Publication Details |
| Category | Text Publication |
| Reference Category | Journals |
| DOI | 10.1002/nme.7127 |
| Document | Shareable Link |
| Title (Primary) | An asynchronous variational integrator for the phase field approach to dynamic fracture |
| Author | Niu, Z.; Ziaei-Rad, V.; Wu, Z.; Shen, Y. |
| Source Titel | International Journal for Numerical Methods in Engineering |
| Year | 2023 |
| Department | ENVINF |
| Volume | 124 |
| Issue | 2 |
| Page From | 434 |
| Page To | 457 |
| Language | englisch |
| Topic | T5 Future Landscapes |
| Keywords | phase field approach; synchronous variational integrators; dynamic fracture; computational efficiency |
| Abstract | The phase field approach is widely used to model fracture behaviors due to the absence of the need to track the crack topology and the ability to predict crack nucleation and branching. In this work, the asynchronous variational integrator (AVI) is adapted for the phase field approach of dynamic brittle fracture. The AVI is derived from Hamilton's principle and allows each element in the mesh to have its own local time step that may be different from others'. While the displacement field is explicitly updated, the phase field is implicitly solved, with upper and lower bounds strictly and conveniently enforced. In particular, two important variants of the phase field approach, the AT1 and AT2 models, are equally easily implemented. Several benchmark problems are used to study the performances of both the AT1 and AT2 models, and the results show that the AVI for the phase field approach significantly speeds up the computational efficiency and successfully captures the complicated dynamic fracture behavior. |
| Persistent UFZ Identifier | https://www.ufz.de/index.php?en=20939&ufzPublicationIdentifier=26625 |
| Niu, Z., Ziaei-Rad, V., Wu, Z., Shen, Y. (2023): An asynchronous variational integrator for the phase field approach to dynamic fracture Int. J. Numer. Methods Eng. 124 (2), 434 - 457 10.1002/nme.7127 |
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