Element-wise fracture algorithm based on rotation of edges
TLDR
In this article, the authors proposed an alternative, simpler algorithm for FEM-based computational fracture in brittle, quasi-brittle and ductile materials based on edge rotations.About:
This article is published in Engineering Fracture Mechanics.The article was published on 2013-09-01 and is currently open access. It has received 223 citations till now. The article focuses on the topics: Path (graph theory) & Extended finite element method.read more
Figures
![Figure 25: ARCAN test: relevant data. Further details are given in the original reference [60].](/figures/figure-25-arcan-test-relevant-data-further-details-are-given-1ll0cn5t.png)
Figure 25: ARCAN test: relevant data. Further details are given in the original reference [60]. ![Figure 23: Four-point bending of a concrete beam: crack paths compared with the envelope of experimental results by Bocca, Carpintieri and Valente [22].](/figures/figure-23-four-point-bending-of-a-concrete-beam-crack-paths-3iq89349.png)
Figure 23: Four-point bending of a concrete beam: crack paths compared with the envelope of experimental results by Bocca, Carpintieri and Valente [22]. ![Figure 24: Load-displacement results, compared with the results of Bocca et al. [22] and the cracking particle method of Rabczuk and Belytschko [54] (for the case b = 200 mm) with their 68000 particle analysis.](/figures/figure-24-load-displacement-results-compared-with-the-2d799py2.png)
Figure 24: Load-displacement results, compared with the results of Bocca et al. [22] and the cracking particle method of Rabczuk and Belytschko [54] (for the case b = 200 mm) with their 68000 particle analysis. ![Figure 30: Pressure vessel with slot: comparison with experimental results (cf. [39]).](/figures/figure-30-pressure-vessel-with-slot-comparison-with-3vi3f26h.png)
Figure 30: Pressure vessel with slot: comparison with experimental results (cf. [39]). 
Figure 13: CMOD/Load results for the two specimens.
![Figure 25: ARCAN test: relevant data. Further details are given in the original reference [60].](/figures/figure-25-arcan-test-relevant-data-further-details-are-given-1ll0cn5t.webp)
![Figure 23: Four-point bending of a concrete beam: crack paths compared with the envelope of experimental results by Bocca, Carpintieri and Valente [22].](/figures/figure-23-four-point-bending-of-a-concrete-beam-crack-paths-3iq89349.webp)
![Figure 24: Load-displacement results, compared with the results of Bocca et al. [22] and the cracking particle method of Rabczuk and Belytschko [54] (for the case b = 200 mm) with their 68000 particle analysis.](/figures/figure-24-load-displacement-results-compared-with-the-2d799py2.webp)
![Figure 30: Pressure vessel with slot: comparison with experimental results (cf. [39]).](/figures/figure-30-pressure-vessel-with-slot-comparison-with-3vi3f26h.webp)
Citations
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Journal ArticleDOI
Dual‐horizon peridynamics
Huilong Ren,Xiaoying Zhuang,Xiaoying Zhuang,Yongchang Cai,Yongchang Cai,Timon Rabczuk,Timon Rabczuk +6 more
TL;DR: In this article, a dual-horizon peridynamics (DH-PD) formulation is proposed to solve the ghost force issue by considering the unbalanced interactions between the particles with different horizon sizes.
Journal ArticleDOI
A phase-field modeling approach of fracture propagation in poroelastic media
TL;DR: In this paper, a phase field model for fracture in poroelastic media is proposed, where the fracture propagation is driven by the elastic energy where the phase field is used as an interpolation function to transit fluid property from the intact medium to the fully broken one.
Journal ArticleDOI
Phase-field analysis of finite-strain plates and shells including element subdivision
Pedro M. A. Areias,Pedro M. A. Areias,Timon Rabczuk,Timon Rabczuk,Mohammed A. Msekh,Mohammed A. Msekh +5 more
TL;DR: In this paper, a phase-field model of crack regularization was proposed for elastic and elasto-plastic materials, where two independent phase fields correspond to the lower and upper faces of the shell.
Journal ArticleDOI
Phase field modelling of crack propagation, branching and coalescence in rocks
TL;DR: In this paper, a phase field model (PFM) is presented for simulating complex crack patterns including crack propagation, branching and coalescence in rock, based on the strain decomposition for the elastic energy, which drives the evolution of the phase field.
Journal ArticleDOI
Phase field modelling of crack propagation, branching and coalescence in rocks
TL;DR: In this paper, a phase field model (PFM) is presented for simulating complex crack patterns including crack propagation, branching and coalescence in rock, based on the strain decomposition for the elastic energy, which drives the evolution of the phase field.
References
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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
On the Crack Extension in Plates Under Plane Loading and Transverse Shear
Fazil Erdogan,G.C. Sih +1 more
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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
Fracture and Size Effect in Concrete and Other Quasibrittle Materials
Zdeněk P. Bažant,Jaime Planas +1 more
TL;DR: In this paper, the authors used the Weibull-type approach to measure the effect of size effect on structural strength of a crack and its size effect in terms of the number of cracks and the size of the cracks.
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A finite element calculation of stress intensity factors by a modified crack closure integral
E.F. Rybicki,M. F. Kanninen +1 more
TL;DR: In this article, an efficient technique for evaluating stress intensity factors is presented, based on the crack closure integral, which can be used with a constant strain finite element stress analysis and a coarse grid.
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