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.
Feng, Biao, et al. "Three-dimensional modeling and simulations of single-crystal and bi-crystal titanium for high-strain-rate loading conditions." International Journal of Plasticity, vol. 133, May. 2020. https://doi.org/10.1016/j.ijplas.2020.102771
Feng, Biao, Bronkhorst, Curt Allan, Liu, Z., Morrow, Benjamin Mark, Li, W.H., & Daphalapurkar, Nitin (2020). Three-dimensional modeling and simulations of single-crystal and bi-crystal titanium for high-strain-rate loading conditions. International Journal of Plasticity, 133. https://doi.org/10.1016/j.ijplas.2020.102771
Feng, Biao, Bronkhorst, Curt Allan, Liu, Z., et al., "Three-dimensional modeling and simulations of single-crystal and bi-crystal titanium for high-strain-rate loading conditions," International Journal of Plasticity 133 (2020), https://doi.org/10.1016/j.ijplas.2020.102771
@article{osti_1631576,
author = {Feng, Biao and Bronkhorst, Curt Allan and Liu, Z. and Morrow, Benjamin Mark and Li, W.H. and Daphalapurkar, Nitin},
title = {Three-dimensional modeling and simulations of single-crystal and bi-crystal titanium for high-strain-rate loading conditions},
annote = {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},
url = {https://www.osti.gov/biblio/1631576},
journal = {International Journal of Plasticity},
issn = {ISSN 0749-6419},
volume = {133},
place = {United States},
publisher = {Elsevier},
year = {2020},
month = {05}}
SHOCK COMPRESSION OF CONDENSED MATTER - 2003: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedingshttps://doi.org/10.1063/1.1780218
SHOCK COMPRESSION OF CONDENSED MATTER - 2005: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedingshttps://doi.org/10.1063/1.2263526
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