Constrained Voronoi models for interpreting surface microstructural measurements. (August 2021)

• Record Type: Journal Article
• Authors: Ganesan, Sriram; Javaheri, Iman; Sundararaghavan, Veera
• Is Part Of: Mechanics of materials. Volume 159(2021)
• Publication Date: 2021-08
• Subjects: Microstructure reconstruction -- Voronoi tessellation -- Digital image correlation -- Crystal plasticity -- Slip systems; Strength of materials -- Periodicals; Mechanics, Applied -- Periodicals; Résistance des matériaux -- Périodiques; Mécanique appliquée -- Périodiques; Mechanics, Applied; Strength of materials; Periodicals; Electronic journals; 620.11
• DOI: 10.1016/j.mechmat.2021.103892
• Languages: English
• ISSNs: 0167-6636

Abstract

Abstract: Measurement and analysis of microstructures is an essential aspect of materials design and structural performance. In the case of surface experimental measurements such as digital image correlation (DIC), it is beneficial to know the subsurface microstructure to interpret the surface observations accurately. However, subsurface microstructures are expensive to obtain through three-dimensional (3D) tomography. Hence, it is of interest to generate these structures computationally. In this work, a generalized inverse Voronoi problem is used to grow an approximate representation of the 3D microstructure from a surface electron backscatter diffraction (EBSD) image. The novelty of the approach is that the surface microstructure is retained during the simulation. This technique is employed for the reconstruction of a recrystallized magnesium alloy microstructure. Crystal plasticity finite element modeling (CPFEM) was employed for comparing the predicted surface strains in the reconstructed 3D microstructures against experimentally measured data. It is observed that the surface strains of different 3D reconstructions are qualitatively similar to the experiment. However, strong basal slip activation in some subsurface grains can influence the choice of activated slip systems on surface microstructures. The results show the implications of performing a full 3D crystal plasticity analysis of measured surface data as compared to only analyzing a two-dimensional extruded microstructure. Graphical abstract: Highlights: A Generalized Inverse Voronoi approach is used for reconstruction of 3D microstructures from 2D images while retaining surface morphology. CPFEM is employed for comparing surface strains in the reconstructed microstructures with SEM-DIC data of Mg alloy. Strong basal slip activation in the subsurface grains tend to influence the activated slip systems on the surface microstructure. The results show the need for 3D reconstructions for an accurate interpretation of measured surface strain variation.