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
More filters
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
An h-p adaptive method using clouds
TL;DR: It is shown how h, p and h- p adaptivity can be implemented in the h-p cloud method without traditional grid concepts typical of finite element methods.
Journal ArticleDOI
Isogeometric shell analysis with Kirchhoff–Love elements
TL;DR: In this article, a nonlinear Kirchhoff-love shell element is developed on the basis of the isogeometric approach, which is discretized by displacement degrees of freedom only.
Journal ArticleDOI
On a stress resultant geometrically exact shell model. Part II: the linear theory; computational aspects
TL;DR: In this article, a discrete canonical, singularity-free mapping between the five and the six degree of freedom formulation is constructed by exploiting the geometric connection between the orthogonal group (SO(3)) and the unit sphere (S2).
Journal ArticleDOI
An Isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
Dominik Schillinger,Dominik Schillinger,Luca Dedè,Michael A. Scott,John A. Evans,Michael J. Borden,Ernst Rank,Thomas J. R. Hughes +7 more
TL;DR: It is shown that hierarchical refinement considerably increases the flexibility of this approach by adaptively resolving local features of NURBS, which combines full analysis suitability of the basis with straightforward implementation in tree data structures and simple generalization to higher dimensions.
References
More filters
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.