Isogeometric analysis using T-splines

Y. Bazilevs (1) , V.M. Calo (2) , J.A. Cottrell (3) , J.A. Evans (3) , T.J.R. Hughes (3) , S. Lipton (3) , M.A. Scott (3) , T.W. Sederberg (4)

1 UC San Diego - University of California [San Diego]
2 KAUST - King Abdullah University of Science and Technology [Saudi Arabia]
3 ICES - Institute for Computational Engineering and Sciences [Austin]
4 BYU - Brigham Young University

We explore T-splines, a generalization of NURBS enabling local refinement, as a basis for isogeometric analysis. We review T-splines as a surface design methodology and then develop it for engineering analysis applications. We test T-splines on some elementary two-dimensional and three-dimensional fluid and structural analysis problems and attain good results in all cases. We summarize the current status of T-splines, their limitations, and future possibilities.

Mots clés: T-splines; NURBS; Isogeometric analysis; CAD; FEA; Fluid dynamics; Structural analysis; PB-splines

Domaines: Sciences de l'ingénieur [physics]

Y. Bazilevs, V.M. Calo, J.A. Cottrell, J.A. Evans, T.J.R. Hughes, et al.. Isogeometric analysis using T-splines. Computer Methods in Applied Mechanics and Engineering, 2010, 199, pp.229-263. ⟨10.1016/j.cma.2009.02.036⟩. ⟨hal-01517950⟩