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Proceedings of the 20th International Meshing Roundtable pp 551–568Cite as

The Meccano Method for Isogeometric Solid Modeling

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Summary

We present a new method to construct a trivariate T-spline representation of complex solids for the application of isogeometric analysis. The proposed technique only demands the surface of the solid as input data. The key of this method lies in obtaining a volumetric parameterization between the solid and a simple parametric domain. To do that, an adaptive tetrahedral mesh of the parametric domain is isomorphically transformed onto the solid by applying the meccano method. The control points of the trivariate T-spline are calculated by imposing the interpolation conditions on points situated both on the inner and on the surface of the solid. The distribution of the interpolating points is adapted to the singularities of the domain in order to preserve the features of the surface triangulation.

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Author information

Authors and Affiliations

  1. University Institute for Intelligent Systems and Numerical Applications in Engineering, SIANI, University of Las Palmas de Gran Canaria, Spain

    José María Escobar, Eduardo Rodríguez & Rafael Montenegro

  2. Department of Economics and History of Economics, Faculty of Economics and Management, University of Salamanca, Spain

    José Manuel Cascón

Authors
  1. José María Escobar
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  2. José Manuel Cascón
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  3. Eduardo Rodríguez
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  4. Rafael Montenegro
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Editor information

Editors and Affiliations

  1. Sandia National Laboratories, P.O. Box 5800, 87185, Albuquerque, NM, USA

    William Roshan Quadros

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Escobar, J.M., Cascón, J.M., Rodríguez, E., Montenegro, R. (2011). The Meccano Method for Isogeometric Solid Modeling. In: Quadros, W.R. (eds) Proceedings of the 20th International Meshing Roundtable. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24734-7_30

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  • DOI: https://doi.org/10.1007/978-3-642-24734-7_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24733-0

  • Online ISBN: 978-3-642-24734-7

  • eBook Packages: EngineeringEngineering (R0)

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