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Title: Single Crystal Plasticity Model with Deformation Twinning for the High Rate Deformation of β-HMX

Journal Article · · AIP Conference Proceedings
DOI:https://doi.org/10.1063/12.0001018· OSTI ID:1822769

Deformation twinning is an active deformation mechanism during loading along certain crystallographic directions of β-cyclotetramethylene tetranitramine (β-HMX). In this work, a finite strain thermomechanical model is extended to include twinning as a deformation mechanism in addition to plastic slip. The stress is derived from the free energy expression including a term representing the equation of state. The crystal plasticity framework is used to divide the total strain into inelastic and elastic component, where the elastic part is used in the expression for the free energy. The twin systems are treated as pseudo slip systems and the shear rate on the twin systems is evaluated in terms of the twin resistance and the projection of the stress tensor. The model parameters were calibrated against a set of plate impact experiments performed on β-HMX by Dick et al. The remaining plate impact experiments are used to evaluate the predictive capability of the model. The quality of the model fits and predictions is discussed from a physical and modeling perspective. Particularly, the role of twin modeling on results is highlighted. Finally, the model is used to explore the relationship between the propensity for twinning and crystal orientation.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1822769
Report Number(s):
LA-UR-19-26875; TRN: US2214504
Journal Information:
AIP Conference Proceedings, Vol. 2272; Conference: 21.Biennial Conference of the APS Topical Group on Shock Compression of Condensed Matter (SHOCK19), Portland, OR (United States), 16-21 Jun 2019; ISSN 0094-243X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (13)

Equation of state, phase transition, decomposition of β-HMX (octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine) at high pressures journal December 1999
The Deformation and Fracture of Formula-HMX journal October 1982
Analysis of wave profiles for single-crystal cyclotetramethylene tetranitramine journal January 2005
Elastic–plastic wave profiles in cyclotetramethylene tetranitramine crystals journal July 2004
A dislocation density-based continuum model of the anisotropic shock response of single crystal α-cyclotrimethylene trinitramine journal January 2017
Mechanical properties of β-HMX journal April 2015
Thermal mechanical anisotropic constitutive model and numerical simulations for shocked β-HMX single crystals journal November 2012
Incorporation of deformation twinning in crystal plasticity models journal February 1998
Defect evolution and pore collapse in crystalline energetic materials journal February 2009
A dislocation-based constitutive law for pure Zr including temperature effects journal May 2008
Coupled nonlinear elasticity, plastic slip, twinning, and phase transformation in single crystal titanium for plate impact loading journal June 2019
Pressure‐dependent Elastic Coefficients of β‐HMX from Molecular Simulations journal February 2018
A molecular dynamics simulation study of elastic properties of HMX journal October 2003

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