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Publisher DOI: 10.3390/ma15010240
Title: Combining H-adaptivity with the element splitting method for crack simulation in large structures
Language: English
Authors: Song, Shi 
Braun, Moritz  
Wiegard, Bjarne 
Herrnring, Hauke  
Ehlers, Sören 
Keywords: finite element method; mesh strategy; linear elastic fracture mechanics; mesh refinement; fracture mechanics; numerical crack; h-AES method; interelement method; edge separation; crack propagation
Issue Date: 1-Jan-2022
Publisher: Multidisciplinary Digital Publishing Institute
Source: Materials 15 (1): 240 (2022-01-01)
Abstract (english): 
H-adaptivity is an effective tool to introduce local mesh refinement in the FEM-based numerical simulation of crack propagation. The implementation of h-adaptivity could benefit the numerical simulation of fatigue or accidental load scenarios involving large structures, such as ship hulls. Meanwhile, in engineering applications, the element deletion method is frequently used to represent cracks. However, the element deletion method has some drawbacks, such as strong mesh dependency and loss of mass or energy. In order to mitigate this problem, the element splitting method could be applied. In this study, a numerical method called ‘h-adaptive element splitting’ (h-AES) is introduced. The h-AES method is applied in FEM programs by combining h-adaptivity with the element splitting method. Two examples using the h-AES method to simulate cracks in large structures under linear-elastic fracture mechanics scenario are presented. The numerical results are verified against analytical solutions. Based on the examples, the h-AES method is proven to be able to introduce mesh refinement in large-scale numerical models that mostly consist of structured coarse meshes, which is also beneficial to the reduction of computational resources. By employing the h-AES method, very small cracks are well represented in large structures without any deletions of elements.
DOI: 10.15480/882.4084
ISSN: 1996-1944
Journal: Materials 
Other Identifiers: doi: 10.3390/ma15010240
Institute: Konstruktion und Festigkeit von Schiffen M-10 
Document Type: Article
Project: Optimierung von großen und komplexen Strukturen im frühen Entwurfsstadium unter Berücksichtigung von Schäden 
Publikationsfonds 2021 
Funded by: Deutsche Forschungsgemeinschaft (DFG) 
More Funding information: We acknowledge support for the Open Access fees by Hamburg University of Technology (TUHH) in the funding programme Open Access Publishing.
License: CC BY 4.0 (Attribution) CC BY 4.0 (Attribution)
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