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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Integrated XFEM-CE analysis of delamination migration in multi-directional composite laminates
TL;DR: In this paper, an integrated extended finite element method (XFEM) and cohesive element (CE) method for three-dimensional (3D) delamination migration in multi-directional composite laminates, and validates the results with experiment performed on a double-cantilever beam (DCB).
Journal ArticleDOI
An embedded strong discontinuity model for cracking of plain concrete
TL;DR: In this article, a numerical model formulated within the framework of a nonsymmetric strong discontinuity approach for fracture simulations of plain concrete is presented, based on the fixed crack concept and makes use of the concept of the elements with embedded discontinuities.
Journal ArticleDOI
Extended embedded finite elements with continuous displacement jumps for the modeling of localized failure in solids
TL;DR: In this paper, an extended embedded finite element with continuous displacement jumps for the modeling of localized failure in solids is presented. But the model is not suitable for 2D quadrilateral elements.
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Multiscale methods for mechanical science of complex materials: Bridging from quantum to stochastic multiresolution continuum
TL;DR: The bridging scale method (BSM) was originally proposed by Wagner and Liu as mentioned in this paper as an effective way of treating the interface in coupled atomistic/continuum simulation, which has become a very useful paradigm that has been applied to solve a host of problems in mechanical sciences of complex material systems.
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On the numerical stability and mass-lumping schemes for explicit enriched meshfree methods
TL;DR: A group of problems that have attracted a great deal of attention from the EFG method community includes the treatment of large deformations and dealing with strong discontinuities such as cracks, one efficient solution to model cracks is adding special enrichment functions to the standard shape functions.
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