Two new triangular \(\operatorname{G}^1\)-conforming finite elements with cubic edge rotation for the analysis of Kirchhoff plates
DOI10.1016/j.cma.2019.07.026zbMath1441.74242OpenAlexW2965152815WikidataQ114196930 ScholiaQ114196930MaRDI QIDQ2173640
Leopoldo Greco, Massimo Cuomo, Loredana Contrafatto
Publication date: 17 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.2019.07.026
Kirchhoff plateisogeometric analysis\( \mathrm{C}^1\)-continuity\( \mathrm{G}^1\)-continuitytriangular conforming elementtriangular Gregory patch
Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (8)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mechanical response of fabric sheets to three-dimensional bending, twisting, and stretching
- Isogeometric rotation-free analysis of planar extensible-elastica for static and dynamic applications
- A hierarchic family of isogeometric shell finite elements
- Blended isogeometric shells
- Isogeometric analysis of 2D gradient elasticity
- Isogeometric shell analysis with Kirchhoff-Love elements
- The bending strip method for isogeometric analysis of Kirchhoff-Love shell structures comprised of multiple patches
- Isogeometric analysis and applications 2014. Selected papers based on the presentations at the IGAA 2014, Annweiler am Trifels, Germany, April 7--10, 2014
- A family of \(C^{0}\) finite elements for Kirchhoff plates. II: Numerical results
- Numerical simulations of classical problems in two-dimensional (non) linear second gradient elasticity
- 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 of multipatch discontinuous Galerkin IgA approximations to elliptic boundary value problems
- A quadrilateral \(\operatorname{G}^1\)-conforming finite element for the Kirchhoff plate model
- Kirchhoff-Love shell formulation based on triangular isogeometric analysis
- Rotation-free Bernstein-Bézier elements for thin plates and shells -- development and validation
- Isogeometric collocation for three-dimensional geometrically exact shear-deformable beams
- A new rotation-free isogeometric thin shell formulation and a corresponding continuity constraint for patch boundaries
- Isogeometric collocation methods for Cosserat rods and rod structures
- Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling
- Hierarchic isogeometric large rotation shell elements including linearized transverse shear parametrization
- An efficient blended mixed B-spline formulation for removing membrane locking in plane curved Kirchhoff rods
- Locking-free isogeometric collocation formulation for three-dimensional geometrically exact shear-deformable beams with arbitrary initial curvature
- A flexible approach for coupling NURBS patches in rotationless isogeometric analysis of Kirchhoff-Love shells
- Isogeometric Bézier dual mortaring: refineable higher-order spline dual bases and weakly continuous geometry
- Nonlinear isogeometric spatial Bernoulli beam
- Continuity and convergence in rational triangular Bézier spline based isogeometric analysis
- An isogeometric implicit \(G^1\) mixed finite element for Kirchhoff space rods
- Domain Decomposition Methods and Kirchhoff-Love Shell Multipatch Coupling in Isogeometric Analysis
- A method for creating a class of triangular C1 finite elements
- A Nitsche-type formulation and comparison of the most common domain decomposition methods in isogeometric analysis
- On the C 1 continuous discretization of non-linear gradient elasticity: A comparison of NEM and FEM based on Bernstein-Bézier patches
- The patch test—a condition for assessing FEM convergence
- A Posteriori Estimates for Conforming Kirchhoff Plate Elements
- Continuum modelling of pantographic sheets for out-of-plane bifurcation and vibrational analysis
- A conforming quartic triangular element for plate bending
- Solution of clamped rectangular plate problems
This page was built for publication: Two new triangular \(\operatorname{G}^1\)-conforming finite elements with cubic edge rotation for the analysis of Kirchhoff plates