Work

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

Year: 2024

Type: article

Abstract: 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.

Source: Archive of Applied Mechanics

DOI: 10.1007/s00419-024-02644-z

Authors: Roman Sartorti, Wadhah Garhuom, Alexander Düster

Institution: Hamburg University of Technology

Language: English

Topic: Numerical methods in engineering

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,890

Funder: Deutsche Forschungsgemeinschaft