Journal ArticleDOI
Discontinuous enrichment in finite elements with a partition of unity method
TLDR
An approximate analytical method is presented to evaluate efficiently and accurately the call blocking probabilities in wavelength routing networks with multiple classes of calls, and path decomposition algorithms for single-class wavelength routing Networks may be readilt extended to the multiclass case.About:
This article is published in Finite Elements in Analysis and Design.The article was published on 2000-11-01. It has received 411 citations till now. The article focuses on the topics: Call blocking & Network model.read more
Citations
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Numerical Simulation of Rock Dynamic Fracturing and Failure including Microscale Material Randomness
TL;DR: In this article, the authors use the spacetime Discontinuous Galerkin (SDG) method to capture complex fracture patterns observed in dynamic rock fracture, such as crack path oscillations, microcracking, and crack bifurcation.
Journal ArticleDOI
On stochastic FEM based computational homogenization of magneto-active heterogeneous materials with random microstructure
Dmytro Pivovarov,Paul Steinmann +1 more
TL;DR: The stochastic version of the FEM is applied to the homogenization of magneto-elastic heterogeneous materials with random microstructure to capture accurately the discontinuities appearing at matrix-inclusion interfaces.
Proceedings ArticleDOI
Mesh cutting during real-time physical simulation
TL;DR: This work presents a method for representing and computing, at interactive rates, the deformations of a mesh whose topology is being dynamically modified with multiple virtual tools and is shown to scale well with problem size allowing realistic interaction with fairly large models.
Journal ArticleDOI
Fatigue life estimation and crack propagation analysis of orthotropic lamina using XIGA methodology
Vikas Kaushik,Anup Ghosh +1 more
TL;DR: In this article, a NURBS-based Extended Isogeometric Analysis (XIGA) code has been developed for fracture analysis of orthotropic lamina, which is capable of an efficient analysis of cr...
Journal ArticleDOI
Modelling interfacial cracking and matrix cracking in particle reinforced composites using the extended Voronoi cell finite element method
TL;DR: In this article, a new extended Voronoi cell finite element method (X-VCFEM), in which two new elements in the crack propagation process are proposed and a remeshing algorithm is constructed, is proposed to model the initiation and propagation of the interface crack and the matrix crack in particulate reinforced composites.
References
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Journal ArticleDOI
A finite element method for crack growth without remeshing
TL;DR: In this article, a displacement-based approximation is enriched near a crack by incorporating both discontinuous elds and the near tip asymptotic elds through a partition of unity method.
Journal ArticleDOI
Element‐free Galerkin methods
Ted Belytschko,Y. Y. Lu,L. Gu +2 more
TL;DR: In this article, an element-free Galerkin method which is applicable to arbitrary shapes but requires only nodal data is applied to elasticity and heat conduction problems, where moving least-squares interpolants are used to construct the trial and test functions for the variational principle.
Book
Elliptic Problems in Nonsmooth Domains
TL;DR: Second-order boundary value problems in polygons have been studied in this article for convex domains, where the second order boundary value problem can be solved in the Sobolev spaces of Holder functions.
Journal ArticleDOI
Elastic crack growth in finite elements with minimal remeshing
Ted Belytschko,T. Black +1 more
TL;DR: In this article, a minimal remeshing finite element method for crack growth is presented, where Discontinuous enrichment functions are added to the finite element approximation to account for the presence of the crack.
Journal ArticleDOI
The partition of unity finite element method: Basic theory and applications
Jens Markus Melenk,Ivo Babuška +1 more
TL;DR: In this article, the basic ideas and the mathematical foundation of the partition of unity finite element method (PUFEM) are presented and a detailed and illustrative analysis is given for a one-dimensional model problem.
Related Papers (5)
The partition of unity finite element method: Basic theory and applications
Jens Markus Melenk,Ivo Babuška +1 more