Strong discontinuity embedded approach with standard SOS formulation: Element formulation, energy-based crack-tracking strategy, and validations

Zhang, Yiming; Lackner, Roman; Zeiml, Matthias; Mang, Herbert A.

doi:10.1016/j.cma.2015.02.001

Cited by 153 publications

(80 citation statements)

References 61 publications

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“…26(a) the curves of force P versus applied vertical displacement u, given from the proposed Is-XFEM with k = 0.05, are compared to the experimental results and those reported in the literature [73,75]. As expected, mesh independent responses are obtained for both coarse and fine meshes.…”

Section: Dens-4csupporting

confidence: 49%

“…In particular, only the later two methods are capable of reproducing the negative vertical force observed in the test, even if the applied vertical displacement is positive, corresponding to pulling apart of the fixing frames. To the best knowledge of the authors, only References [74,72,75] reported success in modeling this curious result. In this sense, the s-XFEM (k = 1) exhibits much more severe stress (a) Coarse mesh.…”

Section: Dens-4cmentioning

confidence: 84%

See 1 more Smart Citation

An improved stable XFEM (Is-XFEM) with a novel enrichment function for the computational modeling of cohesive cracks

2015

Computer Methods in Applied Mechanics and Engineering

102

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Section: Dens-4csupporting

confidence: 49%

Section: Dens-4cmentioning

confidence: 84%

An improved stable XFEM (Is-XFEM) with a novel enrichment function for the computational modeling of cohesive cracks

2015

Computer Methods in Applied Mechanics and Engineering

102

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“…For this purpose, the energybased crack-tracking strategy presented in [14] is modified by the authors to be incorporated into the SDA (see [15] for details). For validation purposes, numerical examples of (i) an L-shaped panel and (ii) a pull-out test in isothermal conditions were simulated, showing the applicability of the used model.…”

Section: Simulation Of Crack Propagationmentioning

confidence: 99%

A coupled thermo-hygro-chemo-mechanical model for the simulation of spalling of concrete subjected to fire loading

Zhang

Zeiml

Pichler

et al. 2013

MATEC Web of Conferences

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Abstract. The presented research work contributes to the realistic simulation of the stress state within fireloaded concrete in order to attain insight into the development and occurrence of the critical state right before and during the event of spalling. A coupled thermo-hygro-chemo-mechanical code simulating the stress state as a consequence of both thermo-hygral and thermo-mechanical processes is presented together with an embedded strong-discontinuity model which is capable of capturing and tracking the propagation of a crack evolving in concrete as a quasi-brittle material. Combination of the two mentioned models is currently under way. With the resulting coupled model, it will be possible to take into account all major couplings, allowing to realistically simulate the spalling process.

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“…This choice is justified by the following reasoning. Firstly, tracking algorithms provide numerical solutions that are free of mesh-induced directional bias [45,16,17,46,47,48]. Secondly, the particular tracking algorithm can be effectively combined with constitutive models suitable for quasi-brittle materials, like anisotropic [31,49] or isotropic ones [26].…”

Section: Introductionmentioning

confidence: 99%

“…Up to date approaches using tracking algorithms have focused mostly on cracks nucleating from the boundary of the domain or from pre-existent flaws and propagating in a single orientation (see for instance [46,47,50,51,52,53]). This confines the application of tracking algorithms to a very narrow family of structural problems, in which the origin of cracks is either known prior to the analysis, or it is imposed by including material or geometrical perturbations within the analysed numerical domain.…”

Section: Introductionmentioning

confidence: 99%

Finite element modelling of internal and multiple localized cracks

et al. 2016

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Tracking algorithms constitute an efficient numerical technique for modelling fracture in quasibrittle materials. They succeed in representing localized cracks in the numerical model without mesh-induced directional bias. Currently available tracking algorithms have an important limitation: cracking originates either from the boundary of the discretized domain or from predefined "crack-root" elements and then propagates along one orientation. This paper aims to circumvent this drawback by proposing a novel tracking algorithm that can simulate cracking starting at any point of the mesh and propagating along one or two orientations. This enhancement allows the simulation of structural case-studies experiencing multiple cracking. The proposed approach is validated through the simulation of a benchmark example and an experimentally tested structural frame under in-plane loading. Meshbias independency of the numerical solution, computational cost and predicted collapse mechanisms with and without the tracking algorithm are discussed.

show abstract

Strong discontinuity embedded approach with standard SOS formulation: Element formulation, energy-based crack-tracking strategy, and validations

Cited by 153 publications

References 61 publications

An improved stable XFEM (Is-XFEM) with a novel enrichment function for the computational modeling of cohesive cracks

An improved stable XFEM (Is-XFEM) with a novel enrichment function for the computational modeling of cohesive cracks

A coupled thermo-hygro-chemo-mechanical model for the simulation of spalling of concrete subjected to fire loading

Finite element modelling of internal and multiple localized cracks

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