Three dimensional investigation of the texture and microstructure below a nanoindent in a Cu single crystal using 3D EBSD and crystal plasticity finite element simulations

By N. Zaafarani, Dierk Raabe, Ripandeep Singh, Franz Roters, S. Zaefferer. 2006

322 citations recorded by the source corpus.

This paper reports a three-dimensional (3D) study of the microstructure and texture below a conical nanoindent in a (1 1 1) Cu single crystal at nanometer-scale resolution. The experiments are conducted using a joint high-resolution field emission scanning electron microscopy/electron backscatter diffraction (EBSD) set-up coupled with serial sectioning in a focused ion beam system in the form of a cross-beam 3D crystal orientation microscope (3D EBSD). The experiments (conducted in sets of subsequent ð 11 �Þ cross-section planes) reveal a pronounced deformation-induced 3D patterning of the lattice rotations below the indent. In the cross-section planes perpendicular to the (1 1 1) surface plane below the indenter tip the observed deformation-induced rotation pattern is characterized by an outer tangent zone with large absolute values of the rotations and an inner zone closer to the indenter axis with small rotations. The mapping of the rotation directions reveals multiple transition regimes with steep orientation gradients and frequent changes in sign. The experiments are compared to 3D elastic–viscoplastic crystal plasticity finite element simulations adopting the geometry and boundary conditions of the experiments. The simulations show a similar pattern for the absolute orientation changes but they fail to predict the fine details of the patterning of the rotation directions with the frequent changes in sign observed in the experiment. Also the simulations overemphasize the magnitude of the rotation field tangent to the indenter relative to that directly below the indenter tip.

Subfields: Biomedical Engineering, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/8a10fd0cd122398c09bfd33ad7996cd8880d6c08

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In Biomedical Engineering

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Quantification of the effect of transformation-induced geometrically necessary dislocations on the flow-curve modelling of dual-phase steels (2013, background): “Also, some investigations used the crystal plasticity finite element method (CPFEM), and results were compared with experimental observations (Zaafarani et al., 2006; Ma et al., 2006a,b).”
Effects of initial orientation, sample geometry and friction on anisotropy and crystallographic orientation changes in single crystal microcompression deformation: A crystal plasticity finite element study (2007, background): “for the case of single crystal deformation [8], bicrystal deformation [9–11], oligocrystal deformation [12] and nanoindentation [13,14].”
A Finite Element approach with patch projection for strain gradient plasticity formulations (2007, unknown): “In Zaafarani et al. (2006) the here suggested numerical approach was actually applied without any description and discussions of the numerical approach itself.”
Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications (2010, methodology): “In addition to these well-established methods, novel tomographic experiments allow one to compare CPFE predictions to real microstructures also in three dimensions, for instance by synchrotron orientation tomography [214,394], and EBSD tomography (3-D EBSD) [171,174,177,216, 395,396].”