Request PDF on ResearchGate | A Plastic-Damage Model for Concrete | In behavior is represented using the Lubliner damage-plasticity model included in. behavior of concrete using various proposed models. As the softening zone is known plastic-damage model originally proposed by Lubliner et al. and later on. Lubliner, J., Oliver, J., Oller, S. and Oñate, E. () A Plastic-Damage Model for Concrete. International Journal of Solids and Structures, 25,

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The total strain tensor is decomposed into an elastic part and plastic part: Schematization of typical stress-strain curves of concrete in uniaxial a tension and b compression tests.

Behavior of concrctc under biaxial stresses. Not so much attention has been paid to the corresponding compressive problem.

The form taken by tho proposed yitld surface on ditrcrcnt planes of the stress space is shown in Fig. Considering that an added compliance tensor is induced by the microcrack propagation, the fourth-order compliance tensor is decomposed as follows [ 23 plasticc-damage The first example presented is the application of the model to the well known biaxial compressor test of Kupfer et al.

Triuxial stress plastic-damafe relationship for concrete. The singular points of the yield surfaccarc the following: This assumption is in line with many published papers. On the creep rupture of structures. Because the associative flow rule is adopted in the present model, the plastic yield function is also used as the plastic potential to obtain the plastic strain. Desmorat, Engineering Damage Mechanics: Determination of Specific Functions For Concrete Specific functions for concrete are proposed based on the general framework of the coupled plastic damage model given in the previous section.


The constitutive formulations are developed by considering an added flexibility due to microcrack growth. Effect of the parameters on the model response in tension: Open Journal of Civil EngineeringVol.

A Coupled Plastic Damage Model for Concrete considering the Effect of Damage on Plastic Flow

Even if several types of expressions for the plastic yield function written in terms of the effective stress have been successfully applied to model some of the typical nonlinearities of concrete such as the volumetric dilation and strength increase under multidimensional compressionmosel cannot be directly used in the true stress space.

In its most general form, the MPD axiom may bc expressed as follows. View at Google Scholar J.

Finally, the proposed model is applied to plain concrete. Howcvcr, unlike the usual plasticity models with isotropic hardcniny, c is not nocsssarily taken simply as: In problems involving tensile cracking.


According to the second principle of thermodynamics, any arbitrary irreversible process satisfies the Clausius-Duhem inequality as. Some of these limitations could bo avoided if a single constitutivc model could be used that governs the non-linear behnvior of concrete. In the special case of uniaxial loadings or combined tension-compression loadingthe reduction factors can be expressed as.

Substituting 44 into 6the relation between the second-order damage tensor and the compliance tensor of the damaged material can be given by By solving 45the reduction factor can be obtained. The simultaneous satisfaction of inequalities 33 and 34 requires that C,g be proportional to or, with no loss of generality, equal to CIf: The effective damage tensor is given by.


Because damage mechanics can be used to describe the progressive weakening of solids due to the development of microcracks, and because plasticity theories have been successfully applied to the modeling of slip-type processes, several plastic damage models of concrete have been developed through combining damage mechanics and plasticity theories [ 5 — 13 ].

The xcuracy of the model is checked with some examplss of application. Click here to sign up.

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Excellent agreement of numerical results for the u t: Comparison between the experimental data and the numerical simulations shows that the proposed model is able to represent the main features of mechanical plaatic-damage observed in concrete material under uniaxial, biaxial, and cyclic loadings. A plastic-damage model for concrete to Experimental bond Fig.

The effects of the model parameters, and on the stress-strain response, the stress-plastic strain response, and the damage evolution under uniaxial tension are shown in Figure 3. Plastic-daamage numcricttl analysis was performed using eight-noded two dintensionul linite elements.