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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A 10-node tetrahedral element with condensed Lagrange multipliers for the modified couple stress theory
TL;DR: In this paper, a mixed tetrahedral element based on the Lagrange multiplier is developed for the modified couple stress theory, which is used for the analysis of micro/nano-scale structures.
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Information-based numerical practice
TL;DR: Some theoretical ideas on how to deal with uncertain information are discussed and the example of a universal quadrature formula is introduced.
Journal ArticleDOI
Hybrid/mixed assumed stress element for anisotropic laminated elliptical and parabolic shells
TL;DR: In this paper, a deformable four-noded finite element based on hybrid/mixed assumed stress is presented for the analysis of elliptical/parabolic dome type structures.
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Two New Quadrilateral Elements Based on Strain States
TL;DR: In this article, two new quadrilateral elements are formulated to solve plane problems, which satisfy low sensitivity to geometric distortion, no parasitic shear error, rotational invariance, and satisfying the Felippa pure bending test.
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A general-purpose, inelastic, rotation-free Kirchhoff–Love shell formulation for peridynamics
TL;DR: In this article , a rotation-free Kirchhoff-love (KL) shell formulation for peridynamics (PD) is presented, which is capable of modeling large elasto-plastic deformations and fracture in thin-walled structures.
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.
Journal ArticleDOI
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.