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 …

Free vibration analysis of Kirchhoff plates resting on elastic foundation by mixed finite element formulation based on Gateaux differential

MH Omurtag, A Özütok, AY Aköz… - … journal for numerical …, 1997 - Wiley Online Library
The main objective of the present work is to give the systematic way for derivation of
Kirchhoff plate‐elastic foundation interaction by mixed‐type formulation using the Gâteaux …

Warping included mixed finite elements for bending and stresses of functionally graded exact curved beams

UN Aribas, M Atalay, MH Omurtag - Mechanics of Advanced …, 2024 - Taylor & Francis
This study presents a warping included mixed finite element formulation for the static and
stress analyses of functionally graded (FG) exact curved beams. Another distinctive feature …

Free vibration analysis of orthotropic plates resting on Pasternak foundation by mixed finite element formulation

MH Omurtag, F Kadıoḡlu - Computers & structures, 1998 - Elsevier
In mixed finite element formulation three different methods:(1) Hellinger-Reissner principle
(HR);(2) Hu–Washizu principle (HW);(3) Gâteaux Differential Method (GDM), are widely …

Free vibration of axially FG curved beam on orthotropic Pasternak foundation via mixed FEM

M Ermis, A Kutlu, N Eratlı, MH Omurtag - Journal of the Brazilian Society of …, 2022 - Springer
The main objective of this study is to present an accurate and consistent original formulation
to describe the interaction between planar straight/curved beam structure and orthotropic …

Free vibration analysis of cross-ply laminated composite beams by mixed finite element formulation

A Özütok, E Madenci - International journal of structural stability and …, 2013 - World Scientific
In this study, a mixed-finite element method for free vibration analysis of cross-ply laminated
composite beams is presented based on the" Euler–Bernoulli Beam Theory" and" …

Free vibration analysis of angle-ply laminate composite beams by mixed finite element formulation using the Gâteaux differential

A Ozutok, E Madenci, F Kadioglu - Science and Engineering of …, 2014 - degruyter.com
Free vibration analyses of angle-ply laminated composite beams were investigated by the
Gâteaux differential method in the present paper. With the use of the Gâteaux differential …

The mixed finite element formulation for the thick plates on elastic foundations

N Eratll, AY Aköz - Computers & Structures, 1997 - Elsevier
A new functional has been constructed for Reissner plates on Winkler foundations through a
systematic procedure based on the Gâteaux differential. In this functional there exists eight …

Hyperbolic paraboloid shell analysis via mixed finite element formulation

MH Omurtag, AY Aköz - International journal for numerical …, 1994 - Wiley Online Library
An isoparametric rectangular mixed finite element is developed for the analysis of hypars.
The theory of shallow thin hyperbolic paraboloid shells is based on Kirchhoff–Love's …

Warping-included mixed FE approach of beating characteristics in functionally graded graphene platelet-reinforced composite spatially curved beams under harmonic …

M Ermis - Archive of Applied Mechanics, 2024 - Springer
This study is the first in the literature to investigate the beating characteristics of functionally
graded graphene platelet reinforced composite (FG-GPLRC) spatially curved (helical) …