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Journal ArticleDOI

A geometric and material nonlinear plate and shell element

TLDR
In this article, a displacement-based finite element is presented for linear and geometric and material nonlinear analysis of plates and shells, which can be implemented as a variable-number-nodes element and can also be employed as a fully compatible transition element to model shell intersections.
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This article is published in Computers & Structures.The article was published on 1980-02-01. It has received 233 citations till now. The article focuses on the topics: Mixed finite element method & Extended finite element method.

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BookDOI

Non-Linear Finite Element Analysis of Solids and Structures: de Borst/Non-Linear Finite Element Analysis of Solids and Structures

TL;DR: De Borst et al. as mentioned in this paper present a condensed version of the original book with a focus on non-linear finite element technology, including nonlinear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity.
Journal ArticleDOI

A continuum mechanics based four‐node shell element for general non‐linear analysis

TL;DR: In this article, a general quadrilateral shell element for geometric and material nonlinear analysis is presented, which is formulated using three-dimensional continuum mechanics theory and it is applicable to the analysis of thin and thick shells.
Journal ArticleDOI

Theories and Finite Elements for Multilayered, Anisotropic, Composite Plates and Shells

TL;DR: In this article, an overview of available theories and finite elements that have been developed for multilayered, anisotropic, composite plate and shell structures is presented. But, although a comprehensive description of several techniques and approaches is given, most of this paper has been devoted to the so called axiomatic theories and related finite element implementations.
Journal ArticleDOI

A study of three‐node triangular plate bending elements

TL;DR: In this article, an assessment of flat triangular plate bending elements with displacement degrees-of-freedom at the three comer nodes only is presented, with the purpose of identifying the most effective for thin plate analysis.
Journal ArticleDOI

A formulation of general shell elements—the use of mixed interpolation of tensorial components†

TL;DR: This work describes the formulation of a 4-node shell element using a mixed interpolation of tensorial components, and presents a new 8-node element using this approach.
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

Numerical methods in finite element analysis

TL;DR: Numerical methods in finite element analysis, Numerical techniques in finite elements analysis, and so on.
Journal ArticleDOI

Analysis of thick and thin shell structures by curved finite elements

TL;DR: In this article, a general formulation for the curved, arbitrary shape of thick shell finite elements is presented along with a simplified form for axisymmetric situations, which is suitable for thin to thick shell applications.
Journal ArticleDOI

Finite element formulations for large deformation dynamic analysis

TL;DR: In this paper, finite element incremental formulations for non-linear static and dynamic analysis are reviewed and derived starting from continuum mechanics principles, and a consistent summary, comparison, and evaluation of the formulations which have been implemented in the search for the most effective procedure.
Journal ArticleDOI

A simple and efficient finite element for plate bending

TL;DR: In this paper, a simple and efficient finite element is introduced for plate bending applications, where Bilinear displacement and rotation functions are employed in conjunction with selective reduced integration, and the element is surprisingly accurate.
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