A review of the scaled boundary finite element method for two-dimensional linear elastic fracture mechanics
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In this article, the development and application of the scaled boundary finite element method for fracture analysis is reviewed, with the only limitation that the whole boundary is directly visible from the scaling centre.About:
This article is published in Engineering Fracture Mechanics.The article was published on 2017-10-01 and is currently open access. It has received 120 citations till now. The article focuses on the topics: Boundary knot method & Extended finite element method.read more
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Proceedings Article
The scaled boundary finite-element method – a primer: derivations
John P. Wolf,Chongmin Song +1 more
TL;DR: In this paper, the LCH-CONF-1998-009 Record created on 2007-04-24, modified on 2016-08-08, was used as a reference.
Journal ArticleDOI
Discrete and phase field methods for linear elastic fracture mechanics: A comparative study and state-of-the-art review
Adrian Egger,Udit Pillai,Konstantinos Agathos,Emmanouil G. Kakouris,Eleni Chatzi,Ian A. Aschroft,Savvas P. Triantafyllou +6 more
TL;DR: In this paper, the authors provide a critical literature review, emphasizing on the mathematical, conceptual and implementation particularities that lead to the specific advantages and disadvantages of each method, as well as to offer numerical examples that help illustrate these features.
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An overview on advances in computational fracture mechanics of rock
M. Mohammadnejad,M. Mohammadnejad,Hongyuan Liu,Andrew Chan,Sevda Dehkhoda,Daisuke Fukuda,Daisuke Fukuda +6 more
TL;DR: This paper provided a review of recent advances in computational analysis of the rock fracture process, which is built upon a number of literature on numerical modelling of mechanics of failure in rock and other brittle materials.
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Extended virtual element method for the Laplace problem with singularities and discontinuities
TL;DR: The extended virtual element method (X-VEM) is proposed to treat singularities and crack discontinuities that arise in the Laplace problem and results are presented that affirm the sound accuracy and demonstrate the optimal rates of convergence in the L 2 norm and energy.
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Reliability analysis of fatigue crack growth for rail steel under variable amplitude service loading conditions and wear
TL;DR: In this article, the effect of variable amplitude service loading conditions and wear phenomenon on reliability analysis for rail steel was investigated, where the rail with the exact geometry of the profile in the railway systems and the boundary element method has been used.
References
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Journal ArticleDOI
A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks
TL;DR: In this paper, an integral is exhibited which has the same value for all paths surrounding a class of notches in two-dimensional deformation fields of linear or non-linear elastic materials.
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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.
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On the Stress Distribution at the Base of a Stationary Crack
TL;DR: In this article, it was shown that at the base of the crack in the direction of its prolongation, the principal stresses are equal, thus tending toward a two-dimensional (two-dimensional) hydrostatic tension.
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