A fully ''locking-free'' isogeometric approach for plane linear elasticity problems: A stream function formulation

By Ferdinando Auricchio, L. Beirão da Veiga, Annalisa Buffa, Carlo Lovadina, Alessandro Reali, Giancarlo Sangalli. 2007

250 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/5a2e94ff15800a4e52e1da88dc5d3574ecfcbe3b

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In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

Mathematical analysis of variational isogeometric methods* (2014, methodology): “…in the analysis: we refer to the results obtained for the Stokes problem in Bressan (2011), Bressan and Sangalli (2013), Evans and Hughes (2013a), Auricchio et al. (2007), Buffa et al. (2011a), for Navier–Stokes in Evans and Hughes (2013b, 2013c), for the plate problem in Beirão da Veiga et al.…”
Isogeometric finite element analysis of composite sandwich plates using a higher order shear deformation theory (2013, background): “e, zero values, on the deflection variable at control points xA adjacent to the boundary control points xD [55].”
Isogeometric contact analysis using mortar method (2012, background): “Moreover, it was presented that the isogeometric analysis can provide outstanding performances in numerical problems with locking [11] and severe mesh distortion [12].”
Isogeometric design of elastic arches for maximum fundamental frequency (2011, background): “The superiority of the isogeometric framework over standard polynomial-based finite element analysis is argued from numerous perspectives as discussed in Bazilevs et al. (2006) and Evans et al. (2009).”
Isogeometric analysis: An overview and computer implementation aspects (2012, background): “(i) Although the smoothness of NURBS basis functions reduces to some extent the locking phenomena for constrained problems such as incompressible media, thin-walled structures, NURBS-based FEs are not locking free [82, 83, 84, 85, 86].”
Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory (2014, background): “e, zero values, on the deflection variable at control points xA adjacent to the boundary control points xD [41].”
Isogeometric analysis in electromagnetics: B-splines approximation (2010, background): “Then, its potential has been shown in the recent engineering literature (e.g., [3] [5] [14]).”