A robust non-linear solid shell element based on a mixed variational formulation

By Friedrich Gruttmann, Werner Wagner. 2006

205 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/6090d9f459d3bfda8e39957cef92349e03934dd1

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In Biomedical Engineering

In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Advantages of the mixed format in geometrically nonlinear analysis of beams and shells using solid finite elements (2017, methodology): “When comparing mixed and displacement FEs, many authors (see for example [1] and [2]) observe that the mixed ones are more robust and allow larger steps in path-following geometrically nonlinear analyses.”
A reduced integration solid‐shell finite element based on the EAS and the ANS concept—Geometrically linear problems (2009, unknown): “[41] for full integration versions and in the recent paper of Cardoso et al.”
A coupled two‐scale shell model with applications to layered structures (2013, methodology): “0 4 8 12 16 20 24 28 32 NODES/SIDE κ Solid Shell [4] Solid Shell [5] Brick 8 Nodes Brick 27 Nodes 5/6 [38] 2/3 [37]”
A dual mortar approach for 3D finite deformation contact with consistent linearization (2010, methodology): “In order to avoid severe locking, an 8-node solid-shell element formulation based on Enhanced Assumed Strain (EAS) and Assumed Natural Strain (ANS) technology is used, see [38, 39].”
A mixed shell formulation accounting for thickness strains and finite strain 3d material models (2008, methodology): “The boundary conditions are modeled exactly by the solid shell [25] as well as by the present finite shell element when considering the integration limits h− = −h and h+ = 0 in Eqs.”
An efficient mixed variational reduced‐order model formulation for nonlinear analyses of elastic shells (2018, background): “In the past, it has been observed in serveral studies that mixed (stress and displacement) finite elements show superior properties compared to pure displacement-based elements in the context of a standard Newton approach for non-linear analyses [17, 18].”
A reduced integration solid‐shell finite element based on the EAS and the ANS concept—Large deformation problems (2011, methodology): “In Figure 33 we compare the load–displacement curves with a fully integrated (2×2×2 Gauss points) solid-shell element [33].”