Continuum Level Formulation and Implementation of a Multi-scale Model for Vanadium

Lawrence Livermore National Laboratory

关键词: DEFORMATION;    DISLOCATIONS;    IMPLEMENTATION;    KINETICS;    PLASTICS;    PRESSURE DEPENDENCE;    STRAIN HARDENING;    STRAIN RATE;    VANADIUM;   

DOI  :  10.2172/964080
RP-ID  :  LLNL-TR-416095
PID  :  OSTI ID: 964080
Others  :  TRN: US200919%%181

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来源: SciTech Connect

【 摘 要 】

A multi-scale approach is used to construct a continuum strength model for vanadium. The model is formulated assuming plastic deformation by dislocation motion and strain hardening due to dislocation interactions. Dislocation density is adopted as the state variable in the model. Information from molecular statics, molecular dynamics and dislocation dynamics simulations is combined to create kinetic relations for dislocation motion, strain hardening relations and evolution equations for the dislocation density. Implicit time integration of the constitutive equations is described in the context of implementation in a finite element code. Results are provided illustrating the strain, strain rate, temperature and pressure dependence of the constitutive model.