Fast and robust level set update for 3D non-planar X-FEM crack propagation modelling

Colombo, Daniele; Massin, Patrick

doi:10.1016/j.cma.2011.03.014

Cited by 46 publications

(26 citation statements)

References 23 publications

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“…With the development of numerical methods, many simulation softwares were adopted to analyze the crack coalescence process of brittle rock material, such as the code ''FROCK'' based on displacement discontinuous method (DDM), 2-D (two-dimensional) particle flow code (PFC), 2-D rock failure process analysis (RFPA 2D ), boundary element method (BEM) [8][9][10], cellular automata (CA) [11,12], extended finite element method (X-FEM) [13][14][15], etc.…”

Section: Introductionmentioning

confidence: 99%

Numerical study on failure behavior of brittle rock specimen containing pre-existing combined flaws under different confining pressure

Yang¹,

Xu²,

He³

et al. 2015

Archives of Civil and Mechanical Engineering

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Section: Introductionmentioning

confidence: 99%

Numerical study on failure behavior of brittle rock specimen containing pre-existing combined flaws under different confining pressure

Yang¹,

Xu²,

He³

et al. 2015

Archives of Civil and Mechanical Engineering

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“…The necessary components for the tracking of cracks with the level set method are: (i) the level set functions for each crack, (ii) an update algorithm for these level set functions, (iii) the crack propagation direction, which normally is based on local criteria and the computation of the stress intensity factors and (iv) the crack propagation velocity or crack increment size which is used for the extension of the crack during one step and can be defined according to mechanical laws (e.g. [177,180,181,182]) or explicitly by the user (e.g. [183,184]).…”

Section: Partial-domain Algorithmsmentioning

confidence: 99%

“…(Image from Stolarska et al [178]). partial differential equations [180] or mixed approaches based on both geometrical and differential equation approaches [189,182]. Fries and Baydoun [184] proposed an alternative approach for the crack extension.…”

Section: Partial-domain Algorithmsmentioning

confidence: 99%

Challenges, Tools and Applications of Tracking Algorithms in the Numerical Modelling of Cracks in Concrete and Masonry Structures

Saloustros

Cervera

Pelà

2018

Arch Computat Methods Eng

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The importance of crack propagation in the structural behaviour of concrete and masonry structures has led to the development of a wide range of finite element methods for crack simulation. A common standpoint in many of them is the use of tracking algorithms, which identify and designate the location of cracks within the analysed structure. In this way, the crack modelling techniques, smeared or discrete, are applied only to a restricted part of the discretized domain.This paper presents a review of finite element approaches to cracking focusing on the development and use of tracking algorithms. These are presented in four categories according to the information necessary for the definition and storage of the crack-path. In addition to that, the most utilised criteria for the selection of the crack propagation direction are summarized.The various algorithmic issues involved in the development of a tracking algorithm are discussed through the presentation of a local tracking algorithm based on the smeared crack approach. Challenges such as the modelling of arbitrary and multiple cracks propagating towards more than one direction, as well as multidirectional and intersecting cracking, are detailed. The presented numerical model is applied to the analysis of small-and large-scale masonry and concrete structures under monotonic and cyclic loading.

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“…With the development of numerical methods, many simulation softwares have been adopted to analyze the crack coalescence processes of real rock material, including SAP2000 (Mughieda and Omar 2008), FROCK (Vásárhelyi and Bobet 2000), PFC 2D (Lee and Jeon 2011;, RFPA 2D (Tang 1997;Tang et al 1997), the boundary element method (BEM) (Chen et al 1998;Shen and Stephansson 1993;Shen 1995), cellular automata (CA) (Feng et al 2006;Pan et al 2009), and X-FEM (Colombo and Massin 2011;Grégoire et al 2007;Rozycki et al 2008). Mughieda and Omar (2008) investigated the stress distribution of rock containing two fissures using the finite element code SAP2000.…”

Section: Introductionmentioning

confidence: 99%

An Experimental and Numerical Study on Cracking Behavior of Brittle Sandstone Containing Two Non-coplanar Fissures Under Uniaxial Compression

et al. 2015

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To understand the fracture mechanism in all kinds of rock engineering, it is important to investigate the fracture evolution behavior of pre-fissured rock. In this research, we conducted uniaxial compression experiments to evaluate the influence of ligament angle on the strength, deformability, and fracture coalescence behavior of rectangular prismatic specimens (80 9 160 9 30 mm) of brittle sandstone containing two non-coplanar fissures. The experimental results show that the peak strength of sandstone containing two non-coplanar fissures depends on the ligament angle, but the elastic modulus is not closely related to the ligament angle. With the increase of ligament angle, the peak strength decreased at a ligament angle of 60°, before increasing up to our maximum ligament angle of 120°. Crack initiation, propagation, and coalescence were all observed and characterized from the inner and outer tips of pre-existing non-coplanar fissures using photographic monitoring. Based on the results, the sequence of crack evolution in sandstone containing two non-coplanar fissures was analyzed in detail. In order to fully understand the crack evolution mechanism of brittle sandstone, numerical simulations using PFC 2D were performed for specimens containing two non-coplanar fissures under uniaxial compression. The results are in good agreement with the experimental results. By analyzing the stress field, the crack evolution mechanism in brittle sandstone containing two non-coplanar fissures under uniaxial compression is revealed. These experimental and numerical results are expected to improve the understanding of the unstable fracture mechanism of fissured rock engineering structures.

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Fast and robust level set update for 3D non-planar X-FEM crack propagation modelling

Cited by 46 publications

References 23 publications

Numerical study on failure behavior of brittle rock specimen containing pre-existing combined flaws under different confining pressure

Numerical study on failure behavior of brittle rock specimen containing pre-existing combined flaws under different confining pressure

Challenges, Tools and Applications of Tracking Algorithms in the Numerical Modelling of Cracks in Concrete and Masonry Structures

An Experimental and Numerical Study on Cracking Behavior of Brittle Sandstone Containing Two Non-coplanar Fissures Under Uniaxial Compression

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