The Hellan–Herrmann–Johnson method for nonlinear shells
| Autor: | Joachim Schöberl, Michael Neunteufel |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Discretization
Generalization Mechanical Engineering Mathematical analysis Vertical deflection Degrees of freedom (statistics) Numerical Analysis (math.NA) 02 engineering and technology Mixed finite element method 01 natural sciences Finite element method Computer Science Applications Interpretation (model theory) 010101 applied mathematics Nonlinear system 020303 mechanical engineering & transports 0203 mechanical engineering Modeling and Simulation FOS: Mathematics General Materials Science Mathematics - Numerical Analysis 0101 mathematics 74S05 (Primary) 74K25 74K30 (Secondary) Civil and Structural Engineering Mathematics |
| Zdroj: | Computers & Structures. 225:106109 |
| ISSN: | 0045-7949 |
| DOI: | 10.1016/j.compstruc.2019.106109 |
| Popis: | In this paper we derive a new finite element method for nonlinear shells. The Hellan–Herrmann–Johnson (HHJ) method is a mixed finite element method for fourth order Kirchhoff plates. It uses convenient Lagrangian finite elements for the vertical deflection, and introduces sophisticated finite elements for the moment tensor. In this work we present a generalization of this method to nonlinear shells, where we allow finite strains and large rotations. The geometric interpretation of degrees of freedom allows a straight forward discretization of structures with kinks. The performance of the proposed elements is demonstrated by means of several established benchmark examples. |
| Databáze: | OpenAIRE |
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