Application of non-convex rate dependent gradient plasticity to the modeling and simulation of inelastic microstructure development and inhomogeneous material behavior

Journal
Computational Materials Science  
Volume
80
Start Page
51
End Page
60
Citation
Computational Materials Science (80): 51-60 (2013)
Publisher DOI
10.1016/j.commatsci.2013.04.016
Scopus ID
2-s2.0-84885373041
Publisher
Elsevier
In this study, a two-dimensional rate-dependent gradient crystal plasticity model for non-convex energetic hardening is formulated and applied to the simulation of inelastic microstructure formation. In particular, non-convex hardening is modeled via a Landau-Devonshire potential for self-hardening and two interaction-matrix-based forms for latent hardening. The algorithmic formulation and the numerical implementation treats the displacement and the glide-system slips as the primary field variables. The numerical simulations are carried out for the case of tensile loading with periodic displacement and slip boundary conditions. The results for the formation of inelastic microstructures and their evolution under mechanical loading are illustrated together with the macroscopic stress-strain responses.
Subjects
Gradient crystal plasticity
Microstructure
Non-convexity
Self-/latent hardening
Viscoplasticity
DDC Class
620: Ingenieurwissenschaften