Rotation-free Bernstein-Bézier elements for thin plates and shells -- development and validation

DOI10.1016/j.cma.2019.01.039zbMath1440.74422OpenAlexW2914544199MaRDI QIDQ1987912

Christian Hühne, Thomas Ludwig, Laura De Lorenzis

Publication date: 16 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2019.01.039

zbMATH Keywords

Bernstein-Béziertriangular Bézier splines\(\mathrm{C}^1\)\(\mathrm{G}^1\)rotation-free Kirchhoff-Love

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (3)

Two new triangular \(\operatorname{G}^1\)-conforming finite elements with cubic edge rotation for the analysis of Kirchhoff plates ⋮ CAD-compatible structural shape optimization with a movable Bézier tetrahedral mesh ⋮ An implicit \(\operatorname{G}^1\)-conforming bi-cubic interpolation for the analysis of smooth and folded Kirchhoff-Love shell assemblies

Uses Software

• MUMPS
• FEAPpv

Cites Work

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