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Publisher DOI: 10.1007/s10704-021-00560-9
Title: Study on the cohesive edge crack in a square plate with the cohesive element method
Language: English
Authors: Kellner, Leon  
Lu, Wenjun 
Ehlers, Sören 
Høyland, Knut V. 
Keywords: Cohesive element method; Cohesive zone; Edge crack; Linear softening; Rectangular softening; Size effect
Issue Date: 1-Jul-2021
Publisher: Springer Science + Business Media B.V
Source: International Journal of Fracture 231 (1): 21-41 (2021-09)
Abstract (english): 
The size of the fully developed process zone (FDPZ) is needed for the arrangement of displacement sensors in fracture experiments and choosing element size in numerical models using the cohesive element method (CEM). However, the FDPZ size is generally not known beforehand. Analytical solutions for the exact FDPZ size only exist for highly idealised bodies, e.g. semi-infinite plates. With respect to fracture testing, the CEM is also a potential tool to extrapolate laboratory test results to full-scale while considering the size effect. A numerical CEM-based model is built to compute the FDPZ size for an edge crack in a finite square plate of different lengths spanning several magnitudes. It is validated against existing analytical solutions. After successful validation, the FDPZ size of finite plates is calculated with the same numerical scheme. The (FDPZ) size for finite plates is influenced by the cracked plate size and physical crack length. Maximum cohesive zone sizes are given for rectangular and linear softening. Further, for this setup, the CEM-based numerical model captures the size effect and can be used to extrapolate small-scale test results to full-scale.
DOI: 10.15480/882.3827
ISSN: 1573-2673
Journal: International journal of fracture 
Institute: Konstruktion und Festigkeit von Schiffen M-10 
Document Type: Article
Project: Entwicklung und Simulation eines Mehrskalen-Materialmodells für das spröde Verhalten von Eis bei Struktur-Interaktion 
Projekt DEAL 
Funded by: Deutsche Forschungsgemeinschaft (DFG) 
More Funding information: Wenjun Lu was funded by VISTA- a basic research programme in collaboration between The Norwegian Academy of Science and Letters, and Equinor.
License: CC BY 4.0 (Attribution) CC BY 4.0 (Attribution)
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