Journal
COMPUTATIONAL MECHANICS
Volume 53, Issue 2, Pages 369-385Publisher
SPRINGER
DOI: 10.1007/s00466-013-0914-z
Keywords
Isogeometric analysis; NURBS; PHT-splines; RHT-splines
Funding
- International Research Staff Exchange Scheme (IRSES)
- Nation Research Foundation (NRF) South Africa
- German Research Foundation (DFG)
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An adaptive three-dimensional isogeometric formulation based on rational splines over hierarchical T-meshes (RHT-splines) for problems in elasto-statics and elasto-dynamics is presented. RHT-splines avoid some short-comings of NURBS-based formulations; in particular they allow for adaptive h-refinement with ease. In order to drive the adaptive refinement, we present a recovery-based error estimator for RHT-splines. The method is applied to several problems in elasto-statics and elasto-dynamics including three-dimensional modeling of thin structures. The results are compared to analytical solutions and results of NURBS based isogeometric formulations.
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