First-principles anisotropic constitutive relationships in β-cyclotetramethylene tetranitramine (β-HMX)

First-principles density functional theory calculations have been performed to obtain constitutive relationships in the crystalline energetic material beta-cyclotetramethylene tetranitramine (beta-HMX). In addition to hydrostatic loading, uniaxial compressions in the directions normal to the 11001, 10101, {001}, {110}, {101}, {011}, and {111} planes have been performed to investigate the anisotropic equation of state (EOS). The calculated lattice parameters and hydrostatic EOS are in reasonable agreement with the available experimental data. The uniaxial compression data show a significant anisotropy in the principal stresses, change in energy, band gap, and shear stresses, which might lead to the anisotropy of the elastic-plastic shock transition and shock sensitivity of beta-HMX. (C) 2008 American Institute of Physics.