Simulation of the Cyclic Stress–Strain Behavior of the Magnesium Alloy AZ31B-F under Multiaxial Loading

Under strain control tests and cyclic loading, extruded magnesium alloys exhibit a special mechanism of plastic deformation (“twinning” and “de-twining”). As a result, magnesium alloys exhibit an asymmetric material behavior that cannot be fully characterized with the typical numerical tools used fo...

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Main Authors: Vitor Anes, Rogério Moreira, Luís Reis, Manuel Freitas
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Crystals
Subjects:
Online Access:https://www.mdpi.com/2073-4352/13/6/969
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author Vitor Anes
Rogério Moreira
Luís Reis
Manuel Freitas
author_facet Vitor Anes
Rogério Moreira
Luís Reis
Manuel Freitas
author_sort Vitor Anes
collection DOAJ
description Under strain control tests and cyclic loading, extruded magnesium alloys exhibit a special mechanism of plastic deformation (“twinning” and “de-twining”). As a result, magnesium alloys exhibit an asymmetric material behavior that cannot be fully characterized with the typical numerical tools used for steels or aluminum alloys. In this sense, a new phenomenological model, called hypo-strain, has been developed to correctly predict the cyclic stress–strain evolution of magnesium alloys. On this basis, this work aims to accurately describe the local cyclic elastic–plastic behavior of AZ31B-F magnesium alloy under multiaxial cyclic loading with Abaqus incremental plasticity. The phenomenological hypo-strain model was implemented in the UMAT subroutine of Abaqus/Standard to be used as a design tool for mechanical design. To evaluate this phenomenological approach, the results were correlated with the uniaxial and multiaxial proportional and non-proportional experimental tests. In addition, the estimates were also correlated with the Armstrong–Frederick nonlinear kinematic hardening model. The results show a good correlation between the experiments and the phenomenological hypo strain approach. The model and its implementation were validated in the strain range studied.
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spelling doaj.art-bda82aff43c344688bf145a333143a182023-11-18T09:57:17ZengMDPI AGCrystals2073-43522023-06-0113696910.3390/cryst13060969Simulation of the Cyclic Stress–Strain Behavior of the Magnesium Alloy AZ31B-F under Multiaxial LoadingVitor Anes0Rogério Moreira1Luís Reis2Manuel Freitas3Instituto Superior de Engenharia de Lisboa, 1959-007 Lisboa, PortugalIDMEC, Instituto Superior Técnico, Universidade de Lisboa, 1049-001 Lisboa, PortugalIDMEC, Instituto Superior Técnico, Universidade de Lisboa, 1049-001 Lisboa, PortugalIDMEC, Instituto Superior Técnico, Universidade de Lisboa, 1049-001 Lisboa, PortugalUnder strain control tests and cyclic loading, extruded magnesium alloys exhibit a special mechanism of plastic deformation (“twinning” and “de-twining”). As a result, magnesium alloys exhibit an asymmetric material behavior that cannot be fully characterized with the typical numerical tools used for steels or aluminum alloys. In this sense, a new phenomenological model, called hypo-strain, has been developed to correctly predict the cyclic stress–strain evolution of magnesium alloys. On this basis, this work aims to accurately describe the local cyclic elastic–plastic behavior of AZ31B-F magnesium alloy under multiaxial cyclic loading with Abaqus incremental plasticity. The phenomenological hypo-strain model was implemented in the UMAT subroutine of Abaqus/Standard to be used as a design tool for mechanical design. To evaluate this phenomenological approach, the results were correlated with the uniaxial and multiaxial proportional and non-proportional experimental tests. In addition, the estimates were also correlated with the Armstrong–Frederick nonlinear kinematic hardening model. The results show a good correlation between the experiments and the phenomenological hypo strain approach. The model and its implementation were validated in the strain range studied.https://www.mdpi.com/2073-4352/13/6/969AZ31B-Fmagnesium alloysmultiaxial loadingsimulationcyclic stress–strain behavior
spellingShingle Vitor Anes
Rogério Moreira
Luís Reis
Manuel Freitas
Simulation of the Cyclic Stress–Strain Behavior of the Magnesium Alloy AZ31B-F under Multiaxial Loading
Crystals
AZ31B-F
magnesium alloys
multiaxial loading
simulation
cyclic stress–strain behavior
title Simulation of the Cyclic Stress–Strain Behavior of the Magnesium Alloy AZ31B-F under Multiaxial Loading
title_full Simulation of the Cyclic Stress–Strain Behavior of the Magnesium Alloy AZ31B-F under Multiaxial Loading
title_fullStr Simulation of the Cyclic Stress–Strain Behavior of the Magnesium Alloy AZ31B-F under Multiaxial Loading
title_full_unstemmed Simulation of the Cyclic Stress–Strain Behavior of the Magnesium Alloy AZ31B-F under Multiaxial Loading
title_short Simulation of the Cyclic Stress–Strain Behavior of the Magnesium Alloy AZ31B-F under Multiaxial Loading
title_sort simulation of the cyclic stress strain behavior of the magnesium alloy az31b f under multiaxial loading
topic AZ31B-F
magnesium alloys
multiaxial loading
simulation
cyclic stress–strain behavior
url https://www.mdpi.com/2073-4352/13/6/969
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AT rogeriomoreira simulationofthecyclicstressstrainbehaviorofthemagnesiumalloyaz31bfundermultiaxialloading
AT luisreis simulationofthecyclicstressstrainbehaviorofthemagnesiumalloyaz31bfundermultiaxialloading
AT manuelfreitas simulationofthecyclicstressstrainbehaviorofthemagnesiumalloyaz31bfundermultiaxialloading