The finite cell method for nearly incompressible finite strain plasticity problems with complex geometries

Journal
Computers and mathematics with applications  
Volume
75
Issue
9
Start Page
3298
End Page
3316
Citation
Computers and Mathematics with Applications 9 (75): 3298-3316 (2018-05-01)
Publisher DOI
10.1016/j.camwa.2018.01.048
Scopus ID
2-s2.0-85044846348
In this paper, the performance of the Finite Cell Method is studied for nearly incompressible finite strain plasticity problems. The Finite Cell Method is a combination of the fictitious domain approach with the high-order Finite Element Method. It provides easy mesh generation capabilities for highly complex geometries; moreover, this method offers high convergence rates, the possibility to overcome locking and robustness against high mesh distortions. The performance of this method is numerically investigated based on computations of benchmark and applied problems. The results are also verified with the h- and p-version Finite Element Method. It is demonstrated that the Finite Cell Method is an appropriate simulation tool for large plastic deformations of structures with complex geometries and microstructured materials, such as porous and cellular metals that are made up of ductile materials obeying nearly incompressible J2 theory of plasticity.
More Funding Information
The first author would like to acknowledge the support of the German Academic Exchange Service (DAAD) . The third and the fourth author also gratefully acknowledge the support provided by the German Research Foundation (DFG) under Grant DU405/7-1 . Appendix