Abstract
A concept of elasto-plastic, work-hardening constitutive models for the multiaxial behaviour of concrete under short-term loading and the comparison with test results is presented in this paper. Two failure surfaces are utilized: the criterion of Podgórski and the three-parameter surface of Willam and Warnke. Both triaxial failure criteria have been calibrated in terms of different multiaxial strength tests. A non-associated flow rule has been used. The plastic potential function has been assumed in the form of the Drucker-Prager cone with variation of the angle of the cone side surface. In order to cover the plastic hardening behaviour, the equivalent uniaxial stress-strain curve has been adopted. An incremental stress-strain relationship has been formulated. The results of the numerical analysis performed by a direct integration of the constitutive relationships for the biaxial stress regime have been compared with the test data.
Highlights
Concrete is considered as the most widely used construction material
With regard to the assessment of its mechanical properties, one of the main factors is the knowledge about the strength properties of the material, where the main role is played by the analysis of the structural behaviour in the spatial stress state
The experimental results for brittle materials indicate that the shape of the failure surface depends significantly on the first stress tensor invariant and both on the second and the third invariants of stress tensor
Summary
Concrete is considered as the most widely used construction material. With regard to the assessment of its mechanical properties, one of the main factors is the knowledge about the strength properties of the material, where the main role is played by the analysis of the structural behaviour in the spatial stress state. The elastic-plastic model of concrete with non-linear hardening, based on a non-associated flow rule enables the correct description of the phenomenon of dilatancy, i.e. the increase in the volume of concrete as a result of the formation of microcracks for the compressive stresses close to the failure. To obtain such description of the dilatancy phenomenon, it is necessary to develop the appropriate formulation of the plastic potential function and such a concept is a subject of this paper. The general aim of the paper is to devise the models which are relatively simple and convenient for using in the numerical analysis of concrete structures and are able to serve as a starting point to devise a more sophisticated model, e.g. continuum damage model [19] based on failure criteria for concrete described
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