Proceedings of The 3rd International Conference on Mathematics and Science Education (ICMSE-2024)

Adaptive Finite Element Method for Simulating Crack Propagation Using the Phase Field Model in Three-Dimensional Domains

Authors
Sayahdin Alfat1, *, Asrun Safiuddin2, Naim Naim1, Mardiana Napirah1, Abdin Abdin2, Kasman Kasman2
1Physics Education Department, Halu Oleo University, Kendari, Southeast Sulawesi, Indonesia
2Vocational Engineering Education Department, Halu Oleo University, Kendari, Southeast Sulawesi, Indonesia
*Corresponding author. Email: sayahdin.alfat@yahoo.com
Corresponding Author
Sayahdin Alfat
Available Online 14 May 2025.
DOI
10.2991/978-2-38476-402-0_10How to use a DOI?
Keywords
Phase Field Model; Crack Propagation; Adaptive Finite Element Method; 3D; Mixed Mode; FreeFEM
Abstract

Research on crack propagation using the phase field model has gained significant attention in recent years. However, several aspects remain unexplored, such as crack propagation in three-dimensional domains. This study aims to model crack growth in three-dimensional domains using the phase field model. In this work, the three-dimensional domain is considered as a homogeneous and isotropic material. To solve the crack propagation equations, we employ the anisotropic adaptive finite element method, which is effectively implemented using the FreeFEM software. The results of this study demonstrate that an initially inclined crack rotates and becomes horizontal as it propagates, indicating a Mixed Mode Crack. This study provides qualitative results consistent with other research that does not utilize the anisotropic adaptive finite element method.

Copyright
© 2025 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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Volume Title
Proceedings of The 3rd International Conference on Mathematics and Science Education (ICMSE-2024)
Series
Advances in Social Science, Education and Humanities Research
Publication Date
14 May 2025
ISBN
978-2-38476-402-0
ISSN
2352-5398
DOI
10.2991/978-2-38476-402-0_10How to use a DOI?
Copyright
© 2025 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Cite this article

TY  - CONF
AU  - Sayahdin Alfat
AU  - Asrun Safiuddin
AU  - Naim Naim
AU  - Mardiana Napirah
AU  - Abdin Abdin
AU  - Kasman Kasman
PY  - 2025
DA  - 2025/05/14
TI  - Adaptive Finite Element Method for Simulating Crack Propagation Using the Phase Field Model in Three-Dimensional Domains
BT  - Proceedings of The 3rd International Conference on Mathematics and Science Education (ICMSE-2024)
PB  - Atlantis Press
SP  - 82
EP  - 94
SN  - 2352-5398
UR  - https://doi.org/10.2991/978-2-38476-402-0_10
DO  - 10.2991/978-2-38476-402-0_10
ID  - Alfat2025
ER  -