A dislocation density-based continuum model of the anisotropic shock response of single crystal α-cyclotrimethylene trinitramine
Abstract
Here, we have developed a model for the finite deformation thermomechanical response of α-cyclotrimethylene trinitramine (RDX). Our model accounts for nonlinear thermoelastic lattice deformation through a free energy-based equation of state developed by Cawkwell et al. (2016) in combination with temperature and pressure dependent elastic constants, as well as dislocation-mediated plastic slip on a set of slip systems motivated by experimental observation. The kinetics of crystal plasticity are modeled using the Orowan equation relating slip rate to dislocation density and the dislocation velocity developed by Austin and McDowell (2011), which naturally accounts for transition from thermally activated to dislocation drag limited regimes. Evolution of dislocation density is specified in terms of local ordinary differential equations reflecting dislocation–dislocation interactions. This paper presents details of the theory and parameterization of the model, followed by discussion of simulations of flyer plate impact experiments. Impact conditions explored within this combined simulation and experimental effort span shock pressures ranging from 1 to 3 GPa for four crystallographic orientations and multiple specimen thicknesses. Simulation results generated using this model are shown to be in strong agreement with velocimetry measurements from the corresponding plate impact experiments. Finally, simulation results are used to motivate conclusions about the naturemore »
- Authors:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Laboratory Directed Research and Development (LDRD) Program
- OSTI Identifier:
- 1329599
- Alternate Identifier(s):
- OSTI ID: 1359373
- Report Number(s):
- LA-UR-16-24506
Journal ID: ISSN 0022-5096
- Grant/Contract Number:
- AC52-06NA25396; ER20140643
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of the Mechanics and Physics of Solids
- Additional Journal Information:
- Journal Volume: 98; Journal Issue: C; Journal ID: ISSN 0022-5096
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; crystal plasticity dislocations RDX shock loading
Citation Formats
Luscher, Darby Jon, Addessio, Francis L., Cawkwell, Marc Jon, and Ramos, Kyle James. A dislocation density-based continuum model of the anisotropic shock response of single crystal α-cyclotrimethylene trinitramine. United States: N. p., 2017.
Web. doi:10.1016/j.jmps.2016.09.005.
Luscher, Darby Jon, Addessio, Francis L., Cawkwell, Marc Jon, & Ramos, Kyle James. A dislocation density-based continuum model of the anisotropic shock response of single crystal α-cyclotrimethylene trinitramine. United States. https://doi.org/10.1016/j.jmps.2016.09.005
Luscher, Darby Jon, Addessio, Francis L., Cawkwell, Marc Jon, and Ramos, Kyle James. Sun .
"A dislocation density-based continuum model of the anisotropic shock response of single crystal α-cyclotrimethylene trinitramine". United States. https://doi.org/10.1016/j.jmps.2016.09.005. https://www.osti.gov/servlets/purl/1329599.
@article{osti_1329599,
title = {A dislocation density-based continuum model of the anisotropic shock response of single crystal α-cyclotrimethylene trinitramine},
author = {Luscher, Darby Jon and Addessio, Francis L. and Cawkwell, Marc Jon and Ramos, Kyle James},
abstractNote = {Here, we have developed a model for the finite deformation thermomechanical response of α-cyclotrimethylene trinitramine (RDX). Our model accounts for nonlinear thermoelastic lattice deformation through a free energy-based equation of state developed by Cawkwell et al. (2016) in combination with temperature and pressure dependent elastic constants, as well as dislocation-mediated plastic slip on a set of slip systems motivated by experimental observation. The kinetics of crystal plasticity are modeled using the Orowan equation relating slip rate to dislocation density and the dislocation velocity developed by Austin and McDowell (2011), which naturally accounts for transition from thermally activated to dislocation drag limited regimes. Evolution of dislocation density is specified in terms of local ordinary differential equations reflecting dislocation–dislocation interactions. This paper presents details of the theory and parameterization of the model, followed by discussion of simulations of flyer plate impact experiments. Impact conditions explored within this combined simulation and experimental effort span shock pressures ranging from 1 to 3 GPa for four crystallographic orientations and multiple specimen thicknesses. Simulation results generated using this model are shown to be in strong agreement with velocimetry measurements from the corresponding plate impact experiments. Finally, simulation results are used to motivate conclusions about the nature of dislocation-mediated plasticity in RDX.},
doi = {10.1016/j.jmps.2016.09.005},
journal = {Journal of the Mechanics and Physics of Solids},
number = C,
volume = 98,
place = {United States},
year = {Sun Jan 01 00:00:00 EST 2017},
month = {Sun Jan 01 00:00:00 EST 2017}
}
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