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
Artikel, Zweitveröffentlichung, Verlagsversion
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Kurzbeschreibung (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.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2023 |
| Autor(en): | Müller, Henning ; Schlüter, Alexander ; Müller, Ralf |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | Dynamic Crack Propagation in a Lattice Boltzmann Method for Solid Mechanics |
| Sprache: | Englisch |
| Publikationsjahr: | 27 November 2023 |
| Ort: | Darmstadt |
| Publikationsdatum der Erstveröffentlichung: | 2023 |
| Ort der Erstveröffentlichung: | Weinheim |
| Verlag: | Wiley-VCH |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | PAMM - Proceedings in Applied Mathematics & Mechanics |
| Jahrgang/Volume einer Zeitschrift: | 22 |
| (Heft-)Nummer: | 1 |
| Kollation: | 6 Seiten |
| DOI: | 10.26083/tuprints-00023691 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/23691 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichung DeepGreen |
| Kurzbeschreibung (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. |
| ID-Nummer: | e202200114 |
| Status: | Verlagsversion |
| URN: | urn:nbn:de:tuda-tuprints-236912 |
| Zusätzliche Informationen: | Special Issue: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften und Maschinenbau |
| Fachbereich(e)/-gebiet(e): | 13 Fachbereich Bau- und Umweltingenieurwissenschaften 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik > Fachgebiet Kontinuumsmechanik |
| Hinterlegungsdatum: | 27 Nov 2023 13:46 |
| Letzte Änderung: | 28 Nov 2023 12:49 |
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| Suche nach Titel in: | TUfind oder in Google |
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- Dynamic Crack Propagation in a Lattice Boltzmann Method for Solid Mechanics. (deposited 27 Nov 2023 13:46) [Gegenwärtig angezeigt]
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