TU Darmstadt / ULB / TUprints

Dynamic Crack Propagation in a Lattice Boltzmann Method for Solid Mechanics

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

[img] Text
Copyright Information: CC BY 4.0 International - Creative Commons, Attribution.

Download (1MB)
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

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
Actions (login required)
View Item View Item