In:
GAMM-Mitteilungen, Wiley, Vol. 43, No. 1 ( 2020-03)
Abstract:
In this paper, the use of hp ‐basis functions with higher differentiability properties is discussed in the context of the finite cell method and numerical simulations on complex geometries. For this purpose, C k hp ‐basis functions based on classical B‐splines and a new approach for the construction of C 1 hp ‐basis functions with minimal local support are introduced. Both approaches allow for hanging nodes, whereas the new C 1 approach also includes varying polynomial degrees. The properties of the hp ‐basis 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 C k hp ‐basis functions based on B‐splines is investigated in the context of nonlinear material models, namely hyperelasticity and elastoplasicity with finite strains.
Type of Medium:
Online Resource
ISSN:
0936-7195
,
1522-2608
DOI:
10.1002/gamm.202000004
Language:
English
Publisher:
Wiley
Publication Date:
2020
detail.hit.zdb_id:
2250020-0
detail.hit.zdb_id:
2365260-3
detail.hit.zdb_id:
209712-6
