Müller, Henning ; Schlüter, Alexander ; Müller, Ralf (2023)
Dynamic Crack Propagation in a Lattice Boltzmann Method for Solid Mechanics.
In: PAMM - Proceedings in Applied Mathematics & Mechanics, 2023, 22 (1)
doi: 10.26083/tuprints-00023691
Article, Secondary publication, Publisher's Version
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| Item Type: | Article |
|---|---|
| Type of entry: | Secondary publication |
| Title: | Dynamic Crack Propagation in a Lattice Boltzmann Method for Solid Mechanics |
| Language: | English |
| Date: | 27 November 2023 |
| Place of Publication: | Darmstadt |
| Year of primary publication: | 2023 |
| Place of primary publication: | Weinheim |
| Publisher: | Wiley-VCH |
| Journal or Publication Title: | PAMM - Proceedings in Applied Mathematics & Mechanics |
| Volume of the journal: | 22 |
| Issue Number: | 1 |
| Collation: | 6 Seiten |
| DOI: | 10.26083/tuprints-00023691 |
| Corresponding Links: | |
| Origin: | Secondary publication DeepGreen |
| Abstract: | In recent years, Lattice Boltzmann methods (LBMs) have been adapted and developed to simulate the behavior of solids. They have already been applied to fractures as well. However, until now, our previous work has been restricted to stationary cracks. In this work, we regard the reduced 2D case of anti‐plane shear deformation with mode III crack opening. The wave equation is the governing equation for this problem, which is solved via an LBM. The main contribution of this work is the introduction of an algorithm to handle crack growth in an LBM for solids. The underlying scheme is based on geometric assumptions, which is well suited for the regular lattice used by the LBM. A fracture criterion based on the stress intensity factor is implemented and illustrated by a numerical example. |
| Identification Number: | e202200114 |
| Status: | Publisher's Version |
| URN: | urn:nbn:de:tuda-tuprints-236912 |
| Additional Information: | Special Issue: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) |
| Classification DDC: | 600 Technology, medicine, applied sciences > 620 Engineering and machine engineering |
| Divisions: | 13 Department of Civil and Environmental Engineering Sciences > Mechanics > Continuum Mechanics |
| Date Deposited: | 27 Nov 2023 13:46 |
| Last Modified: | 08 Jan 2024 08:25 |
| SWORD Depositor: | Deep Green |
| URI: | https://tuprints.ulb.tu-darmstadt.de/id/eprint/23691 |
| PPN: | 514473436 |
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