In this paper, we study plane incompressible elastic problems by means of a “stream-function” formulation such that a divergence-free displacement field can be computed from a scalar potential. The numerical scheme is constructed within the framework of NURBS-based isogeometric analysis and we take advantage of the high continuity guaranteed by NURBS basis functions in order to obtain the displacement field from the potential differentiation. As a consequence, the obtained numerical scheme is automatically locking-free in the presence of the incompressibility constraint. A Discontinuous Galerkin approach is proposed to deal with multiple mapped, possibly multiply connected, domains. Extensive numerical results are provided to show the method capabilities.
Auricchio, F., Beirao da Veiga, L., Buffa, A., Lovadina, C., Reali, A., & Sangalli, G. (2007). A fully "locking-free" isogeometric approach for plane linear elasticity problems : a stream function formulation. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 197(1-4), 160-172 [10.1016/j.cma.2007.07.005].
Citazione: | Auricchio, F., Beirao da Veiga, L., Buffa, A., Lovadina, C., Reali, A., & Sangalli, G. (2007). A fully "locking-free" isogeometric approach for plane linear elasticity problems : a stream function formulation. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 197(1-4), 160-172 [10.1016/j.cma.2007.07.005]. | |
Tipo: | Articolo in rivista - Articolo scientifico | |
Carattere della pubblicazione: | Scientifica | |
Presenza di un coautore afferente ad Istituzioni straniere: | No | |
Titolo: | A fully "locking-free" isogeometric approach for plane linear elasticity problems : a stream function formulation | |
Autori: | Auricchio, F; Beirao da Veiga, L; Buffa, A; Lovadina, C; Reali, A; Sangalli, G | |
Autori: | ||
Data di pubblicazione: | 2007 | |
Lingua: | English | |
Rivista: | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.cma.2007.07.005 | |
Appare nelle tipologie: | 01 - Articolo su rivista |