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 predictions are compared with tests results from reinforced concrete accelerated corrosion specimens. Their mathematical expressions can be logarithmic, power, or exponential functions.
This finding corresponds to the expressions of the proposed damage energy release rate and the plastic yield criterion in which both the damage scalar and the plastic hardening rate are introduced.
A possible form is [ 44 k t7. In these models, the true stress appears in the plastic process, which clearly couples plasticity to damage [ 6101115 — 17 ].
Quadrilateral finite elements under a uniaxial tension, b biaxial tension, c uniaxial compression, and d biaxial compression. As was also said.
Department of Structural Engineering. General Framework of Coupled Plastic Damage Model The model presented in this work is thermodynamically consistent and is developed using internal variables to represent the material damage state.
The model contains 12 parameters, which can be obtained by fitting both curves of the stress-strain and the stress-plastic strain in the uniaxial tension and compression tests. The total strain tensor is decomposed into an elastic part and plastic part: To illustrate the effects of the model parameters, and on the behavior of the proposed model, the stress-strain curve, the stress-plastic strain curve, and the damage evolution under uniaxial compression are plotted in Figure 4 in which the results obtained from varying each parameter while keeping the others fixed are also presented.
Equation 28 leads to the operator C, given by Thus Ck is symmetric if and only if k is proportional or equal.
Comparison of the model predictions with the experimental results under biaxial compression: Now, gco is mesh-independent and is therefore a material property. As it moxel be seen in the figure. Considering that an added compliance tensor is induced by the microcrack propagation, the fourth-order compliance tensor is decomposed as follows [ 23 ]: The plastic tensile and compressive hardening functions of the damaged material are then specified as It can be observed from 33 and 41 that the damage variables are introduced into the plastic yield function.
It is not unreasonable to extend this rule to ali cases corresponding to compression meridians-that is. In this case, considering and in the damage criterion and the plastic yield function, the initial damage thresholds and can be determined as plsstic-damage The yield function determines under what conditions the concrete begins to yield and how the yielding of the material evolves as the irreversible deformation accumulates [ 26 ].
A fro model for concrete to Experimental bond Fig.
The aim of the analytical investigation was to reveal the mechanism for the development of concrete cracking due to corrosion of reinforcement. The plastic degradation variables 4, are those associated with plastic deformation.
A PLASTIC-DAMAGE MODEL FOR CONCRETE | ec pf –
It is assumed that damage can be represented effectively in the material compliance tensor. The numerical algorithm of the proposed constitutive model is implemented in a finite element code. It is an essential feature of this model that the same function F a. Help Center Find new research papers in: Desmorat, Engineering Damage Mechanics: Substituting 44 into 6the relation between the second-order damage tensor and the compliance tensor of the damaged material can be given by.
The first example presented is the application of the model to the well known biaxial compressor test of Kupfer et al. Normality rules in large-deformation plasticity.
A Coupled Plastic Damage Model for Concrete considering the Effect of Damage on Plastic Flow
The plasticity part is based on the true stress using a yield function with two hardening variables, one for the tensile loading history and the other for the compressive loading history. In the present work, a coupled plastic damage model is formulated in the framework of thermodynamics.
A distinction bctwccn the degradation jodel used hcrc and the damage varinblcs that i: View at Google Scholar V.