An implicit \(\operatorname{G}^1\)-conforming bi-cubic interpolation for the analysis of smooth and folded Kirchhoff-Love shell assemblies
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Publication:2020764
DOI10.1016/j.cma.2020.113476zbMath1506.74404OpenAlexW3094122192MaRDI QIDQ2020764
Publication date: 26 April 2021
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.2020.113476
conforming elementisogeometric analysisKirchhoff-Love shellGregory patch\( \operatorname{G}^1\) continuitymulti patch
Numerical computation using splines (65D07) 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)
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Cites Work
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- An implicit \(G^1\) multi patch B-spline interpolation for Kirchhoff-Love space rod
- Blended isogeometric shells
- B-spline interpolation of Kirchhoff-Love space rods
- On a stress resultant geometrically exact shell model. I: Formulation and optimal parametrization
- Stress projection for membrane and shear locking in shell finite elements
- A drill rotation formulation for geometrically exact shells
- Hierarchies of conforming finite elements for plane elasticity and plate bending
- Ribbon-based transfinite surfaces
- Analysis-suitable \(G^1\) multi-patch parametrizations for \(C^1\) isogeometric spaces
- Multisided generalisations of Gregory patches
- Isogeometric analysis with strong multipatch \(C^{1}\)-coupling
- Analysis in computer aided design: nonlinear isogeometric B-Rep analysis of shell structures
- A quadrilateral \(\operatorname{G}^1\)-conforming finite element for the Kirchhoff plate model
- Rotation-free Bernstein-Bézier elements for thin plates and shells -- development and validation
- Two new triangular \(\operatorname{G}^1\)-conforming finite elements with cubic edge rotation for the analysis of Kirchhoff plates
- Multi-patch isogeometric analysis for Kirchhoff-Love shell elements
- Crosspoint modification for multi-patch isogeometric analysis
- A two-dimensional continuum model of pantographic sheets moving in a 3D space and accounting for the offset and relative rotations of the fibers
- Isogeometric Bézier dual mortaring: the enriched Bézier dual basis with application to second- and fourth-order problems
- An isogeometric implicit \(G^1\) mixed finite element for Kirchhoff space rods
- Generalization of the \(C^1\) TUBA plate finite elements to the geometrically exact Kirchhoff-Love shell model
- Formulation and evaluation of new triangular, quadrilateral, pentagonal and hexagonal discrete Kirchhoff plate/shell elements
- Domain Decomposition Methods and Kirchhoff-Love Shell Multipatch Coupling in Isogeometric Analysis
- A Nitsche-type formulation and comparison of the most common domain decomposition methods in isogeometric analysis
- The patch test—a condition for assessing FEM convergence
- Genuinely resultant shell finite elements accounting for geometric and material non‐linearity
- Isoparametric Hermite elements
- Truss Modular Beams with Deformation Energy Depending on Higher Displacement Gradients
- Isogeometric Analysis
- A discrete formulation of Kirchhoff rods in large-motion dynamics
