Computational rate-independent strain gradient crystal plasticity

Abstract Size effects in metal plasticity are widely accepted, and different theoretical approaches to handle the phenomenon developing literature. The present work considers Fleck Willis (2009b) framework, creates a new gradient enhanced rate-independent crystal FE-implementation. study both energetic dissipative hardening strengthening, adopts general form of effective slip rate. Monotonic cyclic shearing an infinite slab containing single system at angle 90° loading direction is first benchmark case. A second case combined shear tension 2D constrained HCP crystal. loaded its basal plane by so-called butterfly deformation path that inflicts repeated unloading three crystallographic systems. Finally, evolution interaction multiple plastic zones demonstrated considering notched tensile sample. direct comparison visco-plastic (rate-dependent) simulations confirms proposed framework forms limit for Fleck–Willis theory. model response also reduces conventional zero length parameters.