Remeshing and eigenvalue stabilization in the finite cell method for structures undergoing large elastoplastic deformations

Journal
Archive of applied mechanics  
Volume
94
Issue
9
Start Page
2745
End Page
2768
Citation
Archive of Applied Mechanics 94 (9): 2745-2768 (2024)
Publisher DOI
10.1007/s00419-024-02644-z
Scopus ID
2-s2.0-85199045642
Publisher
Springer
Large strain analysis is a challenging task, especially in fictitious or immersed boundary domain methods, since badly broken elements/cells can lead to an ill-conditioned global tangent stiffness matrix, resulting in convergence problems of the incremental/iterative solution approach. In this work, the finite cell method is employed as a fictitious domain approach, in conjunction with an eigenvalue stabilization technique, to ensure the stability of the solution procedure. Additionally, a remeshing strategy is applied to accommodate highly deformed configurations of the geometry. Radial basis functions and inverse distance weighting interpolation schemes are utilized to map the displacement gradient and internal variables between the old and new meshes during the remeshing process. For the first time, we demonstrate the effectiveness of the remeshing approach using various numerical examples in the context of finite strain elastoplasticity.
Subjects
Data transfer
Elastoplasticity
Finite cell method
Finite strains
Remeshing
Stabilization
DDC Class
620.11: Engineering Materials
519: Applied Mathematics, Probabilities
Lizenz
https://creativecommons.org/licenses/by/4.0/
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