Kollmannsberger, StefanStefanKollmannsbergerD'Angella, DavideDavideD'AngellaRank, ErnstErnstRankGarhuom, WadhahWadhahGarhuomHubrich, SimeonSimeonHubrichDüster, AlexanderAlexanderDüsterStolfo, Paolo DiPaolo DiStolfoSchröder, AndreasAndreasSchröder2020-02-112020-02-112020-03-01GAMM Mitteilungen, Special Issue: Reliable Simulation Techniques in Solid Mechanics – Part I: 1 (43) (2020-03-01)http://hdl.handle.net/11420/4852In 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, Ck hp-basis functions based on classical B-splines and a new approach for the construction of C1 hp-basis 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 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 Ck hp-basis functions based on B-splines is investigated in the context of nonlinear material models, namely hyperelasticity and elastoplasicity with finite strains.en1522-260820201117Wiley-VCHhttps://creativecommons.org/licenses/by/4.0/continuityfinite cell methodfinite strain elastoplasticityhierarchical B-splineshp-basislocal refinementTechnikJournal Article10.15480/882.267310.1002/gamm.20200000410.15480/882.2673Journal Article