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Isogeometric collocation for the Reissner-Mindlin shell problem - MaRDI portal

Isogeometric collocation for the Reissner-Mindlin shell problem (Q2310036)

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Language	Label	Description	Also known as
English	Isogeometric collocation for the Reissner-Mindlin shell problem	scientific article

Statements

scholarly article

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Isogeometric collocation for the Reissner-Mindlin shell problem (English)

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Laura De Lorenzis

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Computer Methods in Applied Mechanics and Engineering

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publication date

6 April 2020

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zbMATH Keywords

isogeometric

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collocation

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Reissner-Mindlin

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shells

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NURBS

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cma.2017.07.023

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Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement

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ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES

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Some estimates for \(h\)-\(p\)-\(k\)-refinement in isogeometric analysis

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Isogeometric analysis of structural vibrations

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Patient-specific isogeometric structural analysis of aortic valve closure

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Isogeometric shell analysis with Kirchhoff-Love elements

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The bending strip method for isogeometric analysis of Kirchhoff-Love shell structures comprised of multiple patches

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Rotation-free isogeometric thin shell analysis using PHT-splines

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Isogeometric Kirchhoff-Love shell formulations for general hyperelastic materials

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Isogeometric Kirchhoff-Love shell formulations for biological membranes

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Fully C1‐conforming subdivision elements for finite deformation thin‐shell analysis

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A hierarchic family of isogeometric shell finite elements

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A shear deformable, rotation-free isogeometric shell formulation

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T‐spline finite element method for the analysis of shell structures

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Isogeometric shell analysis: the Reissner-Mindlin shell

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Isogeometric Reissner-Mindlin shell analysis with exactly calculated director vectors

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Treatment of Reissner-Mindlin shells with Kinks without the need for drilling rotation stabilization in an isogeometric framework

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An isogeometric solid-like shell element for nonlinear analysis

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An isogeometric continuum shell element for non-linear analysis

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Efficient isogeometric NURBS-based solid-shell elements: mixed formulation and \(\overline B\)-method

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On the assumed natural strain method to alleviate locking in solid-shell NURBS-based finite elements

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Assumed natural strain NURBS-based solid-shell element for the analysis of large deformation elasto-plastic thin-shell structures

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A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis

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Efficient quadrature for NURBS-based isogeometric analysis

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Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis

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Selective and reduced numerical integrations for NURBS-based isogeometric analysis

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ISOGEOMETRIC COLLOCATION METHODS

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Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations

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Consistency and convergence properties of the isogeometric collocation method

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Isogeometric collocation for elastostatics and explicit dynamics

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Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods

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Single-variable formulations and isogeometric discretizations for shear deformable beams

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Locking-free isogeometric collocation methods for spatial Timoshenko rods

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Isogeometric collocation for three-dimensional geometrically exact shear-deformable beams

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Isogeometric collocation methods for Cosserat rods and rod structures

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Locking-free isogeometric collocation formulation for three-dimensional geometrically exact shear-deformable beams with arbitrary initial curvature

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Isogeometric collocation methods for the Reissner-Mindlin plate problem

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An isogeometric collocation approach for Bernoulli-Euler beams and Kirchhoff plates

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Isogeometric collocation for large deformation elasticity and frictional contact problems

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Isogeometric collocation: Neumann boundary conditions and contact

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Accurate, efficient, and (iso)geometrically flexible collocation methods for phase-field models

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Isogeometric collocation for phase-field fracture models

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Fundamental considerations for the finite element analysis of shell structures

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Isogeometric Analysis

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An Introduction to Isogeometric Collocation Methods

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The variational collocation method

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An isogeometric collocation method using superconvergent points

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Optimal-order isogeometric collocation at Galerkin superconvergent points

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Stress projection for membrane and shear locking in shell finite elements

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Shell deformation states and the finite element method: A benchmark study of cylindrical shells

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Identifiers

zbMATH Open document ID

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10.1016/j.cma.2017.07.023

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2310036

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