are often irregular in boundary morphology and twin crystallography, deviating from the classical picture commonly used in theory and simulation. In this work, the elastic strains and stresses around irregular twins are examined both experimentally and computationally to gain insight into how twins develop and the microstructural features that influence their development. A nanoprecession electron diffraction (N-PED) technique is used to measure the elastic strains within and around a $$\left\{ {10\overline{1}2} \right\}$$ tensile twin in AZ31B Mg alloy with nm scale resolution. A full-field elasto-viscoplastic fast Fourier transform (EVP-FFT) crystal plasticity model of the same sub-grain and irregular twin structure is employed to understand and interpret the measured elastic strain fields. The calculations predict spatially resolved elastic strain fields in good agreement with the measurement, as well as all the stress components and the dislocation density fields generated by the twin, which are not easily obtainable from the experiment. The model calculations find that neighboring twins, several twin thicknesses apart, have little influence on the twin-tip micromechanical fields. Furthermore, this work reveals that irregularity in the twin-tip shape has a negligible effect on the development of the elastic strains around and inside the twin. Importantly, the major contributor to these micromechanical fields is the alignment of the twinning shear direction with the twin boundary.
- Authors:
-
- Univ. of California, Santa Barbara, CA (United States)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Univ. of Kentucky, Lexington, KY (United States)
- Johns Hopkins Univ., Baltimore, MD (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC). Office of Basic Energy Sciences (BES); National Science Foundation (NSF)
- OSTI Identifier:
- 1885751
- Report Number(s):
- LA-UR-22-29044
Journal ID: ISSN 1059-9495
- Grant/Contract Number:
- 89233218CNA000001; FWP 06SCPE401; MOM-2051390; DMR-1709865
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Materials Engineering and Performance
- Additional Journal Information:
- Journal Volume: 32; Journal Issue: 6; Journal ID: ISSN 1059-9495
- Publisher:
- Springer
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; crystal plasticity; deformation twin; local strain; magnesium; N-PED
Citation Formats
Leu, Brandon, Mariyappan, Arul Kumar, Rottmann, Paul F., Hemker, Kevin J., and Beyerlein, Irene J. Micromechanical Fields Associated with Irregular Deformation Twins in Magnesium. United States: N. p., 2022.
Web. doi:10.1007/s11665-022-07196-3.
Leu, Brandon, Mariyappan, Arul Kumar, Rottmann, Paul F., Hemker, Kevin J., & Beyerlein, Irene J. Micromechanical Fields Associated with Irregular Deformation Twins in Magnesium. United States. https://doi.org/10.1007/s11665-022-07196-3
Leu, Brandon, Mariyappan, Arul Kumar, Rottmann, Paul F., Hemker, Kevin J., and Beyerlein, Irene J. Mon .
"Micromechanical Fields Associated with Irregular Deformation Twins in Magnesium". United States. https://doi.org/10.1007/s11665-022-07196-3. https://www.osti.gov/servlets/purl/1885751.
@article{osti_1885751,
title = {Micromechanical Fields Associated with Irregular Deformation Twins in Magnesium},
author = {Leu, Brandon and Mariyappan, Arul Kumar and Rottmann, Paul F. and Hemker, Kevin J. and Beyerlein, Irene J.},
abstractNote = {Understanding and controlling the development of deformation twins is paramount for engineering strong and stable hexagonal close-packed (HCP) Mg alloys. Actual twins are often irregular in boundary morphology and twin crystallography, deviating from the classical picture commonly used in theory and simulation. In this work, the elastic strains and stresses around irregular twins are examined both experimentally and computationally to gain insight into how twins develop and the microstructural features that influence their development. A nanoprecession electron diffraction (N-PED) technique is used to measure the elastic strains within and around a $\left\{ {10\overline{1}2} \right\}$ tensile twin in AZ31B Mg alloy with nm scale resolution. A full-field elasto-viscoplastic fast Fourier transform (EVP-FFT) crystal plasticity model of the same sub-grain and irregular twin structure is employed to understand and interpret the measured elastic strain fields. The calculations predict spatially resolved elastic strain fields in good agreement with the measurement, as well as all the stress components and the dislocation density fields generated by the twin, which are not easily obtainable from the experiment. The model calculations find that neighboring twins, several twin thicknesses apart, have little influence on the twin-tip micromechanical fields. Furthermore, this work reveals that irregularity in the twin-tip shape has a negligible effect on the development of the elastic strains around and inside the twin. Importantly, the major contributor to these micromechanical fields is the alignment of the twinning shear direction with the twin boundary.},
doi = {10.1007/s11665-022-07196-3},
journal = {Journal of Materials Engineering and Performance},
number = 6,
volume = 32,
place = {United States},
year = {Mon Aug 15 00:00:00 EDT 2022},
month = {Mon Aug 15 00:00:00 EDT 2022}
}
Works referenced in this record:
Role of alloying elements on twin growth and twin transmission in magnesium alloys
journal, October 2017
- Arul Kumar, M.; Beyerlein, I. J.; Lebensohn, R. A.
- Materials Science and Engineering: A, Vol. 706
Structural interpretation of the nucleation and growth of deformation twins in Zr and Ti—II. Tem study of twin morphology and defect reactions during twinning
journal, June 1995
- Song, S. G.; Gray, G. T.
- Acta Metallurgica et Materialia, Vol. 43, Issue 6
Microstructure insensitive twinning: A statistical analysis of incipient twins in high-purity titanium
journal, June 2019
- Livescu, Veronica; Beyerlein, Irene J.; Bronkhorst, Curt A.
- Materialia, Vol. 6
Effect of microstructure on the nucleation of deformation twins in polycrystalline high-purity magnesium: A multi-scale modeling study
journal, May 2011
- Beyerlein, I. J.; McCabe, R. J.; Tomé, C. N.
- Journal of the Mechanics and Physics of Solids, Vol. 59, Issue 5
Structural characterization of {10<mml:math altimg="si12.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mover accent="true"><mml:mn>1</mml:mn><mml:mo stretchy="true">̅</mml:mo></mml:mover></mml:math>2} twin tip in deformed magnesium alloy
journal, December 2015
- Tu, J.; Zhang, X. Y.; Zhou, Z. M.
- Materials Characterization, Vol. 110
Numerical study of the stress state of a deformation twin in magnesium
journal, February 2015
- Arul Kumar, M.; Kanjarla, A. K.; Niezgoda, S. R.
- Acta Materialia, Vol. 84
Spatially resolved in situ strain measurements from an interior twinned grain in bulk polycrystalline AZ31 alloy
journal, June 2013
- Balogh, L.; Niezgoda, S. R.; Kanjarla, A. K.
- Acta Materialia, Vol. 61, Issue 10
Atomic-level study of twin nucleation from face-centered-cubic/body-centered-cubic interfaces in nanolamellar composites
journal, January 2012
- Han, W. Z.; Carpenter, J. S.; Wang, J.
- Applied Physics Letters, Vol. 100, Issue 1
Interface structures and twinning mechanisms of twins in hexagonal metals
journal, June 2017
- Gong, Mingyu; Hirth, John P.; Liu, Yue
- Materials Research Letters, Vol. 5, Issue 7
Formation and stability of long basal-prismatic facets in Mg
journal, February 2020
- Dang, Khanh; Wang, Shujuan; Gong, Mingyu
- Acta Materialia, Vol. 185
The accommodation around {101̄2} 〈1̄011〉 twins in magnesium
journal, April 1966
- Roberts, E.; Partridge, P. G.
- Acta Metallurgica, Vol. 14, Issue 4
Disconnection-mediated twin embryo growth in Mg
journal, August 2020
- Hu, Yang; Turlo, Vladyslav; Beyerlein, Irene J.
- Acta Materialia, Vol. 194
Local microstructure and micromechanical stress evolution during deformation twinning in hexagonal polycrystals
journal, February 2020
- Kumar, Mariyappan Arul; Beyerlein, Irene J.
- Journal of Materials Research, Vol. 35, Issue 3
Local Stress States and Microstructural Damage Response Associated with Deformation Twins in Hexagonal Close Packed Metals
journal, December 2017
- Basu, Indranil; Fidder, Herman; Ocelík, Václav
- Crystals, Vol. 8, Issue 1
Stress and strain relaxation in magnesium AZ31 rolled plate: In-situ neutron measurement and elastic viscoplastic polycrystal modeling
journal, April 2016
- Wang, H.; Clausen, B.; Capolungo, L.
- International Journal of Plasticity, Vol. 79
From Dislocation Junctions to Forest Hardening
journal, December 2002
- Madec, R.; Devincre, B.; Kubin, L. P.
- Physical Review Letters, Vol. 89, Issue 25
Statistical analyses of deformation twinning in magnesium
journal, May 2010
- Beyerlein, I. J.; Capolungo, L.; Marshall, P. E.
- Philosophical Magazine, Vol. 90, Issue 16
Reactions of lattice dislocations with grain boundaries in Mg: Implications on the micro scale from atomic-scale calculations
journal, May 2014
- Wang, J.; Beyerlein, I. J.; Tomé, C. N.
- International Journal of Plasticity, Vol. 56
Twin formation from a twin boundary in Mg during in-situ nanomechanical testing
journal, June 2019
- Jiang, Lin; Kumar, M. Arul; Beyerlein, Irene J.
- Materials Science and Engineering: A, Vol. 759
Deformation twinning and grain partitioning in a hexagonal close-packed magnesium alloy
journal, November 2018
- Arul Kumar, M.; Clausen, B.; Capolungo, L.
- Nature Communications, Vol. 9, Issue 1
Twinning and De-twinning via Glide and Climb of Twinning Dislocations along Serrated Coherent Twin Boundaries in Hexagonal-close-packed Metals
journal, February 2013
- Wang, J.; Liu, L.; Tomé, C. N.
- Materials Research Letters, Vol. 1, Issue 2
Evolution of stress in individual grains and twins in a magnesium alloy aggregate
journal, July 2009
- Aydıner, C. C.; Bernier, J. V.; Clausen, B.
- Physical Review B, Vol. 80, Issue 2
Slip-assisted twin growth in hexagonal close-packed metals
journal, January 2009
- Capolungo, L.; Beyerlein, I. J.; Tomé, C. N.
- Scripta Materialia, Vol. 60, Issue 1
Deformation twinning
journal, January 1995
- Christian, J. W.; Mahajan, S.
- Progress in Materials Science, Vol. 39, Issue 1-2
Multislip in f.c.c. crystals a theoretical approach compared with experimental data
journal, August 1982
- Franciosi, P.; Zaoui, A.
- Acta Metallurgica, Vol. 30, Issue 8
Nanoscale elastic strain mapping of polycrystalline materials
journal, February 2018
- Rottmann, Paul F.; Hemker, Kevin J.
- Materials Research Letters, Vol. 6, Issue 4
An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials
journal, May 2012
- Lebensohn, Ricardo A.; Kanjarla, Anand K.; Eisenlohr, Philip
- International Journal of Plasticity, Vol. 32-33
Effect of age hardening on the deformation behavior of an Mg–Y–Nd alloy: In-situ X-ray diffraction and crystal plasticity modeling
journal, March 2015
- Lentz, Martin; Klaus, Manuela; Wagner, Michael
- Materials Science and Engineering: A, Vol. 628
Accommodation around {101} twins in titanium
journal, October 1985
- Minonishi, Y.; Morozumi, S.; Yoshinaga, H.
- Scripta Metallurgica, Vol. 19, Issue 10
Role of local stresses on co-zone twin-twin junction formation in HCP magnesium
journal, April 2019
- Arul Kumar, M.; Gong, M.; Beyerlein, I. J.
- Acta Materialia, Vol. 168
Role of Deformation Twinning on Strain Hardening in Cubic and Hexagonal Polycrystalline Metals
journal, April 2003
- Kalidindi, S. R.; Salem, A. A.; Doherty, R. D.
- Advanced Engineering Materials, Vol. 5, Issue 4
Coupled microstructural observations and local texture measurements with an automated crystallographic orientation mapping tool attached to a tem
journal, October 2005
- Rauch, E. F.; Veron, M.
- Materialwissenschaft und Werkstofftechnik, Vol. 36, Issue 10, p. 552-556
Structural characteristics of non-cozone twin-twin interactions in magnesium
journal, October 2018
- Gong, Mingyu; Xu, Shun; Jiang, Yanyao
- Acta Materialia, Vol. 159
Effect of „Forest” Dislocations in the {1122} 〈1123〉 system on hardening in Mg single crystals under basal slip
journal, November 1975
- Lavrentev, F. F.; Pokhil, Yu. A.
- Physica Status Solidi (a), Vol. 32, Issue 1
Deformation twinning in h.c.p. metals and alloys
journal, May 1991
- Yoo, M. H.; Lee, J. K.
- Philosophical Magazine A, Vol. 63, Issue 5
Pure-Shuffle Nucleation of Deformation Twins in Hexagonal-Close-Packed Metals
journal, September 2013
- Wang, J.; Yadav, S. K.; Hirth, J. P.
- Materials Research Letters, Vol. 1, Issue 3
The effects of free surfaces on deformation twinning in HCP metals
journal, June 2021
- Leu, B.; Arul Kumar, M.; Beyerlein, I. J.
- Materialia, Vol. 17
Deformation twin interactions with grain boundary particles in multi-phase magnesium alloys
journal, October 2021
- Anthony, B.; Leu, B.; Beyerlein, I. J.
- Acta Materialia, Vol. 219
A dislocation-based constitutive law for pure Zr including temperature effects
journal, May 2008
- Beyerlein, I. J.; Tomé, C. N.
- International Journal of Plasticity, Vol. 24, Issue 5
Twinning disconnections and basal–prismatic twin boundary in magnesium
journal, January 2014
- Ostapovets, A.; Gröger, R.
- Modelling and Simulation in Materials Science and Engineering, Vol. 22, Issue 2
Nano-scale Elastic Strain Maps of Twins in Magnesium Alloys
journal, August 2018
- Ma, Luoning; Rottmann, Paul F.; Xie, Kelvin
- Microscopy and Microanalysis, Vol. 24, Issue S1
Accommodation and formation of twins in Mg-Y alloys
journal, February 2021
- Yaddanapudi, Krishna; Leu, Brandon; Kumar, M. Arul
- Acta Materialia, Vol. 204
Characterizing the role of adjoining twins at grain boundaries in hexagonal close packed materials
journal, March 2019
- Arul Kumar, M.; Capolungo, L.; McCabe, R. J.
- Scientific Reports, Vol. 9, Issue 1
Quantifying elastic strain near coherent twin interface in magnesium with nanometric resolution
journal, February 2020
- Chen, J. S.; Liu, Y.; McCabe, R. J.
- Materials Characterization, Vol. 160