Journal ArticleDOI
Modeling quasi-static crack growth with the extended finite element method part ii: numerical applications
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TLDR
In this paper, the authors present numerical solutions for the stress intensity factor for crack problems, and also conduct crack growth simulations with the X-FEM, and demonstrate the accuracy and versatility of the method to solve challenging problems in computational failure mechanics.About:
This article is published in International Journal of Solids and Structures.The article was published on 2003-12-01. It has received 164 citations till now. The article focuses on the topics: Extended finite element method & Mixed finite element method.read more
Citations
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Journal ArticleDOI
High-order extended finite element method for cracked domains
TL;DR: In this article, the authors study the capabilities of Extended Finite Element Method (XFEM) to achieve accurate computations in non smooth situations such as crack problems, and show that the XFEM method ensures a weaker error than classical finite element methods, but the rate of convergence is not improved when the mesh parameter h is going to zero because of the presence of a singularity.
Journal ArticleDOI
Conforming polygonal finite elements
N. Sukumar,Alireza Tabarraei +1 more
TL;DR: In this paper, conforming finite elements on polygonal meshes are developed, and a particular contribution is the use of mesh-free (natural-neighbour, nn) basis functions on a canonical element combined with an affine map to construct conforming approximations on convex polygons.
Journal ArticleDOI
Modeling quasi-static crack growth with the extended finite element method Part I: Computer implementation
N. Sukumar,Jean-Herve Prevost +1 more
TL;DR: In this article, the authors present an extended finite element method (X-FEM) for modeling strong (displacement) and weak (strain) discontinuities within a standard finite element framework.
Journal ArticleDOI
An Abaqus implementation of the extended finite element method
TL;DR: An implementation of the extended finite element method for fracture problems within the finite element software ABAQUSTM is introduced and several numerical examples in fracture mechanics are presented to demonstrate the benefits of the proposed implementation.
Book
Extended finite element method for fracture analysis of structures
TL;DR: In this paper, the authors present a review of the literature on finite element fracture models and their application in the field of finite element finite element models (FEM) and fracture mechanics.
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.
Book
The stress analysis of cracks handbook
TL;DR: The Stress Analysis of Cracks Handbook as mentioned in this paper provides a comprehensive, easy-to-access collection of elastic stress solutions for crack configurations, along with other relevant information, such as displacements, crack opening areas, basic stress functions source references, accuracy of solutions, and more.
Journal ArticleDOI
On the Crack Extension in Plates Under Plane Loading and Transverse Shear
Fazil Erdogan,G.C. Sih +1 more
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.
Book ChapterDOI
Mixed mode cracking in layered materials
John W. Hutchinson,Zhigang Suo +1 more
TL;DR: In this article, the authors describe the mixed mode cracking in layered materials and elaborates some of the basic results on the characterization of crack tip fields and on the specification of interface toughness, showing that cracks in brittle, isotropic, homogeneous materials propagate such that pure mode I conditions are maintained at the crack tip.
Related Papers (5)
The partition of unity finite element method: Basic theory and applications
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