[HTML][HTML] Restraining geometrically-necessary dislocations to the active slip systems in a crystal plasticity-based finite element framework

E Demir, A Martinez-Pechero, C Hardie… - International Journal of …, 2024 - Elsevier
Strain gradients have been cast in the form of geometrically-necessary dislocations (GND) to
relate the length-scale dependence of strength and to determine potential sites for failure …

Crystal plasticity analysis of micro-deformation, lattice rotation and geometrically necessary dislocation density

FPE Dunne, R Kiwanuka… - Proceedings of the …, 2012 - royalsocietypublishing.org
A gradient-enhanced crystal plasticity model is presented that explicitly accounts for the
evolution of the densities of geometrically necessary dislocations (GNDs) on individual slip …

Modeling of dislocation–grain boundary interactions in a strain gradient crystal plasticity framework

İ Özdemir, T Yalçinkaya - Computational Mechanics, 2014 - Springer
This paper focuses on the continuum scale modeling of dislocation–grain boundary
interactions and enriches a particular strain gradient crystal plasticity formulation (convex …

Equivalent plastic strain gradient crystal plasticity–enhanced power law subroutine

S Wulfinghoff, T Böhlke - GAMM‐Mitteilungen, 2013 - Wiley Online Library
A gradient crystal plasticity theory is presented including a defect energy based on the
gradient of an equivalent plastic strain measure. Preserving the single crystal slip …

Finite element simulation of large-strain single-crystal viscoplasticity: An investigation of various hardening relations

TM Povall, AT McBride, BD Reddy - Computational materials science, 2014 - Elsevier
Hardening relations describe the increase in resistance to deformation during plastic flow.
Three hardening relations are compared here in the context of conventional large-strain …

[HTML][HTML] An incremental flow theory for crystal plasticity incorporating strain gradient effects

C Nellemann, CF Niordson, KL Nielsen - International Journal of Solids …, 2017 - Elsevier
The present work investigates a new approach to formulating a rate-independent strain
gradient theory for crystal plasticity. The approach takes as offset recent discussions …

Scale dependent crystal plasticity framework with dislocation density and grain boundary effects

LP Evers, WAM Brekelmans, MGD Geers - International Journal of solids …, 2004 - Elsevier
The geometrically non-linear scale dependent response of polycrystal FCC metals is
modelled by an enhanced crystal plasticity framework based on the evolution of several …

[HTML][HTML] A class of rate-independent lower-order gradient plasticity theories: Implementation and application to disc torsion problem

ES Perdahcıoğlu, C Soyarslan, EE Aşık… - Materials, 2018 - mdpi.com
As the characteristic scale of products and production processes decreases, the plasticity
phenomena observed start to deviate from those evidenced at the macroscale. The current …

Finite element analysis of geometrically necessary dislocations in crystal plasticity

DE Hurtado, M Ortiz - International Journal for Numerical …, 2013 - Wiley Online Library
We present a finite element method for the analysis of ductile crystals whose energy
depends on the density of geometrically necessary dislocations (GNDs). We specifically …

A gradient crystal plasticity theory for large deformations with a discontinuous accumulated plastic slip

H Erdle, T Böhlke - Computational Mechanics, 2017 - Springer
The implementation of novel material models in the microscale gives a deeper
understanding of inner and intercrystalline effects of crystalline materials. For future works …