Periodic Homogenization in Crystal Plasticity: A Comparative Study between 3D and 2D

Abstract:

In this paper, macroscopic behavior obtained from crystal plasticity finite element simulations of irregularly shaped 3D and 2D volume elements (VEs) are compared. These morphologically periodic VEs are generated using the open-source software library Voro++. Periodic boundaryconditions are utilized to homogenize the material response employing a prescribed macroscopic deformation gradient tensor. To accelerate the assignment of periodic boundary conditions, a conformalmesh is employed by which periodic couples of faces on the hull of the volume element have identicalmesh patterns. In the simulations, plane strain conditions are assumed, which means that the averagethickness strain in 3D VEs is set to zero. However, grains are allowed to strain in the thickness direction. In the case of 2D VEs, plane strain elements are used. The principal goal of this comparison isto evaluate the accuracy of 2D VEs simulations. In the current study, two kinds of 2D VEs are generated: 1) Slicing 3D VEs normal to the thickness direction, 2) Separately generating 2D VEs. The firstmethod corresponds to sectioning 3D microstructures using EBSD. This approach is generally usedas an assumed more accurate alternative to 2D VEs. Based on the results, there is a large gap betweenthe flow curves of 2D and 3D VEs. Additionally, 2D sectioning of 3D VEs does not necessarily endup in higher precision in material behavior predictions.

• Periodical: Key Engineering Materials (Volume 926)
• Pages: 2004-2011
• DOI: https://doi.org/10.4028/p-67326d
• Online since: July 2022
• Authors: Shahrzad Mirhosseini*, Emin Semih Perdahcioglu, Celal Soyarslan, Ton van den Boogaard
• Keywords: Computational Homogenization, Crystal Plasticity, Finite Element Analysis, Finite Strain, Voronoi Tessellation

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