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 OƱate, E. () A Plastic-Damage Model for Concrete. International Journal of Solids and Structures, 25,

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These features have to be considered in constitutive models of concrete materials. This spurious effect can be eliminated by using reduced integration and other numerical techniques Crook and Hinton, According to the second principle of thermodynamics, any arbitrary irreversible process satisfies the Clausius-Duhem inequality as Substituting the time derivative of the thermodynamic potential into the inequality yields Because the inequality must hold for any value of,andthe constitutive equality can be obtained as follows: Now, gco is mesh-independent and is therefore a material property.

Comparison between the experimental data and the numerical simulations shows that the proposed model is able to represent the main features of mechanical performances observed in concrete material under uniaxial, biaxial, and cyclic loadings.

The specific reduction factor is defined as the sum of the principal values of a second-order damage tensor, which is deduced from the compliance tensor of the damaged material. The practical significance of our results is that plasticity theory is a rather simple model in comparison with models based on fracture mechanics or the more sophisticated versions of continuum damage mechanics.

Normality rules in large-deformation plasticity. The model with different percentages of corrosion and with varying load conditions was also generated.


The expression for the increments of the plastic strain can be obtained by substituting 27b into IO b was controlled using a spherical path technique Crisfieid, I.

In this algorithm, the damage and plastic corrector is along the normal at the elastic trial point, which avoids considering the intersection between the predicting increments of elastic stress and the damage surfaces. Numerical Examples and Discussion of Results In this section, the procedure for the determination of the model parameters is first presented. The first example presented is the application of the model to the well known biaxial compressor test of Kupfer et al. Revisiting the J-Curve for Japan.

MLchanics of distributed cracking. The mechanical behavior of concrete is unique, due to the influence of micromechanisms involved in the nucleation and growth of microcracks and plastic flow.

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Substituting 44 into 6the relation between the second-order damage tensor and the compliance tensor of the damaged material can be given by. Suidan and Schnobrich This demonstrates the coupling between damage and plasticity, as well as the capability of the model in reproducing mechanical features of concrete.

Schematization of comcrete stress-strain curves of concrete in uniaxial a tension and b compression tests. The simultaneous satisfaction of plastic-dakage 33 and 34 requires that C,g be proportional to or, with no loss of generality, equal to CIf: View at Google Scholar I.

Considering that an added compliance tensor is induced by the microcrack propagation, the fourth-order compliance cooncrete is decomposed as follows [ 23 ]: The two parameters and characterizing the failure surface and the plastic hardening parameter can be determined by fitting both curves of stress-strain and stress-plastic strain obtained in the uniaxial tension test. On the creep rupture of structures.


The assumption of small strains will be adopted in this work. The paramrtcr 7 appears only in triaxial compression. Finally, the plasitc-damage model is applied to plain concrete. Behavior of concrctc under biaxial stresses.

The numerical algorithm of the proposed constitutive model is implemented in a finite element code.


According to 22a specific expression of the plastic energy should be given to obtain the plastic hardening functions. By introducing such a reduction factor, the widely used plastic yield functions, such as those applied by Lee and Plastic-danage [ 7 ], Wu et al.

Bcinnt and Cedolin Department of Structural Engineering. The elastic predictor-damage and plastic corrector integrating algorithm proposed by Crisfield [ 28 ] and then used by Nguyen and Houlsby [ 10 ] is used here for calculating the coupled plastic damage model.

Desmorat, Engineering Damage Mechanics: Some of these models, developed by the use of two damage scalars and damage energy release rate-based damage criteria, show excellent performance in reproducing the typical nonlinear behavior of concrete materials under different monotonic and cyclic load conditions.

Material models for granular soils. From eqn f6 we obtain. The thermodynamic forces conjugated to the corresponding damage variables are given by where the terms and are the derivatives of the stiffness tensor of the damaged material with respect to the damage oubliner andrespectively. View at Google Scholar J.