An adaptive three-dimensional RHT-splines formulation in linear elasto-statics and elasto-dynamics

Authors:
N. Nguyen-Thanh;J. Muthu;X. Zhuang;T. Rabczuk
Affiliations:
Department of Geotechnical Engineering, Tongji University, Shanghai, China and Institute of Structural Mechanics, Bauhaus University Weimar, Weimar, Germany 99423;School of Mechanical, Industrial and Aeronautical Engineering, University of the Witwatersrand, Johannesburg, South Africa 2050;Department of Geotechnical Engineering, Tongji University, Shanghai, China;School of Civil, Environmental and Architectural Engineering, Korea University, Seoul, Korea and Institute of Structural Mechanics, Bauhaus University Weimar, Weimar, Germany 99423
Venue:
Computational Mechanics
Year:
2014

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Abstract

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.