High order exact geometry finite elements for seven-parameter shells with parametric and implicit reference surfaces
| Autor: | Martin Schanz, Michael Helmut Gfrerer |
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| Rok vydání: | 2018 |
| Předmět: |
Surface (mathematics)
Quadrilateral Applied Mathematics Mechanical Engineering Mathematical analysis Computational Mechanics Shell (structure) Ocean Engineering 02 engineering and technology 01 natural sciences Displacement (vector) Finite element method 010101 applied mathematics Computational Mathematics 020303 mechanical engineering & transports 0203 mechanical engineering Computational Theory and Mathematics Convergence (routing) Reference surface 0101 mathematics Parametric statistics Mathematics |
| Zdroj: | Computational Mechanics. 64:133-145 |
| ISSN: | 1432-0924 0178-7675 |
| Popis: | We present high order surface finite element methods for the linear analysis of seven-parameter shells. The special feature of these methods is that they work with the exact geometry of the shell reference surface which can be given parametrically by a global map or implicitly as the zero level-set of a level set function. Furthermore, a special treatment of singular parametrizations is proposed. For the approximation of the shell displacement parameters we have implemented arbitrary order hierarchical shape functions on quadrilateral and triangular meshes. The methods are verified by a convergence analysis in numerical experiments. |
| Databáze: | OpenAIRE |
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