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

Abstract

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.

Authors:
 [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)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1227097
Alternate Identifier(s):
OSTI ID: 1250960
Report Number(s):
LA-UR-14-27756
Journal ID: ISSN 1359-6454; PII: S135964541400812X
Grant/Contract Number:  
AC52-06NA25396; FWP-06SCPE401
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Acta Materialia
Additional Journal Information:
Journal Volume: 84; Journal Issue: C; Journal ID: ISSN 1359-6454
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; 36 MATERIALS SCIENCE; Deformation twinning; HCP materials; Twinning shear transformation; Crystal plasticity; Local stress distribution

Citation Formats

Arul Kumar, M., Kanjarla, A. K., Niezgoda, S. R., Lebensohn, R. A., and Tomé, C. N. Numerical study of the stress state of a deformation twin in magnesium. United States: N. p., 2014. Web. doi:10.1016/j.actamat.2014.10.048.
Arul Kumar, M., Kanjarla, A. K., Niezgoda, S. R., Lebensohn, R. A., & Tomé, C. N. Numerical study of the stress state of a deformation twin in magnesium. United States. https://doi.org/10.1016/j.actamat.2014.10.048
Arul Kumar, M., Kanjarla, A. K., Niezgoda, S. R., Lebensohn, R. A., and Tomé, C. N. 2014. "Numerical study of the stress state of a deformation twin in magnesium". United States. https://doi.org/10.1016/j.actamat.2014.10.048. https://www.osti.gov/servlets/purl/1227097.
@article{osti_1227097,
title = {Numerical study of the stress state of a deformation twin in magnesium},
author = {Arul Kumar, M. and Kanjarla, A. K. and Niezgoda, S. R. and Lebensohn, R. A. and Tomé, C. N.},
abstractNote = {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.},
doi = {10.1016/j.actamat.2014.10.048},
url = {https://www.osti.gov/biblio/1227097}, journal = {Acta Materialia},
issn = {1359-6454},
number = C,
volume = 84,
place = {United States},
year = {Wed Nov 26 00:00:00 EST 2014},
month = {Wed Nov 26 00:00:00 EST 2014}
}

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Cited by: 157 works
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Works referenced in this record:

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Works referencing / citing this record:

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


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


Mechanical Twinning is a Correlated Dynamic Process
journal, April 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