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, 22
doi: 10.1002/pamm.202200114
Artikel, Bibliographie
Dies ist die neueste Version dieses Eintrags.
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: | Bibliographie |
| Titel: | Dynamic Crack Propagation in a Lattice Boltzmann Method for Solid Mechanics |
| Sprache: | Englisch |
| Publikationsjahr: | 2023 |
| Ort: | Hoboken, New Jersey, USA |
| Ort der Erstveröffentlichung: | Weinheim |
| Verlag: | Wiley-VCH |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | PAMM - Proceedings in Applied Mathematics & Mechanics |
| Jahrgang/Volume einer Zeitschrift: | 22 |
| Kollation: | 6 Seiten |
| DOI: | 10.1002/pamm.202200114 |
| Zugehörige Links: | |
| 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. |
| Zusätzliche Informationen: | Artikel-ID: e202200114; 92nd Annual Meeting of the International Associtatin of Applied Mathematics and Mechanics (GAMM), Aachen, Germany, 15.08. - 19.08.2023 |
| 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: | 05 Okt 2023 04:52 |
| Letzte Änderung: | 08 Mai 2024 08:22 |
| PPN: | 512641587 |
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| Suche nach Titel in: | TUfind oder in Google |
Verfügbare Versionen dieses Eintrags
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Dynamic Crack Propagation in a Lattice Boltzmann Method for Solid Mechanics. (deposited 27 Nov 2023 13:46)
- Dynamic Crack Propagation in a Lattice Boltzmann Method for Solid Mechanics. (deposited 05 Okt 2023 04:52) [Gegenwärtig angezeigt]
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