Orthotropic damage coupled with localized crack reclosure processing. Part I: Constitutive laws

Sellier, Alain; Casaux-Ginestet, Géraldine; Lacarrière, Laurie; Bourbon, Xavier

doi:10.1016/j.engfracmech.2012.10.012

Cited by 50 publications

(42 citation statements)

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“…A rough crack model has been incorporated into an element with strong discontinuity by Theiner and Hofstetter and applied to some real engineering problems, including the pull‐out of a steel anchor. Sellier et al showed the benefits of smoothing crack opening/closing behaviour in their orthotropic damage model, and this idea of smoothing the contact behaviour is particularly relevant to the work described in the current paper.…”

Section: Introductionmentioning

confidence: 73%

The simulation of crack opening-closing and aggregate interlock behaviour in finite element concrete models

Jefferson

Mihai

2015

Int. J. Numer. Meth. Engng

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The ability to model crack-closure behaviour and aggregate interlock in finite element concrete models is extremely important. Both of these phenomena arise from the same contact mechanisms, and the advantages of modelling them in a unified manner are highlighted. An example illustrating the numerical difficulties that arise when abrupt crack closure is modelled is presented, and the benefits of smoothing this behaviour are discussed. We present a new crack-plane model that uses an effective contact surface derived directly from experimental data and which is described by a signed-distance function in relative-displacement space. The introduction of a crack-closure transition function into the formulation improves its accuracy and enhances its robustness. The characteristic behaviour of the new smoothed crack-plane model is illustrated for a series of relative-displacement paths. We describe a method for incorporating the model into continuum elements using a crack-band approach and address a previously overlooked issue associated with scaling the inelastic shear response of a crack band. A consistent algorithmic tangent and associated stress recovery procedure are derived. Finally, a series of examples are presented, demonstrating that the new model is able to represent a range of cracked concrete behaviour with good accuracy and robustness. Figure 10. Uniaxial opening and closing response.Figure 11. Cracks opened in uniaxial tension and subsequently loaded in shear. EMBEDDED CRACK PLANES IN A THREE-DIMENSIONAL CONSTITUTIVE MODEL Embedded smeared cracksWhen the crack-plane model is applied to continuum elements, cracks are effectively smeared over elements and are represented by directional damage. The term h is no longer employed directly to define the local strains; instead, the crack-band approach of Bazant and Oh [3] is used. This involves scaling the governing fracture softening stress-strain curve, using the fracture energy parameter .G f /, such that the energy consumed in fully opening a mode 1 crack is the same irrespective of the element size. A key assumption in this method is that (numerically) strains localise into a band of elements, one element wide, early enough in the fracture process for the fracture energy consumed outside this band to be negligible. If this assumption is valid, the inelastic fracture strain vector (i.e. the reduced form of the strain tensor) can be related to the inelastic relative-displacement vector . M u/ as follows:The characteristic length is equal to the length of the longest straight line that could be drawn within a finite element normal to the crack plane. This gives a length in between that is computed by 'Oliver's first and second methods', which are described in References [52] and [64].The element local strain vector .Q ©/ is then defined as the sum of the inelastic and elastic strain components:in which ı denotes a third-order-matrix vector contraction. The incremental fracture strains are then given by Equation (35):

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Section: Introductionmentioning

confidence: 73%

The simulation of crack opening-closing and aggregate interlock behaviour in finite element concrete models

Jefferson

Mihai

2015

Int. J. Numer. Meth. Engng

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“…In compression the variable is isotropic and the criterion used is inspired by the Drucker-Prager criterion. In tension, the damage is anisotropic, uses a Rankine criterion and takes account of the possibility of crack closure (Sellier et al, 2013a). The mesh independence of this damage model is Finally for these applications on reinforced concrete structures, an interface model is added to simulate the steel-concrete bond.…”

Section: Mechanical Model For Hardening Concretementioning

confidence: 99%

“…The aim of this paper is to demonstrate the applicability of recent models developed in our laboratory to predict early-age cracking on a real massive reinforced structure (Buffo-Lacarrière, Sellier, Escadeillas, & Turatsinze, 2007Sellier, Casaux-Ginestet, Buffo-Lacarrière, & Bourbon, 2013a, 2013bSellier & Buffo-Lacarrière, 2009). The massive structures cast in the framework of the CEOS project are thus used in this objective.…”

Section: Introductionmentioning

confidence: 98%

Application of thermo-hydro-chemo-mechanical model for early age behaviour of concrete to experimental massive reinforced structures with strain–restraining system

Lacarrière

Sellier

Kolani

2014

European Journal of Environmental and Civil Engineering

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This paper presents the application of a thermo-hydro-chemo-mechanical (THCM) model to the design of actual massive structures with a system to restrain the strain at early age (thermal strains and autogenous shrinkage). The experimental campaign was performed in the French national project CEOS.fr. The modelling of early-age behaviour of reinforced concrete is first based on a hydration model, which is able to reproduce the variations of temperature, water content and mechanical properties according to hydration. Then a non-linear mechanical model is used (combining creep and damage models, both adapted to hardening concrete). The comparison between numerical results (obtained with a calculation time of around 12 h on an ordinary computer) shows that the models are able to reproduce the early-age behaviour of restrained reinforcement concrete structures (in terms of strains, global forces and crack patterns). Using steel-concrete interface elements (adapted to early age), the models are also able to reproduce the influence of reinforcement on cracking. IntroductionThe work presented here was performed in the context of the French national project CEOS (see introductory editorial of this special issue). The study is part of the second key component of the project dealing with the concrete behaviour under thermo-hydrochemo-mechanical (THCM) loads. One of the objectives of this component was to construct some massive structures with strain restraint in order to test and validate the THCM models available in the French scientific community for predicting the early-age cracking of concrete structures. Once validated, these THCM models were used in the last part of the project to perform some numerical parametric studies and a more precise analysis of the effect of the reinforcement on the crack pattern of massive structures at early age.In the international literature, several recent studies have focused on the finite element modelling of this early-age behaviour of massive concrete structures. However, many of them are more concerned with validating a thermal model and propose a purely numerical analysis of mechanical aspects, used to identify some characteristic features of early-age behaviour aspects (Azenha, Faria, & Ferreira, 2011;Lackner & Mang,

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“…The first objective of this contribution is to enhance the efficiency of the model proposed in [28] to achieve structural simulations. A specific attention is paid to phenomena observed under cyclic loading.…”

Section: Continuous Modellingmentioning

confidence: 99%

Identification of Constitutive Relationships for Concrete Using Discrete and Finite Element Framework

Vassaux¹,

Oliver-Leblond²,

Richard³

2016

Proceedings of the 9th International Conference on Fracture Mechanics of Concrete and Concrete Structures

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Considering different scales and phenomena, the models used to describe the cracked behavior of concrete cannot be of the same type. The aim of this contribution is to present different tools, used at their relevant physical scales as well as their mutual enhancement for a global structural approach. Such an issue is greatly emphasized when dealing with cyclic and dynamic loadings, involving complex stress paths. A discrete element model (DEM) is presented, introducing within an implicit framework, local nonlinear mechanisms such as brittle failure, contact, frictional sliding and scale effects can be taken into account. Such a local model will help one, through virtual testing procedures to express constitutive laws allowing for a refine description at the representative volume element (RVE) level of constitutive relationship based on coupled plasticity-damage models. Based on a structural case-study, the relevancy of the full analysis chain is presented.

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Orthotropic damage coupled with localized crack reclosure processing. Part I: Constitutive laws

Cited by 50 publications

References 38 publications

The simulation of crack opening-closing and aggregate interlock behaviour in finite element concrete models

The simulation of crack opening-closing and aggregate interlock behaviour in finite element concrete models

Application of thermo-hydro-chemo-mechanical model for early age behaviour of concrete to experimental massive reinforced structures with strain–restraining system

Identification of Constitutive Relationships for Concrete Using Discrete and Finite Element Framework

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