Anisotropic damage model for the multiaxial static and fatigue behaviour of plain concrete

Papa, Enrico; Taliercio, Alberto

doi:10.1016/0013-7944(96)00004-5

Cited by 107 publications

(68 citation statements)

References 21 publications

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“…Papa et al (1996) and Alliche (2004) presented theoretical models for fatigue of plain concrete based on damage mechanics. Matsumoto et al (2008) successfully showed characteristics of cumulative damage of concrete by using Rigid Body Spring Model (RBSM).…”

Section: Simulation Of Rc Members Under High Cycle Repetition Of Loadsmentioning

confidence: 99%

Pseudo-Cracking Approach to Fatigue life Assessment of RC Bridge Decks in Service

Fujiyama

Tang

Maekawa

et al. 2013

ACT

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This paper presents a numerical scheme to estimate a residual fatigue life of damaged RC bridge decks by means of the pseudo-cracking method proposed, which converts crack inspection data into the on-site mechanistic damage of structural concrete. First, crack information, which can be obtained through a simple visual inspection at site, is transformed to equivalent strain fields upon a finite element discretization, and an equivalent damage state is numerically reproduced. Then, the proposed system simulates subsequent responses to assess the residual fatigue life despite the initial cause of the cracks. The methodology proposed in this study was examined by re-producing several inspection processes computationally, and the numbers of traffic load passages at failure is verified without using the past loading history. For engineering verification, the fatigue-loading experiment of RC slabs, which was taken from a bridge subjected to the real traffic loads, are targeted to be simulated by the pseudo-cracking approach. Sensitivity analyses are also conducted to compute the S-N diagram of the damaged slabs in the five deterioration grades specified by the JSCE maintenance code, and the quantitative results are found to approximately match the specified recommendation. This study indicates that the proposed approach is capable of leading crack strain fields of RC slabs to remaining life-span simulation of damaged RC for the case of low intensity and high cycle fatigue actions.

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Section: Simulation Of Rc Members Under High Cycle Repetition Of Loadsmentioning

confidence: 99%

Pseudo-Cracking Approach to Fatigue life Assessment of RC Bridge Decks in Service

Fujiyama

Tang

Maekawa

et al. 2013

ACT

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“…For instance, in concrete-like materials the micro-cracks are mainly orthogonal to the loading direction in tension and parallel to the load in compression. A second order damage tensor is then often considered to be able to represent such an induced anisotropic damage pattern [13,14,38,16,18,19,21,22,23,25,26]. The choice to use of a second order tensor for damage -D of components D i j is made here.…”

Section: Thermodynamics Of Anisotropic Damagementioning

confidence: 99%

Intrinsic dissipation of a modular anisotropic damage model: Application to concrete under impact

Chambart

Desmorat

Gatuingt

2014

Engineering Fracture Mechanics

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Based on the mathematical proof of the positivity of the dissipation due to anisotropic damage, different numerical scheme to compute such a dissipation in concrete structures are proposed. The positivity of intrinsic dissipation for the considered modular anisotropic damage model is first checked in the case of Willam non-proportional loading test, then checked for different impact tests on concrete structures. Both the consequences of the modeling of the strain rate effect in tension (from visco-damage) and of the damage deactivation (micro-cracks closure) for alternated loadings are studied.

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“…A general form for the strain energy coupled with anisotropic damage has been proposed by Ladevèze (Ladevèze, 1983;Lemaitre and Desmorat, 2005), as ρψ ⋆ = a 1 tr (H H Hσ σ σH H Hσ σ σ) + a 2 σ σ σ : σ σ σ + a 3 g(D H )(tr σ σ σ) 2 + a 4 (tr σ σ σ) (Ladevèze, 1983;Ladevèze, 1995;Papa and Taliercio, 1996;Lemaitre and Desmorat, 2005 …”

Section: State Potentialmentioning

confidence: 99%

Nonstandard Thermodynamics Framework for Robust Computations with Induced Anisotropic Damage

Desmorat

Gatuingt

Ragueneau

2009

International Journal of Damage Mechanics

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Many anisotropic damage models have been proposed for different materials, including concrete. The main drawback of the corresponding analyses is that a large number of material parameters is often introduced, leading to identification difficulties but also to model complexity and associated numerical difficulties. It is also sometimes difficult to ensure the continuity of the stresses if the quasi-unilateral effect of microcracks closure and the dissymmetry tension/compression are represented.In order to solve those difficulties, one proposes to write the damage models in a specific non standard thermodynamics framework. The damage states are represented by a symmetric second order tensor and the damage rate is assumed governed by a positive second order tensor having a clear meanning: the absolute or the positive value of the plastic strain rate tensor for ductile materials, the positive part of the total strain tensor in quasi-brittle materials. Such a non standard feature makes the proof of the the positivity of the intrinsic dissipation necessary. This important proof is given in the considered framework for any damage law ensuring (anisotropic) damage increase and for any case, 3D, proportional or non proportional. This extends then to induced anisotropy the isotropic case property of a positive damage rate as a sufficient condition for the thermodynamics second principle to be fulfilled.Altogether with the fact that the thermodynamics potential can be continuously differentiated, the anisotropic damage model for concrete (build in this framework) allows for robust Finite Element implementation. Both space (classical nonlocal with internal length, nonlocal with internal time) and time regularizations (visco-or delay-damage) are used and applied to quasi-static and dynamic cases. Examples on concrete and reinforced concrete structures are given.

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Anisotropic damage model for the multiaxial static and fatigue behaviour of plain concrete

Cited by 107 publications

References 21 publications

Pseudo-Cracking Approach to Fatigue life Assessment of RC Bridge Decks in Service

Pseudo-Cracking Approach to Fatigue life Assessment of RC Bridge Decks in Service

Intrinsic dissipation of a modular anisotropic damage model: Application to concrete under impact

Nonstandard Thermodynamics Framework for Robust Computations with Induced Anisotropic Damage

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