Developments of Mindlin‐Reissner plate elements

S Cen, Y Shang - Mathematical Problems in Engineering, 2015 - Wiley Online Library
Since 1960s, how to develop high‐performance plate bending finite elements based on
different plate theories has attracted a great deal of attention from finite element researchers …

A new discrete Kirchhoff‐Mindlin element based on Mindlin‐Reissner plate theory and assumed shear strain fields—part I: An extended DKT element for thick‐plate …

I Katili - International Journal for Numerical Methods in …, 1993 - Wiley Online Library
This is the first of a two‐part paper on plate bending elements with shear effects included.
This paper presents a new three‐node, nine‐dof triangular plate bending element valid for …

Finite element modelling of structures including piezoelectric active devices

J Kim, VV Varadan, VK Varadan - International journal for …, 1997 - Wiley Online Library
Finite element modelling is used to study the response of plate structures on which
piezoelectric active devices are mounted. Such devices are typically small in relation to the …

The curved beam/deep arch/finite ring element revisited

G Prathap - International Journal for Numerical Methods in …, 1985 - Wiley Online Library
In this paper, an attempt is made to understand the errors arising in curved finite elements
which undergo both flexural and membrane deformations. It is shown that with elements of …

A field-consistent, four-noded, laminated, anisotropic plate/shell element

BR Somashekar, G Prathap, CR Babu - Computers & structures, 1987 - Elsevier
The development of simple but efficient and accurate finite-element models of laminated,
anisotropic plate and shell behaviour has been particularly difficult because of two problems …

Locking and shear scaling factors in C° bending elements

N Carpenter, T Belytschko, H Stolarski - Computers & Structures, 1986 - Elsevier
Two types of locking are identified in linear field C° elements: locking caused by shear
resistance in constant curvature deformation and in linear curvature deformation …

Composite plate analysis using a new discrete shear triangular finite element

P Lardeur, JL Batoz - International Journal for Numerical …, 1989 - Wiley Online Library
This paper deals with the static and dynamic (free vibrations) analysis of plates built up with
a symmetric series of orthotropic layers. The formulation of a new simple triangular finite …

On the equivalence of mode decomposition and mixed finite elements based on the hellinger-reissner principle. part I: Theory

H Stolarski, T Belytschko - Computer methods in applied mechanics and …, 1986 - Elsevier
A theorem is presented which defines the conditions under which an equivalent mixed finite
element based on the Hellinger-Reissner principle exists for a given mode decomposition …

A thick–thin triangular plate element

X Zhongnian - International Journal for Numerical Methods in …, 1992 - Wiley Online Library
A simple and efficient triangular finite element is introduced for plate bending applications.
The element is a three‐node triangular one with three basic degrees of freedom per node …

An improved four‐node hybrid‐mixed element based upon Mindlin's plate theory

R Ayad, A Rigolot - International Journal for Numerical Methods …, 2002 - Wiley Online Library
Based on the mixed shear projected (MiSP) approach (Reference [54]: Int. J. Numer. Meth.
Engng 1998; 42: 1149–1179), an enhanced bending approximation for homogeneous …