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Journal ArticleDOI

A co-rotational, updated Lagrangian formulation for geometrically nonlinear finite element analysis of shell structures

TLDR
In this article, a co-rotational, updated Lagrangian formulation for geometrically nonlinear analysis of shells is presented, which is ideally suited for implementation in existing linear finite element programs and has been demonstrated by a number of numerical examples.
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This article is published in Finite Elements in Analysis and Design.The article was published on 1994-01-02. It has received 18 citations till now. The article focuses on the topics: Mixed finite element method & Finite element method.

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Citations
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Journal ArticleDOI

A survey of recent shell finite elements

TL;DR: A comprehensive survey of the literature on curved shell finite elements can be found in this article, where the first two present authors and Liaw presented a survey of such literature in 1990 in this journal.
Journal ArticleDOI

Geometrically Nonlinear Analysis of Shell Structures Using a Flat Triangular Shell Finite Element

TL;DR: In this paper, the authors present a review on geometrically nonlinear analysis of shell structures that is limited to the co-rotational approach and to flat triangular shell finite elements.
Proceedings ArticleDOI

Flapping Wing CFD/CSD Aeroelastic Formulation Based on a Co- rotational Shell Finite Element

TL;DR: In this article, a computational framework for simulating shell-like wing structures flapping in incompressible flow at low Reynolds numbers in both hover and forward flight is presented by coupling an in-house co-rotational finite element structural dynamics solver suitable for small strain and large rotations, to an inhouse pressure-based Navier-Stokes solver.
Journal ArticleDOI

Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992‐1995)

TL;DR: A bibliographical review of the finite element methods applied for the linear and nonlinear, static and dynamic analyses of basic structural elements from the theoretical as well as practical points of view is given.
Journal ArticleDOI

Enhanced transverse shear strain shell formulation applied to large elasto-plastic deformation problems

TL;DR: In this article, a previously proposed Enhanced Assumed Strain (EAS) finite element formulation for thin shells is revised and extended to account for isotropic and anisotropic material nonlinearities.
References
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Book

The finite element method

TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Book

Finite element procedures in engineering analysis

TL;DR: Elements finis Reference Record created on 2004-09-07, modified on 2016-08-08.
Journal ArticleDOI

An excursion into large rotations

TL;DR: In this article, the authors developed an enlarged exploration of the matrix formulation of finite rotations in space initiated in [1] and showed how a consistent but subtle matrix calculus inevitably leads to a number of elegant expressions for the transformation or rotation matrix T appertaining to a rotation about an arbitrary axis.
Journal ArticleDOI

On a stress resultant geometrically exact shell model. Part III: computational aspects of the nonlinear theory

TL;DR: In this article, a configuration update procedure for the director (rotation) field is developed, which is singularity free and exact regardless the magnitude of the rotation increment, and the exact linearization of the discrete form of the equilibrium equations is derived in closed form.
Journal ArticleDOI

Nonlinear finite element analysis of shells: Part I. three-dimensional shells

TL;DR: In this article, a nonlinear finite element formulation is presented for the three-dimensional quasistatic analysis of shells which accounts for large strain and rotation effects, and accommodates a fairly general class of nonlinear, finite-deformation constitutive equations.
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