PSI - Issue 33

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

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Procedia Structural Integrity 33 (2021) 996–1006

© 2021 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 scientific committee of the IGF ExCo © 2021 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 Statement: Peer-review under responsibility of the scientific committee of the IGF ExCo Keywords: Mixed finite element; Energy release rate; orthotropic materials; Kinking crack; Abstract Due to the attention brought to the composites materials, it is becoming mandatory to study their mechanical behavior especially in the fracture mechanics cases to determine and follow their conduct in a damaged state. To achieve this, numerical methods have been adapted to simulate the phenomenon of fracture within different materials and in different cases. In this work, an enrichment for modelling kinking cracks in orthotropic media has been added to a newly developed two-dimensional mixed finite element. To evaluate the crack propagation the virtual crack extension technique is used to calculate the energy release rates for this mixed finite element. The element is configured from parent element in a natural (ξ, η) plane to simplify the calculations in each element of the simulation. An example taken from literature with kinking cracks in an orthotropic material is used, the results prove the efficiency of the proposed method. © 2021 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-revi w S ate : P er-r view under responsibility of the scientific committee of the IGF ExCo Keywords: Mixed finite element; Energy release rate; orthotropic materials; Kinking crack; IGF26 - 26th International Conference on Fracture and Structural Integrity Mixed Finite Element for Kinking Crack Analysis in an Orthotropic Media Derouiche Sami a *, Bouziane Salah a,b , Bouzerd Hamoudi a,b a Civil engineering department, University of August 20, 1955, Skikda, Algeria. b Laboratory of Civil Engineering and Hydraulics, University of May 8, 1945, Guelma, Algeria. Abstract Due to the attention brought to the composites materials, it is becoming mandatory to study their mechanical behavior especially in the fracture mechanics cases to determine and follow their conduct in a damaged state. To achieve this, numerical methods have been adapted to simulate the phenomenon of fracture within different materials and in different cases. In this work, an enrichment for modelling kinking cracks in orthotropic media has been added to a newly developed two-dimensional mixed finite element. To evaluate the crack propagation the virtual crack extension technique is used to calculate the energy release rates for this mixed finite element. The element is configured from parent element in a natural (ξ, η) plane to simplify the calculations in each element of the simulation. An example taken from literature with kinking cracks in an orthotropic material is used, the results prove the efficiency of the proposed method. IGF26 - 26th International Conference on Fracture and Structural Integrity Mixed Finite Element for Kinking Crack Analysis in an Orthotropic Media Derouiche Sami a *, Bouziane Salah a,b , Bouzerd Hamoudi a,b a Civil engineering d partment, University of August 20, 1955, Skikda, Algeri . b Laboratory of Civil Engineering and Hydraulics, University of May 8, 1945, Guelma, Algeria.

* Corresponding author. E-mail address: sami.derouiche25@gmail.com * Corresponding uthor. E-mail address: sami.derouiche25@gmail.com

2452-3216 © 2021 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 Statement: Peer-review under responsibility of the scientific committee of the IGF ExCo 2452-3216 © 2021 The Authors. Published by ELSEVIER B.V. This is an open acc ss article und r the CC BY-NC-ND licens (https:// reativecommons.org/licenses/by-nc-nd/4.0) Peer-review Statement: Peer-review under responsibility of the scientific committee of the IGF ExCo

2452-3216 © 2021 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 scientific committee of the IGF ExCo 10.1016/j.prostr.2021.10.110