4.7 Article

Isogeometric collocation for elastostatics and explicit dynamics

Journal

Publisher

ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2012.03.026

Keywords

Isogeometric analysis; Collocation methods; B-splines; Nurbs; Explicit dynamics

Funding

  1. European Research Council [259229]
  2. European Commission through the FP7 Factories of the Future project TERRIFIC
  3. European Research Council through the FP7 Ideas Starting Grant [205004]
  4. Italian MIUR through the FIRB Futuro in Ricerca Grant [RBFR08CZ0S]
  5. Office of Naval Research [N00014-08-0992]
  6. Army Research Office [W911NF-10-1-0216]
  7. SINTEF through the ICADA Project

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We extend the development of collocation methods within the framework of Isogeometric Analysis (IGA) to multi-patch NURBS configurations, various boundary and patch interface conditions, and explicit dynamic analysis. The methods developed are higher-order accurate, stable with no hourglass modes, and efficient in that they require a minimum number of quadrature evaluations. The combination of these attributes has not been obtained previously within standard finite element analysis. (C) 2012 Elsevier B.V. All rights reserved.

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