Topological search of the crack pattern from a continuum mechanical computation

Bottoni, Marina; Dufour, Frédéric; Giry, Cédric

doi:10.1016/j.engstruct.2015.05.005

Cited by 11 publications

(12 citation statements)

References 37 publications

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“…In this work, two post-treatment methods have been considered. The first method combines a topological search method used to locate cracks developed by (Bottoni et al 2015) and a continuous/discontinuous approach used to compute the crack opening initially proposed by (Dufour et al 2008). It consists in comparing the computed strain fields, with the analytical one derived from the displacement profile described as a strong discontinuity.…”

Section: Modeling Strategies Of Cracking In Quasi-brittle Mediamentioning

confidence: 99%

Characterization of cracks of damaged concrete structures in dynamics

Akiki¹,

Giry²,

Gatuingt³

2018

Computational Modelling of Concrete Structures

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The analysis and prediction of the degradation process and cracking of concrete structures with numerical models is an important issue in the field of civil engineering. In order to describe the global behavior of a structure composed of quasi-brittle material as well as local fields, a continuous approach using nonlinear constitutive law (e.g. damage, plasticity,. . .) remains the most efficient one regarding the computational time. However, one has to consider additional tools to extract discrete information about cracks like spacing and openings from these computations. The objective of this research is to propose tools capable of extracting local information such as cracking using two post-treatment methods of a global finite element analysis. These methods are applied to a dynamic one-point bend test case and results show the capability of both methods to give a good estimation of crack path and openings.

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Section: Modeling Strategies Of Cracking In Quasi-brittle Mediamentioning

confidence: 99%

Characterization of cracks of damaged concrete structures in dynamics

Akiki¹,

Giry²,

Gatuingt³

2018

Computational Modelling of Concrete Structures

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“…In this contribution, the SBNL damage model applied to the Mazars criterion is chosen. The next step is to assess the crack path either by using for instance a topological search or the global tracking algorithm . Once the crack path is found, the COD can be computed along the discretized crack surface by using a strong discontinuity method in the post‐processing phase .…”

Section: Semi‐discrete Approachmentioning

confidence: 99%

“…They are briefly presented in this section. More details can be found in Refs for the topological search and in Ref. for the global tracking algorithm.…”

Section: Semi‐discrete Approachmentioning

confidence: 99%

“…Those models are able to predict the initiation and the propagation of the cracking and account for size effects. Furthermore, if needed, crack properties (path and opening) can be estimated in a post‐processing phase with a good agreement compared with experimental results . Consequently, continuous damage models are preferred in this contribution.…”

Section: Introductionmentioning

confidence: 97%

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An original semi‐discrete approach to assess gas conductivity of concrete structures

Dandachy

Briffaut

Dufour

et al. 2016

Num Anal Meth Geomechanics

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Summary For civil engineering structures with a tightness role, structural permeability is a key issue. In this context, this paper presents a new proposition of a numerical modelling of leakage rate through a cracked concrete structure undergoing mode I cracking. The mechanical state of the material, considered in the framework of continuum mechanics based on finite element modelling, is described by means of the stress‐based nonlocal damage model which takes into account the stress state and provides realistic local mechanical fields. A semi‐discrete method based on the strong discontinuity approach to estimate crack opening is then considered in the post‐treatment phase. Using a Poiseuille's like relation, the coupling between the mechanical state of the material and its dry gas conductivity is performed. For validation purposes, an original experimental campaign is conducted on a dry concrete disc loaded in a splitting setup. During the loading, gas conductivity and digital image correlation analysis are performed. The comparison with the 3D experimental mechanical global response highlights the performance of the mechanical model. The comparison between crack openings measured by digital image correlation and estimated by the strong discontinuity method shows a good agreement. Finally, the results of the semi‐discrete approach coupled with the gas conductivity compared with experimental data show a good estimation of the structural conductivity. Consequently, if the mechanical problem is well modelled at the global scale, then the proposed approach provides good estimation of gas conductivity. Copyright © 2016 John Wiley & Sons, Ltd.

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“…This might lead to considerable computational memory and time cost when dealing with large concrete structural volumes. One can also notice the constant bridging with fracture mechanics even though the continuum media are used: Local damage models are usually regularized using the Hillerborg energy‐based approach, and the equivalent crack openings and paths are postprocessed using adapted algorithms to overcome the incompatibility between the crack's discrete nature and the used continuous approach. On that issue, the dissipated energy in a continuum domain is supposed to fully contribute to crack propagation and is, consequently, converted into an equivalent crack length .…”

Section: Introductionmentioning

confidence: 99%

New continuous strain‐based description of concrete's damage‐permeability coupling

Bouhjiti

Dandachy

Dufour

et al. 2018

Num Anal Meth Geomechanics

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Summary This contribution aims at improving the finite element modelling of concrete's damage‐permeability coupling using continuous and elastic‐based damage approaches. With this aim in view, a review of existing local and nonlocal damage formulations is performed showing how they differ in terms of damage estimation, crack propagation, and spatial discretization restrictions (when the energy‐based Hillerborg criterion is applied). Another critical review of damage‐based permeability laws is achieved to pinpoint their limitations. Indeed, the use of a bounded and strictly increasing damage variable does not allow (1) an accurate description of permeability in the presence of macrocracks that are physically unbounded and (2) a proper description of the permeability decrease as those macrocracks are closed. Accordingly, a new strain‐based permeability law is suggested. Its analytical validation is based on the BIPEDE tensile test for one loading‐unloading cycle. This new formulation intends to enhance the predictiveness of damage‐permeability coupling models leading to a better assessment of large structure's durability and serviceability.

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Topological search of the crack pattern from a continuum mechanical computation

Cited by 11 publications

References 37 publications

Characterization of cracks of damaged concrete structures in dynamics

Characterization of cracks of damaged concrete structures in dynamics

An original semi‐discrete approach to assess gas conductivity of concrete structures

New continuous strain‐based description of concrete's damage‐permeability coupling

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