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Title: Grain size constraints on twin expansion in hexagonal close packed crystals

Abstract

Deformation twins are stress-induced transformed domains of lamellar shape that form when polycrystalline hexagonal close packed metals, like Mg, are strained. Several studies have reported that the propensity of deformation twinning reduces as grain size decreases. Here, we use a 3D crystal plasticity based micromechanics model to calculate the effect of grain size on the driving forces responsible for expanding twin lamellae. The calculations reveal that constraints from the neighboring grain where the grain boundary and twin lamella meet induce a stress reversal in the twin lamella. A pronounced grain size effect arises as reductions in grain size cause these stress-reversal fields from twin/grain boundary junctions to affect twin growth. We further show that the severity of this neighboring grain constraint depends on the crystallographic orientation and plastic response of the neighboring grain. We show that these stress-reversal fields from twin/grain boundary junctions will affect twin growth, below a critical parent grain size. Finally, these results reveal an unconventional yet influential role that grain size and grain neighbors can play on deformation twinning.

Authors:
 [1];  [1];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC). Basic Energy Sciences (BES) (SC-22); USDOE
OSTI Identifier:
1343711
Alternate Identifier(s):
OSTI ID: 1329441
Report Number(s):
LA-UR-16-24576
Journal ID: ISSN 0021-8979; TRN: US1701355
Grant/Contract Number:  
AC52-06NA25396; FWP 06SCPE401
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Applied Physics
Additional Journal Information:
Journal Volume: 120; Journal Issue: 15; Journal ID: ISSN 0021-8979
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Kumar, Mariyappan Arul, Beyerlein, Irene Jane, and Tome, Carlos N. Grain size constraints on twin expansion in hexagonal close packed crystals. United States: N. p., 2016. Web. doi:10.1063/1.4965719.
Kumar, Mariyappan Arul, Beyerlein, Irene Jane, & Tome, Carlos N. Grain size constraints on twin expansion in hexagonal close packed crystals. United States. doi:10.1063/1.4965719.
Kumar, Mariyappan Arul, Beyerlein, Irene Jane, and Tome, Carlos N. Thu . "Grain size constraints on twin expansion in hexagonal close packed crystals". United States. doi:10.1063/1.4965719. https://www.osti.gov/servlets/purl/1343711.
@article{osti_1343711,
title = {Grain size constraints on twin expansion in hexagonal close packed crystals},
author = {Kumar, Mariyappan Arul and Beyerlein, Irene Jane and Tome, Carlos N.},
abstractNote = {Deformation twins are stress-induced transformed domains of lamellar shape that form when polycrystalline hexagonal close packed metals, like Mg, are strained. Several studies have reported that the propensity of deformation twinning reduces as grain size decreases. Here, we use a 3D crystal plasticity based micromechanics model to calculate the effect of grain size on the driving forces responsible for expanding twin lamellae. The calculations reveal that constraints from the neighboring grain where the grain boundary and twin lamella meet induce a stress reversal in the twin lamella. A pronounced grain size effect arises as reductions in grain size cause these stress-reversal fields from twin/grain boundary junctions to affect twin growth. We further show that the severity of this neighboring grain constraint depends on the crystallographic orientation and plastic response of the neighboring grain. We show that these stress-reversal fields from twin/grain boundary junctions will affect twin growth, below a critical parent grain size. Finally, these results reveal an unconventional yet influential role that grain size and grain neighbors can play on deformation twinning.},
doi = {10.1063/1.4965719},
journal = {Journal of Applied Physics},
number = 15,
volume = 120,
place = {United States},
year = {2016},
month = {10}
}

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Works referenced in this record:

Grain Size Effects on Primary, Secondary, and Tertiary Twin Development in Mg-4 wt pct Li (-1 wt pct Al) Alloys
journal, August 2014

  • Lentz, Martin; Behringer, Andreas; Fahrenson, Christoph
  • Metallurgical and Materials Transactions A, Vol. 45, Issue 11
  • DOI: 10.1007/s11661-014-2491-y

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
  • DOI: 10.1016/j.jmps.2011.02.007

Numerical study of the stress state of a deformation twin in magnesium
journal, February 2015


Spatially resolved in situ strain measurements from an interior twinned grain in bulk polycrystalline AZ31 alloy
journal, June 2013


Dislocations in interfaces in the h.c.p. metals—I. Defects formed by absorption of crystal dislocations
journal, March 1999


The effect of grain size on deformation twinning in a textured zinc alloy
journal, August 1983

  • Ecob, Nicola; Ralph, Brian
  • Journal of Materials Science, Vol. 18, Issue 8
  • DOI: 10.1007/BF00541848

Influence of texture on Hall–Petch relationships in an Mg alloy
journal, December 2014


Nucleation and propagation of { 1 0 1 ¯ 2 } twins in AZ31 magnesium alloy
journal, November 2015


Stochastic modeling of twin nucleation in polycrystals: An application in hexagonal close-packed metals
journal, May 2014

  • Niezgoda, Stephen R.; Kanjarla, Anand K.; Beyerlein, Irene J.
  • International Journal of Plasticity, Vol. 56
  • DOI: 10.1016/j.ijplas.2013.11.005

The role of strain accommodation during the variant selection of primary twins in magnesium
journal, March 2011


Effects of interstitial content and grain size on the strength of titanium at low temperatures
journal, August 1973


Slip-assisted twin growth in hexagonal close-packed metals
journal, January 2009


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
  • DOI: 10.1016/j.ijplas.2011.12.005

A new model for {10 1 2} twin growth in hcp metals
journal, February 1996


Deformation microstructures and textures of some cold rolled Mg alloys
journal, November 2004


Deformation twinning in h.c.p. metals and alloys
journal, May 1991


A rationale for the strong dependence of mechanical twinning on grain size
journal, October 2008


The crystallography and deformation modes of hexagonal close-packed metals
journal, January 1967


In-Situ TEM Observation of Twinning and Detwinning During Cyclic Loading in Mg
journal, April 2013

  • Morrow, Benjamin M.; McCabe, Rodney J.; Cerreta, Ellen K.
  • Metallurgical and Materials Transactions A, Vol. 45, Issue 1
  • DOI: 10.1007/s11661-013-1765-0

Comment on “Atomic Shuffling Dominated Mechanism For Deformation Twinning In Magnesium”
journal, January 2010


Grain size effects on deformation twinning in an extruded magnesium alloy tested in compression
journal, September 2011


Non-basal slip systems in HCP metals and alloys: source mechanisms
journal, December 2001


Effects of texture, temperature and strain on the deformation modes of zirconium
journal, August 2006


Grain size effects on dislocation and twinning mediated plasticity in magnesium
journal, February 2016


Yield point elongation due to twinning in a magnesium alloy
journal, February 2012


Quantitative analysis of deformation twinning in zirconium
journal, March 2009

  • McCabe, Rodney J.; Proust, Gwénaëlle; Cerreta, Ellen K.
  • International Journal of Plasticity, Vol. 25, Issue 3
  • DOI: 10.1016/j.ijplas.2008.03.010

A microstructure based analytical model for tensile twinning in a rod textured Mg alloy
journal, September 2015


The plastic deformation of polycrystalline aggregates
journal, January 1962

  • Armstrong, R.; Codd, I.; Douthwaite, R. M.
  • The Philosophical Magazine: A Journal of Theoretical Experimental and Applied Physics, Vol. 7, Issue 73
  • DOI: 10.1080/14786436208201857

Structural characterization of { 1 0 1 ¯ 3 } twin boundaries in deformed cobalt
journal, November 2015


Plastic deformation of zirconium single crystals
journal, July 1971


Statistical analyses of deformation twinning in magnesium
journal, May 2010


Study of slip mechanisms in a magnesium alloy by neutron diffraction and modeling
journal, April 2003


Sensitivity of deformation twinning to grain size in titanium and magnesium
journal, December 2011


Evolution of stress in individual grains and twins in a magnesium alloy aggregate
journal, July 2009


Role of twinning in the hardening response of zirconium during temperature reloads
journal, June 2006


Deformation twinning
journal, January 1995


Modeling texture, twinning and hardening evolution during deformation of hexagonal materials
journal, April 2007


In situ TEM compression testing of Mg and Mg–0.2wt.% Ce single crystals
journal, February 2011


Influence of grain size on the compressive deformation of wrought Mg–3Al–1Zn
journal, October 2004


Variability in EBSD statistics for textured zirconium
journal, July 2013


Explicit incorporation of deformation twins into crystal plasticity finite element models
journal, October 2015

  • Ardeljan, Milan; McCabe, Rodney J.; Beyerlein, Irene J.
  • Computer Methods in Applied Mechanics and Engineering, Vol. 295
  • DOI: 10.1016/j.cma.2015.07.003

Twin Nucleation by Slip Transfer across Grain Boundaries in Commercial Purity Titanium
journal, November 2009

  • Wang, L.; Yang, Y.; Eisenlohr, P.
  • Metallurgical and Materials Transactions A, Vol. 41, Issue 2
  • DOI: 10.1007/s11661-009-0097-6

Slip, twinning, and fracture in hexagonal close-packed metals
journal, March 1981


Pure-Shuffle Nucleation of Deformation Twins in Hexagonal-Close-Packed Metals
journal, September 2013


Interfacial structure of { 1 0 1 2 } twin tip in deformed magnesium alloy
journal, November 2014


A dislocation-based constitutive law for pure Zr including temperature effects
journal, May 2008


Nucleation and growth of twins in Zr: A statistical study
journal, December 2009


Growth Twins and Deformation Twins in Metals
journal, July 2014


EBSD-Assisted Slip Trace Analysis During In Situ SEM Mechanical Testing: Application to Unravel Grain Size Effects on Plasticity of Pure Mg Polycrystals
journal, July 2015


An atomic and probabilistic perspective on twin nucleation in Mg
journal, October 2010


Grain size effects on the tensile properties and deformation mechanisms of a magnesium alloy, AZ31B, sheet
journal, July 2008