Hybrid-Mixed Low-Order Finite Elements for Geometrically Exact Shell Models: Overview and Comparison

Lavrenčič, Marko; Brank, Boštjan

doi:10.1007/s11831-021-09537-2

Cited by 9 publications

(4 citation statements)

References 73 publications

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“…Today, the literature on modeling of shells would require an entire article for a reasonably complete coverage. We shall not attempt to sort through this literature here; rather we shall refer to older 4,5 and recent 6,7 reviews.…”

Section: Introductionmentioning

confidence: 99%

Robust flat‐facet triangular shell finite element

Krysl

2022

Numerical Meth Engineering

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A flat facet finite element with three nodes and six degrees of freedom per node for linear static and dynamic analysis of thick and thin shells is presented. The membrane response is modeled with constant strain triangles. The bending response treats the transverse shear with an improved version of the discrete-shear-gap technique. The main novelty of the present approach is the robust treatment of the drilling rotations: the element internally responds to five degrees of freedom per node, but externally it naturally possesses six degrees of freedom per node. The drilling degree of freedom is decoupled from the bending and twisting, and the undesirable user-selectable arbitrary stabilization is avoided. The element is shown to be robust for extremely thin shells, and passes tests such as the Raasch hook problem. Performance is illustrated with static and dynamic examples including branched and folded shells.

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Section: Introductionmentioning

confidence: 99%

Robust flat‐facet triangular shell finite element

Krysl

2022

Numerical Meth Engineering

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“…A more detailed review of many important developments on plate bending problem can be found in [23,24]. Some more recent review and comparison works between common plate and shell elements are reported in [25][26][27]. For nonlinear analysis, several attempts are given on fracture computation [28], plasticity [29,30], viscoplasticity [31] and eigenvalue problems [32].…”

Section: Introductionmentioning

confidence: 99%

Regularized variational formulation for nonlinear dynamics of viscoplastic plates

Nguyen

Ibrahimbegović²

2022

Computer Methods in Applied Mechanics and Engineering

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“…Formulations of shell finite element models are quite complex compared to other structural elements, and, not surprisingly, over the past several decades, many hundreds of papers have appeared on the subject of shell finite element analysis. We refer to older 1,2 and recent 3,4 reviews.…”

Section: Introductionmentioning

confidence: 99%

Explicit dynamics of shells with a flat‐facet triangular finite element

Krysl

2022

Numerical Meth Engineering

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The use of a flat‐facet finite element with three nodes and six degrees of freedom per node for modeling of linear wave‐propagation events is discussed. The triangular shell finite element was presented in a preceding publication. The main novelty of the current approach is the treatment of the drilling rotations that decouples the drilling degree of freedoms on the global level, and hence makes it possible to eliminate negative effects of these degrees of freedom on the explicit time‐stepping algorithms employed to compute the dynamic response, such as deterioration in accuracy or artificially reduced time step. The element is shown to be robust for wave propagation simulations, and its performance is illustrated with examples including guided‐wave scenarios.

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Hybrid-Mixed Low-Order Finite Elements for Geometrically Exact Shell Models: Overview and Comparison

Cited by 9 publications

References 73 publications

Robust flat‐facet triangular shell finite element

Robust flat‐facet triangular shell finite element

Regularized variational formulation for nonlinear dynamics of viscoplastic plates

Explicit dynamics of shells with a flat‐facet triangular finite element

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