Multi-patch isogeometric analysis for Kirchhoff-Love shell elements
From MaRDI portal
Publication:2174130
DOI10.1016/j.cma.2019.02.015zbMath1441.74273OpenAlexW2915639325WikidataQ128335444 ScholiaQ128335444MaRDI QIDQ2174130
S. Klinkel, M. Dittmann, Christian Hesch, S. Schuß, Barbara I. Wohlmuth
Publication date: 20 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.2019.02.015
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)
Related Items
Contact Formulation for Second Gradient Materials, A variational approach based on perturbed eigenvalue analysis for improving spectral properties of isogeometric multipatch discretizations, Frontiers in Mortar Methods for Isogeometric Analysis, Crosspoint modification for multi-patch isogeometric analysis, Weak coupling of nonlinear isogeometric spatial Bernoulli beams, A dual domain decomposition algorithm for the analysis of non-conforming isogeometric Kirchhoff-Love shells, Phase‐field modeling of brittle fracture along the thickness direction of plates and shells, Smooth multi-patch scaled boundary isogeometric analysis for Kirchhoff-Love shells, Computational homogenization of higher‐order continua, Isogeometric analysis for multi-patch structured Kirchhoff-Love shells, Multipatch isogeometric analysis for geometrically exact shell elements using B-bar method and Bézier extraction, A comparison of smooth basis constructions for isogeometric analysis, Efficient computation of nonlinear isogeometric elements using the adjoint method and algorithmic differentiation, Isogeometric Bézier dual mortaring: the Kirchhoff-Love shell problem, An updated Lagrangian framework for isogeometric Kirchhoff-Love thin-shell analysis, Blended isogeometric Kirchhoff-Love and continuum shells, Isogeometric continuity constraints for multi-patch shells governed by fourth-order deformation and phase field models, An implicit \(\operatorname{G}^1\)-conforming bi-cubic interpolation for the analysis of smooth and folded Kirchhoff-Love shell assemblies, A stochastic multiscale formulation for isogeometric composite Kirchhoff-Love shells, A robust penalty coupling of non-matching isogeometric Kirchhoff-Love shell patches in large deformations, Nitsche's method for linear Kirchhoff-Love shells: formulation, error analysis, and verification, A priori penalty factor determination for (trimmed) NURBS-based shells with Dirichlet and coupling constraints in isogeometric analysis, A strain-gradient formulation for fiber reinforced polymers: hybrid phase-field model for porous-ductile fracture, \(C^s\)-smooth isogeometric spline spaces over planar bilinear multi-patch parameterizations, Isogeometric Bézier dual mortaring: the enriched Bézier dual basis with application to second- and fourth-order problems, Isogeometric analysis of fiber reinforced composites using Kirchhoff-Love shell elements
Cites Work
- Unnamed Item
- Geometrically nonlinear higher-gradient elasticity with energetic boundaries
- A mortar formulation for 3D large deformation contact using NURBS-based isogeometric analysis and the augmented Lagrangian method
- Isogeometric analysis and domain decomposition methods
- Isogeometric analysis and thermomechanical mortar contact problems
- A hierarchic family of isogeometric shell finite elements
- Isogeometric Reissner-Mindlin shell analysis with exactly calculated director vectors
- A subdivision-based implementation of the hierarchical b-spline finite element method
- Isogeometric analysis using T-splines
- Isogeometric shell analysis: the Reissner-Mindlin shell
- A large deformation, rotation-free, isogeometric shell
- 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: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Analysis-suitable \(G^1\) multi-patch parametrizations for \(C^1\) isogeometric spaces
- A mortar approach for fluid-structure interaction problems: immersed strategies for deformable and rigid bodies
- Isogeometric Kirchhoff-Love shell formulations for general hyperelastic materials
- Isogeometric mortar methods
- Nitsche's method for a coupling of isogeometric thin shells and blended shell structures
- Variationally consistent isogeometric analysis of trimmed thin shells at finite deformations, based on the STEP exchange format
- Skew-symmetric Nitsche's formulation in isogeometric analysis: Dirichlet and symmetry conditions, patch coupling and frictionless contact
- Biorthogonal splines for optimal weak patch-coupling in isogeometric analysis with applications to finite deformation elasticity
- Penalty coupling of non-matching isogeometric Kirchhoff-Love shell patches with application to composite wind turbine blades
- A hybrid isogeometric approach on multi-patches with applications to Kirchhoff plates and eigenvalue problems
- Isogeometric analysis with geometrically continuous functions on two-patch geometries
- Smooth Bézier surfaces over unstructured quadrilateral meshes
- Development of a new, more regular, mortar method for the coupling of NURBS subdomains within a NURBS patch: application to a non-intrusive local enrichment of NURBS patches
- Dual and approximate dual basis functions for B-splines and NURBS -- comparison and application for an efficient coupling of patches with the isogeometric mortar method
- Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling
- Isogeometric Bézier dual mortaring: refineable higher-order spline dual bases and weakly continuous geometry
- \(G^1\)-smooth splines on quad meshes with 4-split macro-patch elements
- Matched \(G^k\)-constructions always yield \(C^k\)-continuous isogeometric elements
- Hierarchical NURBS in frictionless contact
- Isogeometric dual mortar methods for computational contact mechanics
- An efficient and robust rotational formulation for isogeometric Reissner-Mindlin shell elements
- Isogeometric analysis and hierarchical refinement for higher-order phase-field models
- Nitsche's method for two and three dimensional NURBS patch coupling
- A Nitsche-type formulation and comparison of the most common domain decomposition methods in isogeometric analysis
- The weak substitution method - an application of the mortar method for patch coupling in NURBS-based isogeometric analysis
- Transient three-dimensional domain decomposition problems: Frame-indifferent mortar constraints and conserving integration
- A mortar method for energy-momentum conserving schemes in frictionless dynamic contact problems
- A 3D mortar method for solid mechanics
- Isogeometric Analysis
- Using finite strain 3D‐material models in beam and shell elements
- Finite Element Methods with B-Splines
- Discretization methods and iterative solvers based on domain decomposition
