Crystal plasticity finite element simulations of the indentation test

Abstract

The goal of the paper is to report the successful simulations of the nanoindentation problem. The finite-strain isotropic elasto-plasticity and crystal elasto-plasticity models used for the simulations are described. The developed contact formulation describing the contact with rigid surface approximating pyramidal indenter is presented. Both tensile stress-strain and indentation load-penetration curves obtained with a single set of material parameters are presented to be in the satisfactory agreement with experimental data. It seems that such a result is presented for the first time.

Multiscale nanoindentation modeling of concentrated solid solutions: A continuum plasticity model

“…In order to simulate the nanoindentation with isotropic distribution of plastic shear, some J2-based model (as the one in section 2.1 of [10]) could have been applied. However, we wanted to have the model directly analogous to the CP model so that the combined model can then be built (see the next section).…”

“…2. The applied mesh density is not necessary from the point of view of the solution convergence (see [10] for mesh convergence analysis) but it is done in order to get an excellent resolution of the surface topography maps. The dimensions of the whole mesh along x and y directions are 60 nm and the height is equal to 30 nm.…”

“…It was divided into 72 x 72 x 2 finite elements. The refined region is connected with the rest of the mesh using a hanging nodes formulation described in section 2.4 of [10].…”

“…17 g N denotes the normal gap and t N is the contact pressure. Similarly as in [10], friction was neglected here.…”

“…In particular, although there is a vast number of papers concerning modelling the micro-and nanoindentation of conventional metals and alloys by means of crystal plasticity finite element method (CPFEM), cf. e. g. [7][8][9][10], it seems there is no such study devoted to the CPFEM simulation of the indentation in chemically complex CSAs like the Cantor Alloy. We shall now briefly summarize some CPFEM simulations of CSAs in other contexts.…”