Isogeometric analysis using T-splines

By Yuri Bazilevs, Victor Manuel Calo, J. Cottrell, John A. Evans, Thomas J. R. Hughes, Scott Lipton, Michael A. Scott, Thomas W. Sederberg. 2010

1,131 citations recorded by the source corpus.

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.

Subfields: Computational Mechanics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/b2a8c7d55edae8febe3aabb8b52825d6f2218960

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In Computational Mechanics

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Citations in the corpus

Conformal solid T-spline construction from boundary T-spline representations (2013, methodology): “To integrate design and analysis, the root idea of isogeometric analysis [6, 2], one challenge is to automatically create a conformal solid NURBS/T-spline model with the given spline boundary representation preserved exactly.”
T‐spline finite element method for the analysis of shell structures (2009, methodology): “[23] have tested T-splines on some elementary two-dimensional and three-dimensional fluid and structural analysis problems.”
A two-dimensional Isogeometric Boundary Element Method for elastostatic analysis (2012, neutral): “[4] Y. Bazilevs, V.M. Calo, J.A. Cottrell, J.A. Evans, T.J.R. Hughes, S. Lipton, M.A. Scott, T.W. Sederberg, Isogeometric analysis using T-splines, Comput.”
Static, free vibration, and buckling analysis of laminated composite Reissner–Mindlin plates using NURBS‐based isogeometric approach (2012, methodology): “An adaptive approach based on T-spline [90] or polynomial splines over hierarchical T-meshes [91, 92] will be therefore very promising in enhancing computational effect.”
The hp‐d‐adaptive finite cell method for geometrically nonlinear problems of solid mechanics (2012, methodology): “The meshing challenge has recently led to the rise of isogeometric methods, which directly use the spline basis of a CAD model for FE analysis (see for example [4, 5, 6] and the references therein).”
Isogeometric boundary-element analysis for the wave-resistance problem using T-splines (2014, methodology): “In this paper, we develop T-splines from the finite element point-of-view, utilizing Bézier extraction [31, 29].”
Isogeometric Collocation: Cost Comparison with Galerkin Methods and Extension to Adaptive Hierarchical NURBS Discretizations (2013, methodology): “The integration of IGA capabilities into existing standard FEM codes was recently simplified by the concept of Bézier extraction for NURBS [39] and T-splines [40,41].”