Journal ArticleDOI
An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order
Hung Nguyen-Xuan,Hung Nguyen-Xuan,Gui-Rong Liu,Stéphane Bordas,Sundararajan Natarajan,Timon Rabczuk +5 more
TLDR
In this paper, a singular edge-based smoothed finite element method (sES-FEM) is proposed for mechanics problems with singular stress fields of arbitrary order, which uses a basic mesh of three-noded linear triangular (T3) elements and a special layer of fivenoded singular triangular elements (sT5) connected to the singular point of the stress field.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2013-01-01. It has received 189 citations till now. The article focuses on the topics: Singular solution & Singular integral.read more
Citations
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Journal ArticleDOI
Smoothed Finite Element Methods (S-FEM): An Overview and Recent Developments
Wei Zeng,Gui-Rong Liu +1 more
TL;DR: The smoothed finite element methods (S-FEM) as discussed by the authors are a family of methods formulated through carefully designed combinations of the standard FEM and some of the techniques from the mesh free methods.
Journal ArticleDOI
An Overview on Meshfree Methods: For Computational Solid Mechanics
TL;DR: This review paper presents a methodological study on possible and existing meshfree methods for solving the partial differential equations (PDEs) governing solid mechanics problems, based mainly on the research work in the past two decades at the authors group.
Journal ArticleDOI
A non-ordinary state-based peridynamics formulation for thermoplastic fracture
TL;DR: In this paper, a three-dimensional non-ordinary state-based peridynamics (NOSB-PD) formulation for thermomechanical brittle and ductile fracture is presented.
Journal ArticleDOI
A review on nanomechanical resonators and their applications in sensors and molecular transportation
TL;DR: In this article, a review on the mechanical properties and applications of nanoresonators is presented, and an extended application of the transportation methods for building nanofiltering systems with ultra-high selectivity is surveyed.
Journal ArticleDOI
A scaled boundary polygon formulation for elasto-plastic analyses
TL;DR: In this article, a scaled boundary polygon formulation is presented to model elasto-plastic material responses in structures, where the stiffness matrix and residual load vector are matrix power integrals that can be evaluated analytically even when a strain singularity is present.
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.
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.
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
Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement
TL;DR: In this article, the concept of isogeometric analysis is proposed and the basis functions generated from NURBS (Non-Uniform Rational B-Splines) are employed to construct an exact geometric model.
Book
Finite Element Analysis
B. A. Szabó,Ivo Babuška +1 more
TL;DR: In this article, the authors present a general solution based on the principle of virtual work for two-dimensional linear elasticity problems and their convergence rates in one-dimensional dimensions. But they do not consider the case of three-dimensional LEL problems.
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Cracking particles: A simplified meshfree method for arbitrary evolving cracks
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