The influence of strain gradient on deformation behavior of nuclear structural materials, such as body--centered cubic (bcc) iron alloys has been investigated. We have developed and implemented a dislocation based strain gradient crystal plasticity material model. A mesoscale crystal plasticity model for inelastic deformation of metallic material, bcc steel, has been developed and implemented numerically. Continuum Dislocation Dynamics (CDD) with a novel constitutive law based on dislocation density evolution mechanisms was developed to investigate the deformation behaviors of single crystals, as well as polycrystalline materials by coupling CDD and crystal plasticity (CP). The dislocation density evolution law in this model is mechanism--based, with parameters measured from experiments or simulated with lower-length scale models, not an empirical law with parameters back--fitted from the flow curves.In our current framework, geometrically necessary dislocations are introduced to take into consideration of strain gradient for the long range interactions. Two approaches have been proposed to incorporate the influence of strain gradient into the framework: the first one with analytical solution in a homogenization method, i.e., viscoplastic self--consistent (VPSC) model, the other one with user material subroutine in finite element method (FEM).The mesoscale plasticity model is formulated to treat both long--range and short--range processes and interactions. Models for the evolution of mobile and immobile dislocations, as well as interstitial loops, and interaction hardening laws, are formulated based on quantifiable mechanisms from lower length scales, such as dislocation multiplication, annihilation, junction formation/breakage, and cross--slip in CDD. Long--range interactions, resulting from dislocation structures, will be treated within a dislocation--based strain gradient theory, compatible with dislocation theory and driven by densities represented as continuum fields.Crystal plasticity has been implemented into MARMOT to increase the capability of the numerical solution framework for mechanical deformation behavior of nuclear structural materials. Combined with the lower length scale simulation capability in MOOSE, development in this capability will build up a multi--scale and multi--physics modeling architecture.
Gradient Plasticity and its Implementation into MARMOT iv