Stohastic Properties of Plasticity Based Constitutive Law for Concrete

The purpose of this paper is to obtain a stochastic model for the parameters in a constitutive model for concrete based on associated plasticity theory and with emphasis placed on the pre-failure range. The constitutive model is based on a Drucker Prager yield surface augmented by a Rankine cut-off criterion. The statistics of the material parameters are obtained by applying biaxial test results for plane concrete slabs to the constitutive model using the maximum likelihood method. Response surfaces are used to obtain the statistics for a parameter depending on other previously obtained parameters. Finally an illustrative example of a reliability analysis of a plane concrete panel is given.