PSI - Issue 58

ScienceDirect Structural Integrity Procedia 00 (2023) 000–000 Structural Integrity Procedia 00 (2023) 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 58 (2024) 115–121

© 2024 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 ICSID 2023 Organizers Abstract Fracture analysis of functionally graded plates is a challenging problem in materials engineering due to the complex material behavior and the presence of cracks. In this study, we propose an efficient open-source MOOSE implementation of phase field fracture analysis of functionally graded. Automatically oriented exponential finite elements are used to discretize the model, which allows for efficient and accurate computation of the fracture behavior. The functionally graded material properties are modeled using a power law function, which captures the variation of material properties along the thickness direction of the plate. The phase field model is coupled with a finite element solver to simulate the mechanical response of the plate under loading. The proposed implementation is validated using several benchmark problems available in literature. The results show that the proposed MOOSE implementation provides accurate predictions of the crack propagation and fracture behavior of functionally graded plates. © 2024 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 ICSID 2023 Organizers Keywords: Crack; Phase-field; MOOSE; Functionally graded materials; Fracture 1. Introduction Functionally graded materials (FGMs) have gained significant attention in recent years for their versatile applications in aerospace, energy, and biomedical engineering, thanks to their unique composition and microstructure variations across their volume. While FGMs exhibit exceptional mechanical and thermal properties, the challenge of understanding and predicting fracture behavior within these intricate structures remains a critical concern. 7th International Conference on Structural Integrity and Durability (ICSID 2023) An open-source moose implementation of phase-field modeling of fracture in functionally graded materials P.C. Sidharth a , B.N. Rao a, * a Indian Institute of Technology Madras, Chennai, Tamilnadu, 600036, India Abstract Fracture analysis of functionally graded plates is a challenging problem in materials engineering due to the complex material behavior and the presence of cracks. In this study, we propose an efficient open-source MOOSE implementation of phase field fracture analysis of functionally graded. Automatically oriented exponential finite elements are used to discretize the model, which allows for efficient and accurate computation of the fracture behavior. The functionally graded material properties are modeled using a power law function, which captures the variation of material properties along the thickness direction of the plate. The phase field model is coupled with a finite element solver to simulate the mechanical response of the plate under loading. The proposed implementation is validated using several benchmark problems available in literature. The results show that the proposed MOOSE implementation provides accurate predictions of the crack propagation and fracture behavior of functionally graded plates. © 2024 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 ICSID 2023 Organizers Keywords: Crack; Phase-field; MOOSE; Functionally graded materials; Fracture 1. Introduction Functionally graded materials (FGMs) have gained significant attention in recent years for their versatile applications in aerospace, energy, and biomedical engineering, thanks to their unique composition and microstructure variations across their volume. While FGMs exhibit exceptional mechanical and thermal properties, the challenge of understanding and predicting fracture behavior within these intricate structures remains a critical concern. 7th International Conference on Structural Integrity and Durability (ICSID 2023) An open-source moose implementation of phase-field modeling of fracture in functionally graded materials P.C. Sidharth a , B.N. Rao a, * a Indian Institute of Technology Madras, Chennai, Tamilnadu, 600036, India

* Corresponding author. Tel.: +91-044-22574285 E-mail address: bnrao@iitm.ac.in * Corresponding author. Tel.: +91-044-22574285 E-mail address: bnrao@iitm.ac.in

2452-3216 © 2024 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 ICSID 2023 Organizers 2452-3216 © 2024 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 ICSID 2023 Organizers

2452-3216 © 2024 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 ICSID 2023 Organizers 10.1016/j.prostr.2024.05.019