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The Hellan-Herrmann-Johnson method for nonlinear shells
DOI:10.1016/j.compstruc.2019.106109.png)
Abstract
En 中文
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. (C) 2019 Elsevier Ltd. All rights reserved.
Keywords:
Nonlinear shells
Structural mechanics
Discrete differential geometry
Mixed finite elements
Kirchhoff hypothesis
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