Adaptive fourth-order phase-field modeling of ductile fracture using an isogeometric-meshfree approach
The fourth-order phase-field modeling of ductile fracture in elastic–plastic materials is performed via an adaptive isogeometric-meshfree approach. In the developed phase-field model, the total energy functional consists of the elastic contribution and the dissipated contribution because of fracture...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/169037 |
| _version_ | 1824456247529701376 |
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| author | Li, Weidong Ambati, Marreddy Nguyen-Thanh, Nhon Du, Hejun Zhou, Kun |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Li, Weidong Ambati, Marreddy Nguyen-Thanh, Nhon Du, Hejun Zhou, Kun |
| author_sort | Li, Weidong |
| collection | NTU |
| description | The fourth-order phase-field modeling of ductile fracture in elastic–plastic materials is performed via an adaptive isogeometric-meshfree approach. In the developed phase-field model, the total energy functional consists of the elastic contribution and the dissipated contribution because of fracture and plasticity. The coupling of the plasticity to fracture is implemented by a degradation function that is applied to the elastic energy. The present fourth-order phase-field model is capable of relaxing the mesh size requirements while accurately regularizing sharp cracks. To further enhance the computational efficiency, the isogeometric-meshfree approach is adopted for the numerical implementation of the phase-field model within a staggered computational framework. The developed approach can flexibly implement the C1-continuity of a crack phase field that is required by the fourth-order model. Moreover, an adaptive mesh refinement strategy is developed, which includes the gradient-based refinement indicators and the field transfer operators. Numerical simulations of a series of representative cases show that the developed fourth-order model can accurately and efficiently capture complex ductile fracture patterns including plastic localization, crack initiation, propagation, and merging, which demonstrates the reliability of the adaptive fourth-order phase-field modeling of ductile fracture. |
| first_indexed | 2025-02-19T03:51:04Z |
| format | Journal Article |
| id | ntu-10356/169037 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2025-02-19T03:51:04Z |
| publishDate | 2023 |
| record_format | dspace |
| spelling | ntu-10356/1690372023-06-27T06:36:00Z Adaptive fourth-order phase-field modeling of ductile fracture using an isogeometric-meshfree approach Li, Weidong Ambati, Marreddy Nguyen-Thanh, Nhon Du, Hejun Zhou, Kun School of Mechanical and Aerospace Engineering Engineering::Mechanical engineering Ductile Fracture Isogeometric-Meshfree Approach The fourth-order phase-field modeling of ductile fracture in elastic–plastic materials is performed via an adaptive isogeometric-meshfree approach. In the developed phase-field model, the total energy functional consists of the elastic contribution and the dissipated contribution because of fracture and plasticity. The coupling of the plasticity to fracture is implemented by a degradation function that is applied to the elastic energy. The present fourth-order phase-field model is capable of relaxing the mesh size requirements while accurately regularizing sharp cracks. To further enhance the computational efficiency, the isogeometric-meshfree approach is adopted for the numerical implementation of the phase-field model within a staggered computational framework. The developed approach can flexibly implement the C1-continuity of a crack phase field that is required by the fourth-order model. Moreover, an adaptive mesh refinement strategy is developed, which includes the gradient-based refinement indicators and the field transfer operators. Numerical simulations of a series of representative cases show that the developed fourth-order model can accurately and efficiently capture complex ductile fracture patterns including plastic localization, crack initiation, propagation, and merging, which demonstrates the reliability of the adaptive fourth-order phase-field modeling of ductile fracture. National Research Foundation (NRF) This work was supported by the National Research Foundation, Prime Minister’s Office, Singapore under its Medium-Sized Centre funding scheme through the Marine and Offshore Program. 2023-06-27T06:36:00Z 2023-06-27T06:36:00Z 2023 Journal Article Li, W., Ambati, M., Nguyen-Thanh, N., Du, H. & Zhou, K. (2023). Adaptive fourth-order phase-field modeling of ductile fracture using an isogeometric-meshfree approach. Computer Methods in Applied Mechanics and Engineering, 406, 115861-. https://dx.doi.org/10.1016/j.cma.2022.115861 0045-7825 https://hdl.handle.net/10356/169037 10.1016/j.cma.2022.115861 2-s2.0-85147197004 406 115861 en Computer Methods in Applied Mechanics and Engineering © 2022 Elsevier B.V. All rights reserved. |
| spellingShingle | Engineering::Mechanical engineering Ductile Fracture Isogeometric-Meshfree Approach Li, Weidong Ambati, Marreddy Nguyen-Thanh, Nhon Du, Hejun Zhou, Kun Adaptive fourth-order phase-field modeling of ductile fracture using an isogeometric-meshfree approach |
| title | Adaptive fourth-order phase-field modeling of ductile fracture using an isogeometric-meshfree approach |
| title_full | Adaptive fourth-order phase-field modeling of ductile fracture using an isogeometric-meshfree approach |
| title_fullStr | Adaptive fourth-order phase-field modeling of ductile fracture using an isogeometric-meshfree approach |
| title_full_unstemmed | Adaptive fourth-order phase-field modeling of ductile fracture using an isogeometric-meshfree approach |
| title_short | Adaptive fourth-order phase-field modeling of ductile fracture using an isogeometric-meshfree approach |
| title_sort | adaptive fourth order phase field modeling of ductile fracture using an isogeometric meshfree approach |
| topic | Engineering::Mechanical engineering Ductile Fracture Isogeometric-Meshfree Approach |
| url | https://hdl.handle.net/10356/169037 |
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