A dislocation density-based continuum model of the anisotropic shock response of single crystal α-cyclotrimethylene trinitramine

Luscher, Darby Jon; Addessio, Francis L.; Cawkwell, Marc Jon; Ramos, Kyle James

doi:10.1016/j.jmps.2016.09.005

A dislocation density-based continuum model of the anisotropic shock response of single crystal α-cyclotrimethylene trinitramine

Journal Article · Sun Jan 01 00:00:00 EST 2017 · Journal of the Mechanics and Physics of Solids

DOI:https://doi.org/10.1016/j.jmps.2016.09.005· OSTI ID:1329599

Luscher, Darby Jon ^[1]; Addessio, Francis L. ^[1]; Cawkwell, Marc Jon ^[1]; Ramos, Kyle James ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL)

Sponsoring Organization:: LDRD; USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1329599

Alternate ID(s):: OSTI ID: 1359373

Report Number(s):: LA-UR-16-24506

Journal Information:: Journal of the Mechanics and Physics of Solids, Journal Name: Journal of the Mechanics and Physics of Solids Journal Issue: C Vol. 98; ISSN 0022-5096

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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A dislocation density-based continuum model of the anisotropic shock response of single crystal α-cyclotrimethylene trinitramine

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