Hybrid-mixed shell quadrilateral that allows for large solution steps and is low-sensitive to mesh distortion
| Autor: | Boštjan Brank, Marko Lavrenčič |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
SHELL model
Computational Mechanics Ocean Engineering 02 engineering and technology hybrid-mixed formulation 01 natural sciences nonlinear shells mesh-distortion sensitivity 0203 mechanical engineering Applied mathematics Computational Science and Engineering 0101 mathematics mesh distortion Physics Quadrilateral Applied Mathematics Mechanical Engineering quadrilateral element Finite element method 010101 applied mathematics Computational Mathematics 020303 mechanical engineering & transports Computational Theory and Mathematics assumed natural strain udc:624.07 large solution steps |
| Zdroj: | Computational mechanics, vol. 65, no. 1, pp. 177-192, 2020. |
| ISSN: | 0178-7675 |
| Popis: | We compare three nearly optimal quadrilateral finite elements for geometrically exact inextensible-director shell model. Two of them are revisited and one is novel. The assumed natural strain (ANS) element of Ko et al. (Comput Struct 185:1–14, 2017) shows low sensitivity to mesh distortion and excellent convergence behavior for most types of shell problems. The Hu–Washizu element with ANS shear strains of Wagner and Gruttmann (Int J Numer Methods Eng, 64:635–666, 2005) allows for large solution steps and is computationally fast. However, both formulations have undesirable weak spots, which we clearly identify by a comprehensive set of numerical examples. We show that a straightforward combination of both formulations results in a novel element that synergizes the positive features and eliminates the weak spots of its predecessors. |
| Databáze: | OpenAIRE |
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