Microstructure-Sensitive Simulation of Shock Loading in Metals

By Lloyd, Jeffrey T.

Georgia Institute of Technology

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Advisors: David L. McDowell, John D. Clayton, Min Zhou, Julian J. Rimoli, Naresh N. Thadhani, Shuman Xia

A constitutive model has been developed to model the shock response of single crystal aluminum from peak pressures ranging from 2-110 GPa. This model couples a description of higher-order thermoelasticity with a dislocation-based viscoplastic formulation, both of which are formulated for single crystals. The constitutive model has been implemented using two numerical methods: a plane wave method that tracks the propagating wave front; and an extended one-dimensional, finite-difference method that can be used to model spatio-temporal evolution of wave propagation in anisotropic materials. The constitutive model, as well as these numerical methods, are used to simulate shock wave propagation in single crystals, polycrystals, and pre-textured polycrystals. Model predictions are compared with extensive existing experimental data and are then used to quantify the influence of the initial material state on the subsequent shock response. A coarse-grained model is then proposed to capture orientation-dependent deformation heterogeneity, and is shown to replicate salient features predicted by direct finite-difference simulation of polycrystals in the weak shock regime. The work in this thesis establishes a general framework that can be used to quantify the influence of initial material state on subsequent shock behavior not only for aluminum single crystals, but for other face-centered cubic and lower symmetry crystalline metals as well.

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Researchers should cite this work as follows:

  • Lloyd, Jeffrey T. (2014), "Microstructure-Sensitive Simulation of Shock Loading in Metals," https://matin.gatech.edu/resources/2856.

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