A quadrilateral \(\operatorname{G}^1\)-conforming finite element for the Kirchhoff plate model
From MaRDI portal
Publication:1986931
DOI10.1016/j.cma.2018.09.028zbMath1440.74396OpenAlexW2895147895MaRDI QIDQ1986931
Loredana Contrafatto, Massimo Cuomo, Leopoldo Greco
Publication date: 9 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.2018.09.028
conforming elementisogeometric analysisKirchhoff plate modelGregory patch\(\operatorname{C}^1\)-continuity\(\operatorname{G}^1\)-continuity
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 (11)
Two new triangular \(\operatorname{G}^1\)-conforming finite elements with cubic edge rotation for the analysis of Kirchhoff plates ⋮ A two-dimensional continuum model of pantographic sheets moving in a 3D space and accounting for the offset and relative rotations of the fibers ⋮ Generalized Reissner-type variational principles in the micropolar theories of multilayer thin bodies with one small size ⋮ On some variational principles in micropolar theories of single-layer thin bodies ⋮ On the mapping procedure based on higher‐order Hermite polynomials for laminated thin plates with arbitrary domains in gradient elasticity ⋮ Numerical quadrature for Gregory quads ⋮ A novel phase‐field approach to brittle damage mechanics of gradient metamaterials combining action formalism and history variable ⋮ An implicit \(\operatorname{G}^1\)-conforming bi-cubic interpolation for the analysis of smooth and folded Kirchhoff-Love shell assemblies ⋮ Maximum mechano-damage power release-based phase-field modeling of mass diffusion in damaging deformable solids ⋮ Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures? ⋮ Dynamics of pantographic sheet around the clamping region: experimental and numerical analysis
Cites Work
- 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
- 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
- Singularity under a concentrated force in elasticity
- 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
- Isogeometric analysis with strong multipatch \(C^{1}\)-coupling
- Analysis of multipatch discontinuous Galerkin IgA approximations to elliptic boundary value problems
- 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
- 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
- A reconstructed local \(\bar{B}\) formulation for isogeometric Kirchhoff-Love shells
- Nonlinear isogeometric spatial Bernoulli beam
- 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 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
- Isoparametric Hermite elements
- Truss Modular Beams with Deformation Energy Depending on Higher Displacement Gradients
- Continuum modelling of pantographic sheets for out-of-plane bifurcation and vibrational analysis
- Solution of clamped rectangular plate problems
This page was built for publication: A quadrilateral \(\operatorname{G}^1\)-conforming finite element for the Kirchhoff plate model
