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 …

Assumed strain stabilization of the eight node hexahedral element

T Belytschko, LP Bindeman - Computer Methods in Applied Mechanics and …, 1993 - Elsevier
An accurate and robust stabilization based on the assumed strain method and an operator
orthogonal to constant strain fields is presented for an eight-node hexahedral element with …

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 …

[图书][B] Numerical methods in structural mechanics

Z Bittnar, J Sejnoha - 1996 - books.google.com
Bittnar and Sejnoha clearly examine the nature and theoretical basis of the most popular
numerical methods in structural mechanics-the finite elementary method (FEM) and the …

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 survey of finite element models for the analysis of moderately thick shells

W Gilewski, M Radwańska - Finite Elements in Analysis and Design, 1991 - Elsevier
This paper surveys about 350 publications related to the finite element models of moderately
thick shells, concentrating on those related to consistent displacement and …

Four-node 'flat'shell element: drilling degrees of freedom, membrane-bending coupling, warped geometry, and behavior

RD Cook - Computers & structures, 1994 - Elsevier
A very simple way to obtain a quadrilateral shell element is to write membrane and bending
stiffness matrices for a flat geometry and add them. This basic membrane-plus-bending …

Advances in the formulation of the rotation-free basic shell triangle

E Onate, FG Flores - Computer methods in applied mechanics and …, 2005 - Elsevier
A family of rotation-free three node triangular shell elements is presented. The simplest
element of the family is based on an assumed constant curvature field expressed in terms of …

The embedded discontinuous Galerkin method: application to linear shell problems

S Güzey, B Cockburn… - International journal for …, 2007 - Wiley Online Library
A new discontinuous Galerkin method for elliptic problems which is capable of rendering the
same set of unknowns in the final system of equations as for the continuous displacement …

An efficient quadrilateral element for plate bending analysis

AF Saleeb, TY Chang - International Journal for numerical …, 1987 - Wiley Online Library
A simple, shear flexible, quadrilateral plate element is developed based on the
Hellinger/Reissner mixed variational principle with independently assumed displacement …