Effects of Misorientation on Single Crystal Plasticity by Finite Element Methods

Fuente: arXiv
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Autori principali: Shimanek, John D., Liu, Zi-Kui, Beese, Allison M.
Natura: Preprint
Pubblicazione: 2024
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author Shimanek, John D.
Liu, Zi-Kui
Beese, Allison M.
author_facet Shimanek, John D.
Liu, Zi-Kui
Beese, Allison M.
contents The crystal plasticity finite element method (CPFEM) is a widely used technique for resolving macroscopic stress and strain onto the physically relevant length scales of grains and slip systems in ductile crystalline materials like structural metals. Here, the calibration of a CPFEM model for single crystal applications was found to depend critically on loading orientation, with an effect significant even at an angle of 0.1 degrees. Slight misorientation from high symmetry loading affected lattice rotation during tensile deformation, changing the number of active slip systems, and, as a result, the overall stress-strain behavior. The strongest misorientation effects occurred around the multi-slip orientations of [001], [111], [101], and [102], while the single slip orientation of [213] showed a negligible effect, as expected, and the double slip orientation of [112] showed less of an effect than [102] due to its relative lattice orientation stability. The magnitude of the misorientation effect increased dramatically with the strength of slip system interaction, which, in the chosen hardening framework, is represented by the latent hardening coefficient. In a case study on [001] Cu, offsets of 0.3-2.0 degrees gave stress values at an engineering strain of 0.25 that were lower by 15-18% relative to the direct loading values, highlighting the importance of exact orientations for single crystal plasticity parameterization and application.
format Preprint
id arxiv_https___arxiv_org_abs_2402_15056
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Effects of Misorientation on Single Crystal Plasticity by Finite Element Methods
Shimanek, John D.
Liu, Zi-Kui
Beese, Allison M.
Materials Science
The crystal plasticity finite element method (CPFEM) is a widely used technique for resolving macroscopic stress and strain onto the physically relevant length scales of grains and slip systems in ductile crystalline materials like structural metals. Here, the calibration of a CPFEM model for single crystal applications was found to depend critically on loading orientation, with an effect significant even at an angle of 0.1 degrees. Slight misorientation from high symmetry loading affected lattice rotation during tensile deformation, changing the number of active slip systems, and, as a result, the overall stress-strain behavior. The strongest misorientation effects occurred around the multi-slip orientations of [001], [111], [101], and [102], while the single slip orientation of [213] showed a negligible effect, as expected, and the double slip orientation of [112] showed less of an effect than [102] due to its relative lattice orientation stability. The magnitude of the misorientation effect increased dramatically with the strength of slip system interaction, which, in the chosen hardening framework, is represented by the latent hardening coefficient. In a case study on [001] Cu, offsets of 0.3-2.0 degrees gave stress values at an engineering strain of 0.25 that were lower by 15-18% relative to the direct loading values, highlighting the importance of exact orientations for single crystal plasticity parameterization and application.
title Effects of Misorientation on Single Crystal Plasticity by Finite Element Methods
topic Materials Science
url https://arxiv.org/abs/2402.15056