Comparative study of two elasto-plastic work-hardening spatial models for concrete

¹ Building Research Institute (ITB), Filtrowa 1, 00-611 Warszawa, Poland
² Ramboll Polska Sp. z o. o., Młynarska 48, 01-171 Warszawa, Poland

^* Corresponding author: p.lewinski@itb.pl

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.