PSI - Issue 28

Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Available online at www.sciencedirect.com ScienceDirect

ScienceDirect Structural Integrity Procedia 00 (2019) 000–000 Structural Integrity Procedia 00 (2019) 000–000

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

Procedia Structural Integrity 28 (2020) 1431–1437

© 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 The purpose of this work is to develop a computational method for adhesively bonded composite structures lifetime assessment. A cohesive zone model – based formulation including fatigue damage is selected. The model is implemented in the finite element software Abaqus through user subroutine. Numerical simulations are subsequently performed for the mode I crack propagation case. Validation of available experimental data for both quasi-static and high-cycle fatigue tests is successfully achieved. © 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: CZM, Fatigue damage, Cycle-jump, Adhesive bonding, Composite 1. Introduction The engineering components often fails following the mode I consisting of the crack opening and its propagation perpendicularly to the loading direction. Composites and hybrid assemblies are increasingly used in aeronautics, automotive as well as in renewable energy. Adhesive bonding technique is widely used to link parts for its obvious advantages i.e. reduced cost, uniform stress distribution. The adhesive properties are determined following the ASTM D 3433 Standard (ASTM-D3433-99(2020) 2020) using double cantilever beam “DCB” test. Strength parameters as well as adhesion properties should be identified. An interesting review on the adhesive strength improvement is proposed by Shang et al. (Shang et al. 2019). Considerable efforts are provided to identify the problem in the quasi-static case, notably for the understanding of the adhesive damage mechanisms (Oshima et al. 2019, Loutas et al. 2020), taking into account the adhesive thickness (Lopes Fernandes et al. 2019). However, the knowledge of the bonded composite response under fatigue loading especially on high-cycle is limited although the phenomenon is increasingly investigated from an experimental point of view (Adamos, Tsokanas and Loutas 2020, Ladani et al. 2017, Olajide and Arhatari 2017, González Ramírez et al. 2018). Innovative analytical approaches are also proposed (Jones, Kinloch and Hu 2016). Given the expensiveness of the experimental testing, numerical methods are increasingly used, and more particularly the finite element method. The methods used for the adhesive joints lifetime assessments could be divided in two main groups: A fracture mechanics based approach that can give a global prediction on the fatigue strength. The method is based on linking the crack growth rate to fracture mechanics parameters i.e. stress intensity factor “K” or strain energy density “G”. The first direct relation results from the pioneering work of Abstract The purpose of this work is to develop a computational method for adhesively bonded composite structures lifetime assessment. A cohesive zone model – based formulation including fatigue damage is selected. The model is implemented in the finite element software Abaqus through user subroutine. Numerical simulations are subsequently performed for the mode I crack propagation case. Validation of available experimental data for both quasi-static and high-cycle fatigue tests is successfully achieved. t rs. lis LSEVIER B.V. is is a e access article der t e CC -N - li ( tt s://creativecom ons.org/licens s/by-nc-nd/4.0) eer-r vi w und r r sp i ilit of the Eur a tr ctur l Int rit So i ty (E I ) Keywords: CZM, Fatigue damage, Cycle-jump, Adhesive bonding, Composite 1. Introduction The engineering components often fails following the mode I consisting of the crack opening and its propagation perpendicularly to the loading direction. Composites and hybrid assemblies are increasingly used in aeronautics, automotive as well as in renewable energy. Adhesive bonding technique is widely used to link parts for its obvious advantages i.e. reduced cost, uniform stress distribution. The adhesive properties are determined following the ASTM D 3433 Standard (ASTM-D3433-99(2020) 2020) using double cantilever beam “DCB” test. Strength parameters as well as adhesion properties should be identified. An interesting review on the adhesive strength improvement is proposed by Shang et al. (Shang et al. 2019). Considerable efforts are provided to identify the problem in the quasi-static case, notably for the understanding of the adhesive damage mechanisms (Oshima et al. 2019, Loutas et al. 2020), taking into account the adhesive thickness (Lopes Fernandes et al. 2019). However, the knowledge of the bonded composite response under fatigue loading especially on high-cycle is limited although the phenomenon is increasingly investigated from an experimental point of view (Adamos, Tsokanas and Loutas 2020, Ladani et al. 2017, Olajide and Arhatari 2017, González Ramírez et al. 2018). Innovative analytical approaches are also proposed (Jones, Kinloch and Hu 2016). Given the expensiveness of the experimental testing, numerical methods are increasingly used, and more particularly the finite element method. The methods used for the adhesive joints lifetime assessments could be divided in two main groups: A fracture mechanics based approach that can give a global prediction on the fatigue strength. The method is based on linking the crack growth rate to fracture mechanics parameters i.e. stress intensity factor “K” or strain energy density “G”. The first direct relation results from the pioneering work of 1st Virtual European Conference on Fracture Numerical implementation of a fatigue cohesive zone model and simulation of mode I crack propagation of adhesively bonded composites Mamadou Abdoul Mbacké a *, Rachid Bensaada a , Jonathan Raujol a , Bertrand Lascoup a and Astrid Filiot b 1st Virtual European Conference on Fracture Numerical implementation of a fatigue cohesive zone model and simulation of mode I crack propagation of adhesively bonded composites Mamadou Abdoul Mbacké a *, Rachid Bensaada a , Jonathan Raujol a , Bertrand Lascoup a and Astrid Filiot b a IRT Jules Verne, Technocampus Composites, Chemin du Chaffault 44340 Bouguenais, France b EDF Recherche & Developpement, Boulevard Gaspard Monge, 91120 Palaiseau, France a IRT Jules Verne, Technocampus Composites, Chemin du Chaffault 44340 Bouguenais, France b EDF Recherche & Developpement, Boulevard Gaspard Monge, 91120 Palaiseau, France

* Corresponding author. Tel.: (+33) 228 443 710 E-mail address: Mamadou.mbacke@irt-jules-verne.fr * Corresponding author. Tel.: (+33) 228 443 710 E-mail address: Mamadou.mbacke@irt-jules-verne.fr

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.2020.10.116 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 Europ an 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 under responsibility of the European Structural Integrity Society (ESIS) ExCo