Avoiding membrane locking with Regge interpolation (Q2020850)

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Language	Label	Description	Also known as
English	Avoiding membrane locking with Regge interpolation	scientific article

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scholarly article

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Avoiding membrane locking with Regge interpolation (English)

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zbMATH Open document ID

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10.1016/j.cma.2020.113524

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Michael Neunteufel

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Joachim Schöberl

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Computer Methods in Applied Mechanics and Engineering

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publication date

26 April 2021

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full work available at URL

https://arxiv.org/abs/1907.06232

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

locking

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shells

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finite element method

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Regge calculus

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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On Locking and Robustness in the Finite Element Method

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On the locking phenomenon for a class of elliptic problems

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Fundamental considerations for the finite element analysis of shell structures

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Discretization by finite elements of a model parameter dependent problem

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ERROR ANALYSIS OF MIXED-INTERPOLATED ELEMENTS FOR REISSNER-MINDLIN PLATES

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The TDNNS method for Reissner-Mindlin plates

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Reduced integration technique in general analysis of plates and shells

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A Curved C0 Shell Element Based on Assumed Natural-Coordinate Strains

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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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A new nine node degenerated shell element with enhanced membrane and shear interpolation

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A formulation of general shell elements—the use of mixed interpolation of tensorial components

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An assumed covariant strain based 9-node shell element

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A three-node Mindlin plate element with improved transverse shear

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A class of mixed assumed strain methods and the method of incompatible modes

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Membrane Locking and Reduced Integration for Curved Elements

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

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Locking-free finite element methods for shells

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Stabilized Finite Element Formulations for Shells in a Bending Dominated State

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A hierarchic family of isogeometric shell finite elements

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The discrete strain gap method and membrane locking

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The problem of membrane locking in finite element analysis of cylindrical shells

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Membrane locking in the finite element computation of very thin elastic shells

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Analytical and computational assessment of locking in the \(hp\) finite element method

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Scale resolution, locking, and high-order finite element modelling of shells

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Regge calculus: a brief review and bibliography

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On the curvature of piecewise flat spaces

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Finite element exterior calculus, homological techniques, and applications

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Finite element exterior calculus: from Hodge theory to numerical stability

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A CHARACTERIZATION OF SECOND-ORDER DIFFERENTIAL OPERATORS ON FINITE ELEMENT SPACES

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On the linearization of Regge calculus

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Canonical construction of finite elements

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Mixed finite elements in \(\mathbb{R}^3\)

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A new family of mixed finite elements in \({\mathbb{R}}^ 3\)

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New shape functions for triangular \(p\)-FEM using integrated Jacobi polynomials

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Finite element methods for surface PDEs

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An introduction to differential geometry with applications to elasticity

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Finite elements. Theory, fast solvers and applications in elasticity theory

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A Discrete Differential Sequence for Elasticity Based upon Continuous Displacements

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NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules

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

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