TU Darmstadt / ULB / TUprints

Dynamic propagation of mode III cracks in a Lattice Boltzmann method for solids

Müller, Henning ; Touil, Ali ; Schlüter, Alexander ; Müller, Ralf (2025)
Dynamic propagation of mode III cracks in a Lattice Boltzmann method for solids.
In: Archive of Applied Mechanics, 2023, 93 (3)
doi: 10.26083/tuprints-00028465
Article, Secondary publication, Publisher's Version

[img] Text
s00419-022-02306-y.pdf
Copyright Information: CC BY 4.0 International - Creative Commons, Attribution.

Download (805kB)
Item Type: Article
Type of entry: Secondary publication
Title: Dynamic propagation of mode III cracks in a Lattice Boltzmann method for solids
Language: English
Date: 17 January 2025
Place of Publication: Darmstadt
Year of primary publication: March 2023
Place of primary publication: Berlin ; Heidelberg
Publisher: Springer
Journal or Publication Title: Archive of Applied Mechanics
Volume of the journal: 93
Issue Number: 3
DOI: 10.26083/tuprints-00028465
Corresponding Links:
Origin: Secondary publication DeepGreen
Abstract:

This work presents concepts and algorithms for the simulation of dynamic fractures with a Lattice Boltzmann method (LBM) for linear elastic solids. This LBM has been presented previously and solves the wave equation, which is interpreted as the governing equation for antiplane shear deformation. Besides the steady growth of a crack at a prescribed crack velocity, a fracture criterion based on stress intensity factors has been implemented. This is the first time that crack propagation with a mechanically relevant criterion is regarded in the context of LBMs. Numerical results are examined to validate the proposed method. The concepts of crack propagation introduced here are not limited to mode III cracks or the simplified deformation assumption of antiplane shear. By introducing a rather simple processing step into the existing LBM at the level of individual lattice sites, the overall performance of the LBM is maintained. Our findings underline the validity of the LBM as a numerical tool to simulate solids in general as well as dynamic fractures in particular.

Uncontrolled Keywords: Lattice Boltzmann method, Solids, Dynamic fracture mechanics, Computational engineering, Computational solid mechanics
Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-284657
Classification DDC: 600 Technology, medicine, applied sciences > 624 Civil engineering and environmental protection engineering
600 Technology, medicine, applied sciences > 690 Building and construction
Divisions: 13 Department of Civil and Environmental Engineering Sciences > Mechanics > Continuum Mechanics
Date Deposited: 17 Jan 2025 10:19
Last Modified: 17 Jan 2025 10:19
SWORD Depositor: Deep Green
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/28465
PPN:
Export:
Actions (login required)
View Item View Item