| Autor: |
Kollmannsberger, Stefan, D'Angella, Davide, Rank, Ernst, Garhuom, Wadhah, Hubrich, Simeon, Düster, Alexander, Di Stolfo, Paolo, Schröder, Andreas |
| Jazyk: |
angličtina |
| Rok vydání: |
2019 |
| Předmět: |
|
| DOI: |
10.1002/gamm.202000004 |
| Popis: |
In this paper, the use of hpbasis functions with higher differentiability properties is discussed in the context of the finite cell method and numerical simulations on complex geometries. For this purpose, Ck hpbasis functions based on classical Bsplines and a new approach for the construction of C1 hpbasis functions with minimal local support are introduced. Both approaches allow for hanging nodes, whereas the new C1 approach also includes varying polynomial degrees. The properties of the hpbasis functions are studied in several numerical experiments, in which a linear elastic problem with some singularities is discretized with adaptive refinements. Furthermore, the application of the Ck hpbasis functions based on Bsplines is investigated in the context of nonlinear material models, namely hyperelasticity and elastoplasicity with finite strains. (VLID)4394408 |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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