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Simple and effective approach to modeling crack propagation in the framework of extended finite element method

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TLDR
The numerical results reveal that the proposed method can obtain SIFs accurately and it can predict a better crack trajectory for crack simulation and has the advantage over the J-integral method and it is benefit for the simulation of large-scale engineering problems.
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This article is published in Theoretical and Applied Fracture Mechanics.The article was published on 2020-04-01. It has received 21 citations till now. The article focuses on the topics: Extended finite element method & Stress intensity factor.

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A field-enriched finite element method for brittle fracture in rocks subjected to mixed mode loading

TL;DR: In this article, a field-enriched finite element method is proposed to simulate the crack propagation and coalescence of brittle rocks subjected to mixed mode loading, and three semi-circular bending (SCB) configurations are employed to investigate the effect of different factors on the fracture patterns under mixed-mode loading.
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Theoretical and numerical models of rock wing crack subjected to hydraulic pressure and far-field stresses

TL;DR: In this paper, the authors studied the evolution laws of SIF at the wing crack tip subjected to hydraulic pressure and far-field stresses, theoretically and numerically, based on the previous proposed wing crack models without considering hydraulic pressure.
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Effects of arbitrary holes/voids on crack growth using local mesh refinement adaptive XIGA

TL;DR: In this article, a locally refined (LR) B-splines extended isogeometric analysis (XIGA) was applied to evaluate the stress intensity factors (SIFs), and the direction of crack growth was determined with the maximum circumferential stress criterion.
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.
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Elastic crack growth in finite elements with minimal remeshing

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.
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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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REGULARIZATION TOOLS: A Matlab package for analysis and solution of discrete ill-posed problems

TL;DR: The package REGULARIZATION TOOLS consists of 54 Matlab routines for analysis and solution of discrete ill-posed problems, i.e., systems of linear equations whose coefficient matrix has the properties that its condition number is very large, and its singular values decay gradually to zero.
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