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A framework of elastic–plastic damaging model for concrete under multiaxial stress states

Loredana Contrafatto, +1 more
- 01 Dec 2006 - 
- Vol. 22, Iss: 12, pp 2272-2300
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TLDR
In this article, a constitutive model for concrete characterized by a combined plastic-hardening-damage-fracture dissipative criterion developed within the framework of the simple material model is presented.
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This article is published in International Journal of Plasticity.The article was published on 2006-12-01 and is currently open access. It has received 106 citations till now. The article focuses on the topics: Strain hardening exponent & Damage mechanics.

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Citations
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At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola

TL;DR: Gabrio Piola's scientific papers have been underestimated in mathematical physics literature as mentioned in this paper, but a careful reading of them proves that they are original, deep and far-reaching, and even even...
Journal ArticleDOI

Finite element modeling of confined concrete-II : plastic-damage model

TL;DR: In this paper, a modified plastic-damage model was proposed for non-uniformly confined concrete, which includes a damage parameter, a strain-hardening/softening rule and a flow rule, all of which are confinement-dependent.
Posted Content

At the origins and in the vanguard of peri-dynamics, non-local and higher gradient continuum mechanics. An underestimated and still topical contribution of Gabrio Piola

TL;DR: In this paper, the authors show that non-local and higher gradient continuum mechanics was conceived already in Piola's works and explain the reasons of the unfortunate circumstance which caused the erasure of the memory of this aspect of Piola contribution.
Journal ArticleDOI

Three dimensional combined fracture-plastic material model for concrete

TL;DR: In this article, a combined fracture-plastic model for concrete is presented, which combines the fracture model and the crack band approach. And the model can be used to simulate concrete cracking, crushing under high confinement and crack closure due to crushing in other material directions.
Journal ArticleDOI

Analytical continuum mechanics à la Hamilton-Piola least action principle for second gradient continua and capillary fluids

TL;DR: In this article, a Lagrangian action is proved to hold for capillary fluids, i.e. fluids for which the deformation energy has the form suggested, starting from molecular arguments.
References
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Journal ArticleDOI

Nonlocal microplane model with strain-softening yield limits

TL;DR: Chambon et al. as discussed by the authors proposed a non-local generalization of M4 for concrete, in which the yield limits, called stress-strain boundaries, are softening functions of the total strain.
Journal ArticleDOI

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

TL;DR: In this paper, a theoretical model for the description of the static and fatigue behavior of plain concrete under uni-and triaxial loading is proposed, which is based on damage mechanics.
Journal ArticleDOI

Damage in concrete: the unilateral phenomenon

TL;DR: In this article, the damage in a solid result from microscopic movements is included in the power of the internal forces in order to describe the unilateral phenomenon observed in concrete, and a model using two damage quantities is also presented.
Journal ArticleDOI

Craft––a plastic-damage-contact model for concrete. I. Model theory and thermodynamic considerations

TL;DR: In this article, a thermodynamically consistent plastic directional-damage-contact model for concrete is proposed, which uses planes of degradation that can undergo damage and separation but which can regain contact according to a contact state function.
Journal ArticleDOI

The derivative of a tensor-valued function of a tensor

TL;DR: On donne la derivee DF de la fonction a valeur tensorielle d'un tenseur dans le cas general as mentioned in this paper, a.k.a.
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Frequently Asked Questions (13)
Q1. What have the authors contributed in "A framework of elastic-plastic damaging model for concrete under multiaxial stress states" ?

Contrafatto et al. this paper presented a framework of elastic-plastic damaging model for concrete under multiaxial stress states. 

The underlying assumption for the hardening potential (6) is that, after a rather low level of stress, irreversible phenomena such as microcracks occur, causing irreversible strains as well as a decay of the tangent stiffness. 

The generalized elastic domain K is defined in the extended space of stresses, thermodynamic forces and conjugated damage variables. 

The main experimental observation that the model attempts to reproduce is the lack of a clearly defined elastic response except for very small deformations; actually, damage and cracks form and develop from very low values of the load, well before the peak stress is attained. 

That is the dimension of the reference volume to which the model applies is large enough so that the energy flux through its boundaries is due only to the mechanical work of the stresses. 

One major problem in constructing a full triaxial model for concrete is that many experimental observations apply to uniaxial behavior, and indeed a variety of models, empirically founded, exists for the uniaxial response, that are of great utility in the practical analysis of frame members. 

damage affects the elastic moduli for tensile or compressive stress states differently, since a discontinuity is observable in loading unloading stress paths. 

The dual (complementary) potential proposed is the indicator function of a suitable generalized elastic domaindcðsÞ ¼ indKðsÞ KðsÞ ¼ s : gðsÞ 6 0f g ð9Þg(s) being the yield function. 

The necessity of some correction on the experimental data is one reason for the deviation in the numerical simulation of lateral strain from experimental data for high values of the axial strain. 

The values of the damage parameters n2 and kf essentially affect the peak stress, the post-peak region, the amplitude of the area below the r e curve and the unloading modulus as well. 

Da ln a ka(In this kind of loading condition the kinematic damage variables are constantly null, be-cause only the cap g3 is activated, that is no damage develops in hydrostatic compression. 

The choice commonly assumed when a bimodular material model is adopted (Comi and Perego, 2001; Faria et al., 1998) is coupled with an isotropic damage model. 

The simplest choice directly derived by the original Curnier proposal, is to take, as separating interface, the deviatoric plane tr ee 0 in the space of the elastic strain.