An isogeometric continuum shell element for non-linear analysis
| Autor: | Clemens V. Verhoosel, S Saman Hosseini, de R René Borst, Jjc Joris Remmers |
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| Přispěvatelé: | Mechanics of Materials |
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
Continuum (topology)
business.industry Mechanical Engineering Mathematical analysis Computational Mechanics Shell (structure) General Physics and Astronomy Basis function Structural engineering Isogeometric analysis Computer Science Applications Numerical integration Nonlinear system Buckling Mechanics of Materials Reference surface business Mathematics |
| Zdroj: | Computer Methods in Applied Mechanics and Engineering, 271, 1-22. Elsevier |
| ISSN: | 0045-7825 |
| Popis: | An isogeometric continuum shell formulation is proposed in which NURBS basis functions are used to construct the reference surface of the shell. Through-the-thickness behavior is interpolated using a higher-order B-spline which is in contrast to the standard continuum shell (solid-like shell) formulation where a linear Lagrange shape function is typically used in the thickness direction. The present formulation yields a complete isogeometric representation of the continuum shell. The shell element is implemented in a standard finite element code using Bézier extraction which facilitates numerical integration on the reference surface of the shell. Through-the-thickness integration is done using a connectivity array which determines the support of a B-spline basis function over an element. The formulation has been verified using different linear and geometrically non-linear examples. The ability of the formulation in modelling buckling of static delaminations in composite materials is also demonstrated. © 2013 Elsevier B.V. |
| Databáze: | OpenAIRE |
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