Thermal Mechanical Anisotropic Constitutive Model and Numerical Simulations for Shocked β-HMX Single

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  The crystal plasticity model for low-symmetric (3-HMX single crystals with only limited operative slip systems has been developed, accounting for nonlinear elasticity, volumetric coupled with deviatoric behavior, and thermodynamical consistency. Based on the decomposition of the stress tensor, the modified equation of state for anisotropic materials is adopted. Simulation results of the planar impact onp-HMX single crystals show good agreement with existing experimental data by Dick and Hooks (2004). In addition to providing new perspective to a range of orientation-dependent shock behaviors ofp-HMX single crystal, the present research also discusses dislocation density, shear stress and strain localization, and anisotropic temperature increase inshockedp-HMX single crystals under shock loading. The proposed formulation and algorithms can also be applied to other low symmetric crystals under impact or shock loading which gives irrecoverable deformation by crystallographic slip. Temperature calculations with various characteristic features for different orientations based on numerical simulations are explained, but no comparison with available experimental data is possible to our knowledge. Future studies should also examine phase changeand twining as they also often occur in IMX single crystals.
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