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
Citations
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SHB8PS––a new adaptative, assumed-strain continuum mechanics shell element for impact analysis
TL;DR: In this paper, an eight-node brick element is proposed to adjust to the physical situation automatically in the sense that the stabilizing forces are chosen to be proportional to the mean tangent modulus of the material across the thickness.
Journal ArticleDOI
High-order triangular sandwich plate finite element for linear and non-linear analyses
TL;DR: In this paper, a new C1 six-node triangular finite element for geometrically linear and non-linear elastic multilayered composite plates is presented, which is based on a new kind of kinematics proposed by Touratier [1], and built on the Argyris interpolation for bending and the Ganev interpolations for membrane displacements and transverse shear rotations.
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A quadrilateral shell element using a mixed formulation
TL;DR: In this paper, a quadrilateral shell element consisting of five nodes, four corner nodes and a central node is developed for linear elastic analysis of thin as well as moderately thick shells.
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T-spline finite element method for the analysis of shell structures
Tae-Kyoung Uhm,Sung-Kie Youn +1 more
TL;DR: In this paper, a T-spline finite element method (FEM) is proposed for the analysis of shells, in which every control point is mapped into one geometric point on the surface, and a simple mapping scheme is employed to eliminate the limitations.
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Integrated force method versus displacement method for finite element analysis
TL;DR: In this paper, the authors compared the performance of the integrated force method (IFM) and the stiffness method (SM) relative to the structure of their respective equations, their conditioning, required solution methods, overall computational requirements and convergence properties as these factors influence the accuracy of the results.
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.
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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.