PSI - Issue 28

ScienceDirect Structural Integrity Procedia 00 (2019) 000–000 Structural Integrity Procedia 00 (2019) 000–000 Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Available online at www.sciencedirect.com ScienceDirect

www.elsevier.com/locate/procedia www.elsevier.com/locate/procedia

Procedia Structural Integrity 28 (2020) 943–949

© 2020 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the European Structural Integrity Society (ESIS) ExCo Abstract Magnesium alloys have been attractive to use in structural components due to their high strength to weight ratio, low density and high damping capacity. However, magnesium alloys show peculiar plastic deformation mechanisms under cyclic loads (twinning and de-twinning) that causes the asymmetric material behaviour and limits their use in structural components. Recent researches indicate that this type of plastic deformation mechanism cannot be fully characterized using the typical tools used in steels. Therefore, the phenomenological Hypo-strain (HYPS) model has been developed to capture the asymmetric behaviour of magnesium alloys under uniaxial and multiaxial loadings. This study aims to evaluate the phenomenological Hypo-strain approach for AZ31B-F magnesium alloy and to implement the HYPS model on an external subroutine (UMAT) to run on Abaqus. The goal is to reach a numerical tool that can be used to accurately describe the cyclic elastic-plastic behaviour of magnesium alloys in synergy with finite element packages. In order to characterize the cyclic behaviour of AZ31B-F magnesium alloy, experimental tests were performed considering proportional and non-proportional loadings. To evaluate the implemented model in UMAT, these results were correlated with the experiments and with the analytical HYPS approach. Moreover, the estimates were also correlated with the Armstrong-Frederick model available on Abaqus/Standard 6.14 library. The results have shown that the HYPS model was successful implemented on the UMAT subroutine with a good correlation between experimental tests and the HYPS model. Some remarks between the HYPS and Armstrong-Frederick models are drawn. © 2020 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the European Structural Integrity Society (ESIS) ExCo Keywords: Multiaxial fatigue; Experimental tests; AZ31B-F magensium alloy 1st Virtual European Conference on Fracture Evaluation and numerical modeling of phenomenological approach for AZ31B-F magnesium alloy under multiaxial fatigue R. Moreira a , V. Anes a,b , M. Freitas a , L. Reis a, * a IDMEC, Instituto Superior Técnico, Av. Rovisco Pais 1, Lisbon 1049-001, Portugal b Instituto Superior de E genharia de Lisboa, Rua Concelheiro Emídio Navarro 1, Lisbon 1959-007, Portugal Abstract Magnesium alloys have been attractive to use in structural components due to their high strength to weight ratio, low density and high damping capacity. Howeve , magnesi m alloys show peculiar plastic deformation mechanisms under cyclic ads (twinni g and de-twin ing) tha causes th asymm tric material behavio r nd lim ts thei use i structural components. Recent researches i icate that this type of plastic defor at on m chanism cannot be fully cha act r zed sing the typical tools used in steels. Therefore, he phenomenological Hypo-strain (HYPS) model has been develop d to capture the asymmetric b haviour of magnesium alloys u der uniaxial and multiaxial loadings. This study aims to evaluat the phenom nological Hypo-strain pproach for AZ31B-F magnesium alloy nd to implement the HYPS model on an ext rn l subroutin (UMAT) to run on Abaqus. The goal is to reach a numerical too that can be us d to accurately describe the cyclic elastic-plastic behaviour of magnesi m alloys in synergy with finit element packages. In or er to ha cteriz the cyclic behaviour of AZ31B-F magnesium lloy, experimental tests were per orm d considering proporti nal and non-proportional loadings. To evaluate the imple e t d ode in UMAT, these r ults w re cor elated with the experiments and with the analytic HYPS appr ach. Moreover, th estimates w re also correlated with he Armst ong-Frederick model available on Abaqus/St ndard 6.14 library. The results have shown that the HYPS m d was successful i plemented on the UMAT subroutine with a good co relation etween xperimental tests a d the HYPS model. Some remarks between the HYPS and Armstrong-Fred rick models are drawn. © 2020 The Authors. Publishe by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of European Structural Integrity So i ty (ESIS) ExC K ywords: Multiaxial fatigue; Experimental tests; AZ31B-F magensium alloy 1st Virtual European Conference on Fracture Evaluation and numerical modeling of phenomenological approach for AZ31B-F magnesium alloy under multiaxial fatigue R. Moreira a , V. Anes a,b , M. Freitas a , L. Reis a, * a IDMEC, Instituto Superior Técnico, Av. Rovisco Pais 1, Lisbon 1049-001, Portugal b Instituto Superior de Engenharia de Lisboa, Rua Concelheiro Emídio Navarro 1, Lisbon 1959-007, Portugal

* Corresponding author. Tel.: +351218417481 E-mail address: luis.g.reis@tecnico.ulisboa.pt * Corresponding author. Tel.: +351218417481 E-mail address: luis.g.reis@tecnico.ulisboa.pt

2452-3216 © 2020 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the European Structural Integrity Society (ESIS) ExCo 2452-3216 © 2020 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review u der responsibility of t European Structural Integrity Soci ty (ESIS) ExCo

2452-3216 © 2020 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the European Structural Integrity Society (ESIS) ExCo 10.1016/j.prostr.2020.11.067