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Shell structures—a sensitive interrelation between physics and numerics
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A robust non-linear mixed hybrid quadrilateral shell element
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A mixed shell formulation accounting for thickness strains and finite strain 3d material models
- Klinkel, Sven; Gruttmann, Friedrich; Wagner, Werner
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International Journal for Numerical Methods in Engineering, Vol. 74, Issue 6
https://doi.org/10.1002/nme.2199
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Reduced and selective integration techniques in the finite element analysis of plates
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Efficient isogeometric NURBS-based solid-shell elements: Mixed formulation and B¯-method
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December 2013 |
Three-dimensional extension of non-linear shell formulation based on the enhanced assumed strain concept
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August 1994 |
Gaussian quadrature rules for C1 quintic splines with uniform knot vectors
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October 2017 |
An isogeometric Reissner–Mindlin shell element based on Bézier dual basis functions: Overcoming locking and improved coarse mesh accuracy
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Isogeometric Collocation Methods
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Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems
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April 2014 |
A hierarchic family of isogeometric shell finite elements
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February 2013 |
A locking-free model for Reissner–Mindlin plates: Analysis and isogeometric implementation via NURBS and triangular NURPS
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An efficient and robust rotational formulation for isogeometric Reissner–Mindlin shell elements
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Numerical integration of discontinuous functions: moment fitting and smart octree
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July 2017 |
Theory and numerics of three-dimensional beams with elastoplastic material behaviour
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Explicit Gaussian quadrature rules for cubic splines with symmetrically stretched knot sequences
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A proposed standard set of problems to test finite element accuracy
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Numerical efficiency, locking and unlocking of NURBS finite elements
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Isogeometric Bézier dual mortaring: Refineable higher-order spline dual bases and weakly continuous geometry
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May 2018 |
S-splines: A simple surface solution for IGA and CAD
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June 2019 |
A new efficient approach to the formulation of mixed finite element models for structural analysis
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A new nine node degenerated shell element with enhanced membrane and shear interpolation
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Isogeometric collocation for phase-field fracture models
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On the Assumed Natural Strain method to alleviate locking in solid-shell NURBS-based finite elements
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Isogeometric Bézier dual mortaring: The enriched Bézier dual basis with application to second- and fourth-order problems
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May 2020 |
Parameterization of computational domain in isogeometric analysis: Methods and comparison
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June 2011 |
Hierarchic isogeometric large rotation shell elements including linearized transverse shear parametrization
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July 2017 |
Locking free isogeometric formulations of curved thick beams
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October 2012 |
Higher order B-spline collocation at the Greville abscissae
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January 2005 |
A computational formulation for constrained solid and liquid membranes considering isogeometric finite elements
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April 2014 |
Selective and reduced numerical integrations for NURBS-based isogeometric analysis
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February 2015 |
A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis
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A Curved C0 Shell Element Based on Assumed Natural-Coordinate Strains
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June 1986 |
Isogeometric collocation: Cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
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Finite Elements Based Upon Mindlin Plate Theory With Particular Reference to the Four-Node Bilinear Isoparametric Element
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September 1981 |
A new rotation-free isogeometric thin shell formulation and a corresponding continuity constraint for patch boundaries
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Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis
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August 2014 |
Popular benchmark problems for geometric nonlinear analysis of shells
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A variational method to avoid locking-independent of the discretization scheme: A variational method to avoid locking - independent of the discretization scheme
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Bézier projection: A unified approach for local projection and quadrature-free refinement and coarsening of NURBS and T-splines with particular application to isogeometric design and analysis
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Gaussian quadrature for splines via homotopy continuation: Rules for cubic splines
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Hierarchical B-spline refinement
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A simple and efficient finite element for plate bending
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Isogeometric Reissner–Mindlin shell analysis with exactly calculated director vectors
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Reduced integration technique in general analysis of plates and shells
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Isogeometric shell analysis with Kirchhoff–Love elements
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A reconstructed local formulation for isogeometric Kirchhoff–Love shells
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On the theoretical foundations of thin solid and liquid shells
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Numerical integration of discontinuities on arbitrary domains based on moment fitting
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March 2016 |
Improved numerical integration for locking treatment in isogeometric structural elements. Part II: Plates and shells
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February 2015 |
Fast formation of isogeometric Galerkin matrices by weighted quadrature
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April 2017 |
High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods
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July 2014 |
Isogeometric Kirchhoff–Love shell formulations for general hyperelastic materials
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July 2015 |
Blended isogeometric shells
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March 2013 |
Nonstationary tight wavelet frames, I: Bounded intervals
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September 2004 |
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
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Optimal quadrature for univariate and tensor product splines
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April 2017 |
Fundamental considerations for the finite element analysis of shell structures
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The discrete strain gap method and membrane locking
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June 2005 |
A NURBS based hybrid collocation–Galerkin method for the analysis of boundary represented solids
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Improved numerical integration for locking treatment in isogeometric structural elements, Part I: Beams
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September 2014 |
Isogeometric collocation for Kirchhoff–Love plates and shells
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