skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Numerical study of the stress state of a deformation twin in magnesium

Journal Article · · Acta Materialia
 [1];  [2];  [3];  [1];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Indian Institute of Technology Madras, Chennai (India)
  3. The Ohio State Univ., Columbus, OH (United States)

Here, we present a numerical study of the distribution of the local stress state associated with deformation twinning in Mg, both inside the twinned domain and in its immediate neighborhood, due to the accommodation of the twinning transformation shear. A full-field elastoviscoplastic formulation based on fast Fourier transformation is modified to include the shear transformation strain associated with deformation twinning. We performed two types of twinning transformation simulations with: (i) the twin completely embedded inside a single crystal and (ii) the twin front terminating at a grain boundary. We show that: (a) the resulting stress distribution is more strongly determined by the shear transformation than by the intragranular character of the twin or the orientation of the neighboring grain; (b) the resolved shear stress on the twin plane along the twin direction is inhomogeneous along the twin–parent interface; and (c) there are substantial differences in the average values of the shear stress in the twin and in the parent grain that contains the twin. We discuss the effect of these local stresses on twin propagation and growth, and the implications of our findings for the modeling of deformation twinning.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC52-06NA25396; FWP-06SCPE401
OSTI ID:
1227097
Alternate ID(s):
OSTI ID: 1250960
Report Number(s):
LA-UR-14-27756; PII: S135964541400812X
Journal Information:
Acta Materialia, Vol. 84, Issue C; ISSN 1359-6454
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 157 works
Citation information provided by
Web of Science

References (43)

An atomic and probabilistic perspective on twin nucleation in Mg journal October 2010
Twinning and De-twinning via Glide and Climb of Twinning Dislocations along Serrated Coherent Twin Boundaries in Hexagonal-close-packed Metals journal February 2013
Pure-Shuffle Nucleation of Deformation Twins in Hexagonal-Close-Packed Metals journal September 2013
Atomic structures of symmetric tilt grain boundaries in hexagonal close packed (hcp) crystals journal February 2012
A probabilistic twin nucleation model for HCP polycrystalline metals journal March 2010
Stochastic modeling of twin nucleation in polycrystals: An application in hexagonal close-packed metals journal May 2014
Reorientation and stress relaxation due to twinning: Modeling and experimental characterization for Mg journal June 2008
A constitutive model of twinning and detwinning for hexagonal close packed polycrystals journal October 2012
Nucleation and growth of twins in Zr: A statistical study journal December 2009
Statistical analyses of deformation twinning in magnesium journal May 2010
Effect of microstructure on the nucleation of deformation twins in polycrystalline high-purity magnesium: A multi-scale modeling study journal May 2011
Hardening evolution of AZ31B Mg sheet journal January 2007
The effects of texture and extension twinning on the low-cycle fatigue behavior of a rolled magnesium alloy, AZ31B journal October 2010
Relating inhomogeneous deformation to local texture in zirconium through grain-scale digital image correlation strain mapping experiments journal January 2012
Measurement of residual elastic strain and lattice rotations with high resolution electron backscatter diffraction journal July 2011
High resolution electron backscatter diffraction measurements of elastic strain variations in the presence of larger lattice rotations journal March 2012
On solving the orientation gradient dependency of high angular resolution EBSD journal February 2012
Quantification of strain and orientation measurement error in cross-correlation EBSD in hexagonal close-packed materials journal November 2012
A review of advances and challenges in EBSD strain mapping journal March 2014
Evolution of stress in individual grains and twins in a magnesium alloy aggregate journal July 2009
In Situ Characterization of Twin Nucleation in Pure Ti Using 3D-XRD journal November 2013
Modeling texture, twinning and hardening evolution during deformation of hexagonal materials journal April 2007
Spatially resolved in situ strain measurements from an interior twinned grain in bulk polycrystalline AZ31 alloy journal June 2013
Modeling the effect of twinning and detwinning during strain-path changes of magnesium alloy AZ31 journal May 2009
Multi-scale modeling and experimental study of twin inception and propagation in hexagonal close-packed materials using a crystal plasticity finite element approach—Part I: Average behavior journal March 2013
Multi-scale modeling and experimental study of twin inception and propagation in hexagonal close-packed materials using a crystal plasticity finite element approach; part II: Local behavior journal March 2013
The shape, configuration and stress field of twins and martensite plates journal July 1991
A numerical method for computing the overall response of nonlinear composites with complex microstructure journal April 1998
N-site modeling of a 3D viscoplastic polycrystal using Fast Fourier Transform journal August 2001
Elastic anisotropy and yield surface estimates of polycrystals journal August 2009
Orientation image-based micromechanical modelling of subgrain texture evolution in polycrystalline copper journal September 2008
Dilatational viscoplasticity of polycrystalline solids with intergranular cavities journal August 2011
Study of internal lattice strain distributions in stainless steel using a full-field elasto-viscoplastic formulation based on fast Fourier transforms journal April 2012
A spectral method solution to crystal elasto-viscoplasticity at finite strains journal July 2013
Prediction of internal stresses during growth of first- and second-generation twins in Mg and Mg alloys journal January 2012
Study of lattice strains in magnesium alloy AZ31 based on a large strain elastic-viscoplastic self-consistent polycrystal model journal August 2012
Three-dimensional investigation of grain boundary–twin interactions in a Mg AZ31 alloy by electron backscatter diffraction and continuum modeling journal December 2013
On the evolution and modelling of lattice strains during the cyclic loading of TWIP steel journal August 2013
A finite element model of deformation twinning in zirconium journal January 2008
Parametric study of stress state development during twinning using 3D finite element modeling journal March 2011
Internal strain and texture development during twinning: Comparing neutron diffraction measurements with crystal plasticity finite-element approaches journal March 2012
Incorporation of twinning into a crystal plasticity finite element model: Evolution of lattice strains and texture in Zircaloy-2 journal November 2011
Polycrystal Plasticity: Comparison Between Grain - Scale Observations of Deformation and Simulations journal March 2014

Cited By (12)

Mechanical Twinning is a Correlated Dynamic Process journal April 2019
Strength and ductility with {10͞11} — {10͞12} double twinning in a magnesium alloy journal April 2016
Nano-rolling: Roller Speed-Dependent Morphological Evolution and Mechanical Properties Enhancement in Nanoscale Mg journal July 2019
Grain neighbour effects on twin transmission in hexagonal close-packed materials journal December 2016
Grain size constraints on twin expansion in hexagonal close packed crystals journal October 2016
On the work hardening of titanium: new insights from nanoindentation journal February 2019
On the evolving nature of c/a ratio in a hexagonal close-packed epsilon martensite phase in transformative high entropy alloys journal September 2019
Quantitative analysis of {332}〈113〉 twinning in a Ti-15Mo alloy by in situ scanning electron microscopy journal June 2018
Strong grain neighbour effects in polycrystals journal January 2018
Modeling the effect of neighboring grains on twin growth in HCP polycrystals journal August 2017
Development of a new consistent discrete green operator for FFT-based methods to solve heterogeneous problems with eigenstrains journal May 2019
Deformation twinning and grain partitioning in a hexagonal close-packed magnesium alloy journal November 2018

Similar Records

Numerical study of the stress state of a deformation twin in magnesium
Journal Article · Sun Feb 01 00:00:00 EST 2015 · Acta Materialia · OSTI ID:1227097

Micromechanical Fields Associated with Irregular Deformation Twins in Magnesium
Journal Article · Mon Aug 15 00:00:00 EDT 2022 · Journal of Materials Engineering and Performance · OSTI ID:1227097

The effects of free surfaces on deformation twinning in HCP metals
Journal Article · Thu May 20 00:00:00 EDT 2021 · Materialia · OSTI ID:1227097