Stress projection for membrane and shear locking in shell finite elements

T Belytschko, H Stolarski, WK Liu, N Carpenter… - Computer Methods in …, 1985 - Elsevier
The motivation for the research reviewed in this paper was provided by studies such as
indicated in Fig. l (a) which show some results obtained with the widely used 9-node …

A survey of recent shell finite elements

HTY Yang, S Saigal, A Masud… - International Journal for …, 2000 - Wiley Online Library
Since the mid-1960s when the forms of curved shell finite elements were originated,
including those pioneered by Professor Gallagher, the published literature on the subject …

A robust quadrilateral membrane finite element with drilling degrees of freedom

A Ibrahimbegovic, RL Taylor… - International Journal for …, 1990 - Wiley Online Library
A quadrilateral membrane finite element with drilling degrees of freedom is derived from
variational principles employing an independent rotation field. Both displacement based and …

On drilling degrees of freedom

TJR Hughes, F Brezzi - Computer methods in applied mechanics and …, 1989 - Elsevier
Variational principles employing independent rotation fields are investigated. In the two-
dimensional case these lead to membrane elements with “drilling degrees of freedom”, of …

A discrete shear triangular nine dof element for the analysis of thick to very thin plates

JL Batoz, P Lardeur - International journal for numerical …, 1989 - Wiley Online Library
This paper deals with the formulation and the evaluation of a new three node, nine dof
triangular plate bending element valid for the analysis of thick to thin plates. The formulation …

A four node Marguerre element for non‐linear shell analysis

P Jetteur, F Frey - Engineering Computations, 1986 - emerald.com
A non‐linear shallow thin shell element is described. The element is a curved quadrilateral
one with corner nodes only. At each node, six degrees of freedom (ie three translations and …

A review on membrane finite elements with drilling degree of freedom

D Boutagouga - Archives of Computational Methods in Engineering, 2021 - Springer
Membrane finite elements have gained increasing importance since the early years of the
finite elements method due to their convenience to a wide range of plane and 3D shell …

A plane hybrid element with rotational DOF and adjustable stiffness

RD Cook - International Journal for Numerical Methods in …, 1987 - Wiley Online Library
A simple formulation of a nine dof plane triangle is achieved by the assumed‐stress hybrid
approach. The element has two translations and the rotation about a normal to the plane as …

Analysis of shell structures by an improved 3-node triangular flat shell element with a bubble function and cell-based strain smoothing

T Chau-Dinh - Thin-Walled Structures, 2023 - Elsevier
An enhanced 3-node triangular flat shell element with 18 degrees of freedom according to
the Reissner–Mindlin theory is presented in this paper. New cell-based smoothed (CS) …

A comparative formulation of T3γs, DST, DKMT and MITC3+ triangular plate elements with new numerical results based on s-norm tests

I Katili, IJ Maknun, JL Batoz, AM Katili - European Journal of Mechanics-A …, 2019 - Elsevier
The paper deals with plate bending triangular elements with shear effect included, having
only three degrees of freedom at each corner node. In that category, we select four elements …