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Title: Three-dimensional modeling and simulations of single-crystal and bi-crystal titanium for high-strain-rate loading conditions

Abstract

High purity single crystal titanium (Ti) under shock wave loading is modeled under both one-dimensional and three-dimensional cylindrical conditions. Cylinder sizes of 10 μm and 20 μm radius are both considered in order to assess influence of boundary conditions. A thermodynamically consistent single crystal model for application to shock conditions is presented. The model accounts for the coupled non-linear elastic, dislocation slip, deformation twinning, and structural phase transformation response of the titanium material. Plate impact experiment results using a copper flyer are used to compare against the simulations for crystals oriented in [0001] and [10$$\overline1$$1] crystallographic directions. The one-dimensional and threedimensional simulations of the two differently oriented single crystals indicate differences between the one-dimensional and three-dimensional representation, especially for the [10$$\overline1$$1] oriented single crystal. This orientation breaks the relative orientation symmetry between the crystal and cylinder which otherwise exists for the [0001] oriented single crystal. A significant amount of heterogeneity in the field response of the[10$$\overline1$$1] oriented simulation was demonstrated due to the highly coupled nature of the deformation. A bi-crystal model composed of both the [0001] and [10$$\overline1$$1] orientations with the boundary between the two along the axis of the cylinder is also considered for a cylinder model size of 10 μm. The results indicate a strong interaction between the two grains that affects the ω phase volume fraction achieved relative to the single crystal calculations.

Authors:
ORCiD logo [1];  [2];  [3]; ORCiD logo [1];  [1]; ORCiD logo [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Wisconsin, Madison, WI (United States)
  3. Technical Univ. of Darmstadt (Germany)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1631576
Alternate Identifier(s):
OSTI ID: 1811035
Report Number(s):
LA-UR-20-22069
Journal ID: ISSN 0749-6419
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Accepted Manuscript
Journal Name:
International Journal of Plasticity
Additional Journal Information:
Journal Volume: 133; Journal ID: ISSN 0749-6419
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Feng, Biao, Bronkhorst, Curt Allan, Liu, Z., Morrow, Benjamin Mark, Li, W.H., and Daphalapurkar, Nitin. Three-dimensional modeling and simulations of single-crystal and bi-crystal titanium for high-strain-rate loading conditions. United States: N. p., 2020. Web. https://doi.org/10.1016/j.ijplas.2020.102771.
Feng, Biao, Bronkhorst, Curt Allan, Liu, Z., Morrow, Benjamin Mark, Li, W.H., & Daphalapurkar, Nitin. Three-dimensional modeling and simulations of single-crystal and bi-crystal titanium for high-strain-rate loading conditions. United States. https://doi.org/10.1016/j.ijplas.2020.102771
Feng, Biao, Bronkhorst, Curt Allan, Liu, Z., Morrow, Benjamin Mark, Li, W.H., and Daphalapurkar, Nitin. Wed . "Three-dimensional modeling and simulations of single-crystal and bi-crystal titanium for high-strain-rate loading conditions". United States. https://doi.org/10.1016/j.ijplas.2020.102771. https://www.osti.gov/servlets/purl/1631576.
@article{osti_1631576,
title = {Three-dimensional modeling and simulations of single-crystal and bi-crystal titanium for high-strain-rate loading conditions},
author = {Feng, Biao and Bronkhorst, Curt Allan and Liu, Z. and Morrow, Benjamin Mark and Li, W.H. and Daphalapurkar, Nitin},
abstractNote = {High purity single crystal titanium (Ti) under shock wave loading is modeled under both one-dimensional and three-dimensional cylindrical conditions. Cylinder sizes of 10 μm and 20 μm radius are both considered in order to assess influence of boundary conditions. A thermodynamically consistent single crystal model for application to shock conditions is presented. The model accounts for the coupled non-linear elastic, dislocation slip, deformation twinning, and structural phase transformation response of the titanium material. Plate impact experiment results using a copper flyer are used to compare against the simulations for crystals oriented in [0001] and [10$\overline1$1] crystallographic directions. The one-dimensional and threedimensional simulations of the two differently oriented single crystals indicate differences between the one-dimensional and three-dimensional representation, especially for the [10$\overline1$1] oriented single crystal. This orientation breaks the relative orientation symmetry between the crystal and cylinder which otherwise exists for the [0001] oriented single crystal. A significant amount of heterogeneity in the field response of the[10$\overline1$1] oriented simulation was demonstrated due to the highly coupled nature of the deformation. A bi-crystal model composed of both the [0001] and [10$\overline1$1] orientations with the boundary between the two along the axis of the cylinder is also considered for a cylinder model size of 10 μm. The results indicate a strong interaction between the two grains that affects the ω phase volume fraction achieved relative to the single crystal calculations.},
doi = {10.1016/j.ijplas.2020.102771},
journal = {International Journal of Plasticity},
number = ,
volume = 133,
place = {United States},
year = {2020},
month = {5}
}

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