Indentation studies in b.c.c. crystals with enhanced model of strain-gradient crystal plasticity

Abstract

• This is the author's version of a work that was accepted for publication in the Computational Materials Science. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published at:http://www.sciencedirect.com/science/article/pii/S0927025613004072

Influence of strain gradients on lattice rotation in nano-indentation experiments: A numerical study

“…= and β γ ∇ is the gradient of shear strain in each slip system. To calculate β γ ∇ the scheme proposed in Demiral et al [24] is followed. The model was implemented in the implicit finite-element code ABAQUS/Standard using the user-defined material subroutine (UMAT).…”

“…The model was implemented in the implicit finite-element code ABAQUS/Standard using the user-defined material subroutine (UMAT). Relevant details can be found in [21,24,[26][27].…”

“…crystalline structure is studied. In the following simulations only the {112} <111> slip system (Table 1) was considered [24]. Table 1 3…”

“…A FE model of the indentation experiment was developed [24]. Dimensions of the workpiece sample used in the FE model were 10 μm × 10 μm × 6 μm.…”

“…The GND density term was expressed as a function of the normalized surface-to-volume ( V S ) ratio (hence, dimensionless) for the component under study [24].…”