Journal ArticleDOI
A proposed standard set of problems to test finite element accuracy
TLDR
A proposed standard set of test problems is described and applied to representative quadrilateral plate and solid brick finite elements, some of which have become de facto standards for comparing the accuracy of finite elements.About:
This article is published in Finite Elements in Analysis and Design.The article was published on 1985-04-01. It has received 988 citations till now. The article focuses on the topics: Finite element method & Set (abstract data type).read more
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Static assessment of quadratic hybrid plane stress element using non-conforming displacement modes and modified shape functions
TL;DR: In this article, a quadratic element model based on non-conforming displacement modes and modified shape functions is proposed to improve the behavior of a membrane component in a hybrid stress plane element.
Journal ArticleDOI
A practicable and highly accurate flat shell hybrid element for engineering applications on a PC
H. Alaylioglu,Ayse Alaylioglu +1 more
TL;DR: In this article, a flat shell element is generated by way of the practicable hybrid FE algorithms for high speed engineering applications on a PC, which is described by a simple stress field and a displacement field characterized by six physical degrees of freedom per node, achieving interelement slope continuity.
Journal ArticleDOI
Development of Eight-Node Curved-Side Quadrilateral Membrane Element Using Chain Direct Integration Scheme (SCDI) in Area Coordinates (MHCQ8-DI)
Guoxiang Zhang,Min Wang +1 more
TL;DR: An integration scheme using successively direct integration and conventional numerical integration to solve the element stiffness matrix is proposed, and an eight-node curved-side quadrilateral membrane element with general interpolation points is constructed.
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A Four-Node Tetrahedral Finite Element Based on Space Fiber Rotation Concept
Kamel Meftah,Lakhdar Sedira +1 more
TL;DR: In this paper, a four-node tetrahedral solid finite element SFR4 with rotational degrees of freedom (DOF) based on the Space Fiber Rotation (SFR) concept for modeling three-dimensional solid structures is presented.
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A continuity re-relaxed thin shell formulation for static and dynamic analyses of linear problems
Xiangyang Cui,Gang Wang,G.Y. Li +2 more
TL;DR: In this paper, a curvature-constructed triangular element for static, free vibration and explicit dynamic analyses of shell structures by using a continuity re-relaxed technique is presented.
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
Theory of plates and shells
TL;DR: In this article, the authors describe the bending of long RECTANGULAR PLATES to a cycloidal surface, and the resulting deformation of shels without bending the plates.
Journal ArticleDOI
Reduced integration technique in general analysis of plates and shells
TL;DR: In this article, a simple extension is made which allows the element to be economically used in all situations by reducing the order of numerical integration applied to certain terms without sacrificing convergence properties.
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A simple quadrilateral shell element
TL;DR: In this article, the authors describe a new four-noded quadrilateral shell element called QUAD4, which is based on isoparametric principles with modifications which relax excessive constraints.
Journal ArticleDOI
Derivation of element stiffness matrices by assumed strain distributions
TL;DR: In this paper, a strain field is assumed and then related to nodal displacements by line integration of the strain field along straight line segments between pairs of nodal points, and the result was not an unqualified success in that the element does not pass the patch test for arbitrary shape, even though it eliminates the locking phenomenon observed in some applications of the corresponding reduced shear isoparametric element.