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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Nguyen and Houlsby [ 10 ] proposed a double scalar damage-plasticity model for concrete based on thermodynamic principles. To couple the damage to the plasticity, the damage parameters are introduced into the plastic yield function by considering a reduction of the plastic hardening rate. The excellent agreement with experiment obtained in the solution of a difficult problem such as that of the notched beam shows that the potential of the present approach is great.
Numerous improvements to these yield criteria have been proposed in recent years: Based on the theoretical development of the model formulation, several conclusions have been summarized as follows. The plastic tensile and compressive hardening functions of concrefe damaged material are then specified as.
To establish the constitutive law, a thermodynamic potential for the damaged elastoplastic material should be introduced as a function of the internal state variables.
Then, several numerical examples are provided to investigate the capability of the proposed model in capturing material behavior in both tension and compression under uniaxial and biaxial loadings.
A possible form is [ 44 k t7. Each model parameter in turn is varied, while the others are kept fixed, to show the corresponding effect on the behavior of the concrete material. The concrrete arelt of success of pklsticity theory with conorctc is the treatment of reinforced concrete see Chcn, for 3 survey of the results und other situations in which the material acts primarily in compression.
Table of Contents Alerts. It is assumed that damage can be represented effectively in the material compliance tensor.
Not so much attention has been paid to the corresponding compressive problem. Department of Structural Engineering. Microcracks in concrete are induced in two modes: The influence of damage on the plastic flow is calculated by considering a reduction of the plastic hardening rate.
Palstic-damage Characterization Irreversible plastic deformation will be formed during the deformation process of concrete. 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. According to Wu et al. The assumption of small strains will be adopted in this work. Let us further assume that the areas under these curves arc finite and equal to. Finally, the rate form of the constitutive equation can be given as.
The total strain tensor is decomposed into an elastic part and plastic part: G, is an assumed material property chosen in such a way that the numericai analysis of a standard compression test gives results that coincide with experimental data, Muffiu. Plastic-dajage, considering the influence of damage on plastic flow, it is difficult to develop a plastic yield function that can be used to describe the plastic deformation and damage growth of concrete simultaneously.
A Coupled Plastic Damage Model for Concrete considering the Effect of Damage on Plastic Flow
Ofiate Part I, pp. Results obtained by different researchers for the same problem have been plotted in Fig. This is an open access article distributed under the Creative Commons Attribution Licensewhich permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Revisiting the J-Curve for Japan.
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I I itrc shown. The lublinre reduction factor is then deduced from the compliance tensor of the damaged material. By solving 45the reduction factor can be obtained.
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View at Google Scholar V. With an associated Row rule, this result gives the following value of the ratio of the transverse to the axial rofrrl strain rates: To comply with the results of the studies [ 79 ], these numerical examples were analyzed using the single quadrilateral finite element shown in Figure 1. Damage evolution law and plastic damage coupling are described using the framework of irreversible thermodynamics. Excellent agreement between the localized cracking band obtained numerically and experimentally is achieved, its can be seen in Fig.
As mentioned before, the damage evolution is coupled with the plastic flow.
In the special case of uniaxial loadings or combined tension-compression loadingthe reduction factors can be expressed as. Description of inelastic deformation and degradation of concrctc. The same result is nob found in triaxiai compression tests, at least at sufficiently large hydrostatic pressures; under these conditions it is found that the hardening goes on indefinitely.
In general, the splitting mode is dominant in tension, whereas the compressive mode is dominant in compression. Compared stress-strain results for double non-symmetric fot. As Figure 5 shows, the numerical results obtained from the model are observed to be in good agreement with the experimental data. Considering that an added compliance tensor is induced by the microcrack propagation, the fourth-order compliance tensor is decomposed as follows [ 23 ]: