Journal ArticleDOI
A finite element for transition from a fine to a coarse grid
TLDR
In this article, a modified quadrature formula is used to numerically integrate discontinuous functions in the expression of the stiffness matrix, which makes it possible to match one element with two elements side-by-side.Abstract:
Formulation of a transition element is presented. Such an element makes it possible to match one element with two elements side-by-side. A modified quadrature formula is used to numerically integrate discontinuous functions in the expression of the stiffness matrix. Numerical examples show the applicability of the element.read more
Citations
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Journal ArticleDOI
Finite element mesh generation methods: a review and classification
TL;DR: In this article, a scheme for classifying mesh generation methods is proposed, whereby seven major mesh generation approaches are identified and the basis for classification is the temporal order in which nodes and elements are created.
Journal ArticleDOI
A Moving Morphable Void (MMV)-based explicit approach for topology optimization considering stress constraints
TL;DR: A Moving Morphable Void (MMV)-based approach to stress-constrained topology optimization that provides the possibility of obtaining optimized designs with crisp and explicitly parameterized boundaries using much fewer numbers of degrees of freedom for finite element analysis and design variables for optimization, respectively.
Journal ArticleDOI
Finite Element Model for Masonry Subjected to Concentrated Loads
Sk. Sekender Ali,Adrian Page +1 more
TL;DR: In this paper, a finite element model for brick masonry subjected to in-plane loading is presented, which reproduces the nonlinear characteristics of masonry caused by material nonlinearity and progressive local failure.
Journal ArticleDOI
Adaptation of quadtree meshes in the scaled boundary finite element method for crack propagation modelling
TL;DR: A crack propagation modelling technique combining the scaled boundary finite element method and quadtree meshes is developed that automatically satisfies the compatibility requirement between adjacent quadtree cells irrespective of the presence of hanging nodes.
Journal ArticleDOI
Hanging nodes and XFEM
TL;DR: In this article, two approaches for the handling of hanging nodes in the framework of extended finite element methods (XFEM) are investigated. But they differ in whether (enriched) degrees of freedom are associated with the hanging nodes.
References
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Book
Theory of elasticity
TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
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