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:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Indian Institute of Technology Madras, Chennai (India)
- 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:
- 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. Wed .
"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},
journal = {Acta Materialia},
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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Mechanical Twinning is a Correlated Dynamic Process
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