Coupled elasticity, plastic slip, and twinning in single crystal titanium loaded by split-Hopkinson pressure bar
Abstract
Here coupled elasticity, plastic slip, and twinning in high-purity single crystal titanium loaded by split-Hopkinson pressure bar (SHPB) are investigated, in the framework of large deformation and by utilizing the finite element method (FEM). A thermodynamically consistent system of equations for combined plastic slip and twinning is formulated. Novel kinematics is proposed to develop the driving forces for slip and twinning processes and to consider plastic slip in twins. Dislocation based crystal plasticity is proposed, with an emphasis on the interactions among all slip modes in multi-variant/multiphase heterogeneous materials. A mechanism for dislocation density evolution during twinning is proposed. The impact loading along the [0001] and [1$$0\bar{1}$$1] directions of single crystal high purity titanium is investigated. The evolution of stress-strain field, dislocation density, and volume fraction for each variant in the sample during the entire loading process are obtained and discussed in detail. Results in simulations show that for the [0001] specimen due to the existence of six symmetry primary twin variants with respect to the loading direction and fifteen different slip systems in each variant, the fields of stress and dislocation density are very homogenous in the sample. The simulation results are compared with experimental data for the [0001] and [1$$0\bar{1}$$1] specimens. The experimental results are explained and interpreted for both specimens, which include the pole figures, the stress-strain curves, and volume fraction of variants. The simulation results provide an important insight into mechanical responses of high-purity single crystal titanium under high rate loading, and this paper advances the mesoscale modeling and simulations in coupled plastic slip and twinning.
- Authors:
-
[1];
[1];
[1];
[1];
[1];
[1];
[1];
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- The Ohio State Univ., Columbus, OH (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
- OSTI Identifier:
- 1459822
- Alternate Identifier(s):
- OSTI ID: 1712835
- Report Number(s):
- LA-UR-17-30152
Journal ID: ISSN 0022-5096
- Grant/Contract Number:
- AC52-06NA25396; 20150431ER
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of the Mechanics and Physics of Solids
- Additional Journal Information:
- Journal Volume: 119; Journal Issue: C; Journal ID: ISSN 0022-5096
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; 97 MATHEMATICS AND COMPUTING; Dislocation based crystal plasticity; Deformation twinning; Large deformation; High strain rate loading
Citation Formats
Feng, B., Bronkhorst, C. A., Addessio, F. L., Morrow, B. M., Cerreta, E. K., Lookman, T., Lebensohn, R. A., and Low, T. Coupled elasticity, plastic slip, and twinning in single crystal titanium loaded by split-Hopkinson pressure bar. United States: N. p., 2018.
Web. doi:10.1016/j.jmps.2018.06.018.
Feng, B., Bronkhorst, C. A., Addessio, F. L., Morrow, B. M., Cerreta, E. K., Lookman, T., Lebensohn, R. A., & Low, T. Coupled elasticity, plastic slip, and twinning in single crystal titanium loaded by split-Hopkinson pressure bar. United States. https://doi.org/10.1016/j.jmps.2018.06.018
Feng, B., Bronkhorst, C. A., Addessio, F. L., Morrow, B. M., Cerreta, E. K., Lookman, T., Lebensohn, R. A., and Low, T. Mon .
"Coupled elasticity, plastic slip, and twinning in single crystal titanium loaded by split-Hopkinson pressure bar". United States. https://doi.org/10.1016/j.jmps.2018.06.018. https://www.osti.gov/servlets/purl/1459822.
@article{osti_1459822,
title = {Coupled elasticity, plastic slip, and twinning in single crystal titanium loaded by split-Hopkinson pressure bar},
author = {Feng, B. and Bronkhorst, C. A. and Addessio, F. L. and Morrow, B. M. and Cerreta, E. K. and Lookman, T. and Lebensohn, R. A. and Low, T.},
abstractNote = {Here coupled elasticity, plastic slip, and twinning in high-purity single crystal titanium loaded by split-Hopkinson pressure bar (SHPB) are investigated, in the framework of large deformation and by utilizing the finite element method (FEM). A thermodynamically consistent system of equations for combined plastic slip and twinning is formulated. Novel kinematics is proposed to develop the driving forces for slip and twinning processes and to consider plastic slip in twins. Dislocation based crystal plasticity is proposed, with an emphasis on the interactions among all slip modes in multi-variant/multiphase heterogeneous materials. A mechanism for dislocation density evolution during twinning is proposed. The impact loading along the [0001] and [1$0\bar{1}$1] directions of single crystal high purity titanium is investigated. The evolution of stress-strain field, dislocation density, and volume fraction for each variant in the sample during the entire loading process are obtained and discussed in detail. Results in simulations show that for the [0001] specimen due to the existence of six symmetry primary twin variants with respect to the loading direction and fifteen different slip systems in each variant, the fields of stress and dislocation density are very homogenous in the sample. The simulation results are compared with experimental data for the [0001] and [1$0\bar{1}$1] specimens. The experimental results are explained and interpreted for both specimens, which include the pole figures, the stress-strain curves, and volume fraction of variants. The simulation results provide an important insight into mechanical responses of high-purity single crystal titanium under high rate loading, and this paper advances the mesoscale modeling and simulations in coupled plastic slip and twinning.},
doi = {10.1016/j.jmps.2018.06.018},
journal = {Journal of the Mechanics and Physics of Solids},
number = C,
volume = 119,
place = {United States},
year = {2018},
month = {7}
}
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