A coupling approach of the isogeometric–meshfree method and peridynamics for static and dynamic crack propagation
A coupling approach of the isogeometric–meshfree method and the peridynamic method is developed for static and dynamic crack propagation. The coupling approach exhibits advantages in the flexibility of modeling cracks and the exactness of geometry representation. The isogeometric–meshfree method, wh...
| 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/10356/172060 |
| _version_ | 1826121861552930816 |
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| author | Zhang, Qi Nguyen-Thanh, Nhon Li, Weidong Zhang, A-Man Li, Shaofan Zhou, Kun |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Zhang, Qi Nguyen-Thanh, Nhon Li, Weidong Zhang, A-Man Li, Shaofan Zhou, Kun |
| author_sort | Zhang, Qi |
| collection | NTU |
| description | A coupling approach of the isogeometric–meshfree method and the peridynamic method is developed for static and dynamic crack propagation. The coupling approach exhibits advantages in the flexibility of modeling cracks and the exactness of geometry representation. The isogeometric–meshfree method, which adopts the moving least-squares approximations to establish the equivalence between meshfree shape functions and isogeometric basis functions, is capable of obtaining the exact geometry. The isogeometric–meshfree nodes located on the geometry can be directly coupled with peridynamic points by the balanced force principle, which is straightforward and effective. With this approach, the boundary conditions can be enforced directly using the isogeometric–meshfree method, and the surface effects of peridynamics are effectively eliminated. Moreover, the present approach is flexible in switching the isogeometric–meshfree nodes to peridynamic points and achieving adaptive coupling with the same convergence rate as the one for the isogeometric–meshfree method, which is higher than the one for the original peridynamic method. The dual-horizon peridynamic method is adopted for non-uniform discretization. Based on the exact geometry representation, the coupling approach is further extended to crack problems with contact loading. Several representative examples are presented to validate the effectiveness of the present approach in solving static/dynamic crack problems and studying fractures caused by contact. |
| first_indexed | 2024-10-01T05:39:05Z |
| format | Journal Article |
| id | ntu-10356/172060 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:39:05Z |
| publishDate | 2023 |
| record_format | dspace |
| spelling | ntu-10356/1720602023-11-21T01:50:03Z A coupling approach of the isogeometric–meshfree method and peridynamics for static and dynamic crack propagation Zhang, Qi Nguyen-Thanh, Nhon Li, Weidong Zhang, A-Man Li, Shaofan Zhou, Kun School of Mechanical and Aerospace Engineering Engineering::Mechanical engineering Isogeometric–Meshfree Method Peridynamics A coupling approach of the isogeometric–meshfree method and the peridynamic method is developed for static and dynamic crack propagation. The coupling approach exhibits advantages in the flexibility of modeling cracks and the exactness of geometry representation. The isogeometric–meshfree method, which adopts the moving least-squares approximations to establish the equivalence between meshfree shape functions and isogeometric basis functions, is capable of obtaining the exact geometry. The isogeometric–meshfree nodes located on the geometry can be directly coupled with peridynamic points by the balanced force principle, which is straightforward and effective. With this approach, the boundary conditions can be enforced directly using the isogeometric–meshfree method, and the surface effects of peridynamics are effectively eliminated. Moreover, the present approach is flexible in switching the isogeometric–meshfree nodes to peridynamic points and achieving adaptive coupling with the same convergence rate as the one for the isogeometric–meshfree method, which is higher than the one for the original peridynamic method. The dual-horizon peridynamic method is adopted for non-uniform discretization. Based on the exact geometry representation, the coupling approach is further extended to crack problems with contact loading. Several representative examples are presented to validate the effectiveness of the present approach in solving static/dynamic crack problems and studying fractures caused by contact. This work was conducted at Nanyang Technological University and supported by the National Natural Science Foundation of China (Grant Nos. 52088102 and 51925904). Q. Zhang acknowledges the support of the State Scholarship Fund from the China Scholarship Council (No. 202106680024). 2023-11-21T01:50:03Z 2023-11-21T01:50:03Z 2023 Journal Article Zhang, Q., Nguyen-Thanh, N., Li, W., Zhang, A., Li, S. & Zhou, K. (2023). A coupling approach of the isogeometric–meshfree method and peridynamics for static and dynamic crack propagation. Computer Methods in Applied Mechanics and Engineering, 410, 115904-. https://dx.doi.org/10.1016/j.cma.2023.115904 0045-7825 https://hdl.handle.net/10356/172060 10.1016/j.cma.2023.115904 2-s2.0-85150241780 410 115904 en Computer Methods in Applied Mechanics and Engineering © 2023 Elsevier B.V. All rights reserved. |
| spellingShingle | Engineering::Mechanical engineering Isogeometric–Meshfree Method Peridynamics Zhang, Qi Nguyen-Thanh, Nhon Li, Weidong Zhang, A-Man Li, Shaofan Zhou, Kun A coupling approach of the isogeometric–meshfree method and peridynamics for static and dynamic crack propagation |
| title | A coupling approach of the isogeometric–meshfree method and peridynamics for static and dynamic crack propagation |
| title_full | A coupling approach of the isogeometric–meshfree method and peridynamics for static and dynamic crack propagation |
| title_fullStr | A coupling approach of the isogeometric–meshfree method and peridynamics for static and dynamic crack propagation |
| title_full_unstemmed | A coupling approach of the isogeometric–meshfree method and peridynamics for static and dynamic crack propagation |
| title_short | A coupling approach of the isogeometric–meshfree method and peridynamics for static and dynamic crack propagation |
| title_sort | coupling approach of the isogeometric meshfree method and peridynamics for static and dynamic crack propagation |
| topic | Engineering::Mechanical engineering Isogeometric–Meshfree Method Peridynamics |
| url | https://hdl.handle.net/10356/172060 |
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