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Description
Thin-walled structures are part of many engineering applications, as wind turbine blades, pressure vessels and sheet metal products. A thin-walled structure is characterized by one significantly smaller dimension compared to the others. To numerically support the designing process of such industrial structures, a robust and efficient approximation algorithm is required.
This work aims to examine the behavior of a nonlinear formulation for shell models using an efficient triangular shell element. Thereby, the proposed displacement-based triangular shell element, which comprises six nodes, has a compatible linear interpolation scheme for displacements and a non-conforming linear rotation field, resulting in a very efficient finite element formulation.
This particular formulation is based on Reissner-Mindlin kinematic assumptions and an initial plane reference configuration for the shell. The proposed formulation also accounts for finite strains, large displacements, and rotations. Additionally, the rotation field has been re-parameterized using the Rodrigues rotation parameters (Argyris,1982, Campello, 2011), facilitating an efficient update of the rotational field in comparison to the classical Euler rotation vector.
Furthermore, a comparison with the T6-3i element introduced in Campello,2003 is performed to illustrate the robustness of the proposed formulation.
