Locking-free isogeometric discretizations of linear plane Timoshenko rods: LAS elements (Q6497159)

scientific article; zbMATH DE number 7842806

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English	Locking-free isogeometric discretizations of linear plane Timoshenko rods: LAS elements	scientific article; zbMATH DE number 7842806

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instance of

scholarly article

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title

Locking-free isogeometric discretizations of linear plane Timoshenko rods: LAS elements (English)

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Computer Methods in Applied Mechanics and Engineering

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publication date

6 May 2024

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zbMATH Keywords

isogeometric analysis

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shear locking

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membrane locking

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assumed strains

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convergence studies

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Timoshenko rods

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MaRDI profile type

MaRDI publication profile

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cites work

Isogeometric analysis of structural vibrations

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Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with \(k\)-method NURBS

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Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems

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

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Isogeometric Analysis

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Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: geometric design and isogeometric analysis considerations

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Seamless integration of design and Kirchhoff-Love shell analysis using analysis-suitable unstructured T-splines

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Isogeometric analysis using G-spline surfaces with arbitrary unstructured quadrilateral layout

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Removal of spurious outlier frequencies and modes from isogeometric discretizations of second- and fourth-order problems in one, two, and three dimensions

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Shear and membrane locking in curved \(C^ 0\) elements

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Explicit algorithms for the nonlinear dynamics of shells

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Numerical efficiency, locking and unlocking of NURBS finite elements

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Locking free isogeometric formulations of curved thick beams

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Improved numerical integration for locking treatment in isogeometric structural elements. I: Beams

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Order reduction method for locking free isogeometric analysis of Timoshenko beams

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Bézier \(\bar{B}\) projection

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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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Hierarchic isogeometric large rotation shell elements including linearized transverse shear parametrization

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Improved numerical integration for locking treatment in isogeometric structural elements. II: Plates and shells

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Selective and reduced numerical integrations for NURBS-based isogeometric analysis

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Two-field formulations for isogeometric Reissner-Mindlin plates and shells with global and local condensation

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Galerkin formulations of isogeometric shell analysis: alleviating locking with Greville quadratures and higher-order elements

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Efficient and robust quadratures for isogeometric analysis: reduced Gauss and Gauss-Greville rules

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\(\overline {\text B}\) and \(\overline {\text F}\) projection methods for nearly incompressible linear and nonlinear elasticity and plasticity using higher-order NURBS elements

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An isogeometric method for linear nearly-incompressible elasticity with local stress projection

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Isogeometric regular discretization for the Stokes problem

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Isogeometric discretizations of the Stokes problem: stability analysis by the macroelement technique

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

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An efficient blended mixed B-spline formulation for removing membrane locking in plane curved Kirchhoff rods

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A reconstructed local \(\bar{B}\) formulation for isogeometric Kirchhoff-Love shells

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An isogeometric Reissner-Mindlin shell element based on Bézier dual basis functions: overcoming locking and improved coarse mesh accuracy

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Removing membrane locking in quadratic NURBS-based discretizations of linear plane Kirchhoff rods: CAS elements

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Reduced quadrature for FEM, IGA and meshfree methods

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Reduced quadrature for finite element and isogeometric methods in nonlinear solids

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Isogeometric analysis of nearly incompressible solids

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The enhanced assumed strain method for the isogeometric analysis of nearly incompressible deformation of solids

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On numerically accurate finite element solutions in the fully plastic range

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PetIGA: a framework for high-performance isogeometric analysis

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Isogeometric analysis of plane-curved beams

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Identifiers

DOI

10.1016/j.cma.2024.116918

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6497159