PROBABILITY DENSITY EVOLUTION ANALYSIS OF THE BIAXIAL ENVELOPE MODEL FOR CONCRETE MATERIAL

摘要

Efforts are made in this paper to investigate the probability performance of the biaxial strength envelope for concrete material. Firstly, a constitutive model in 2-D is introduced with the corresponding formulations of biaxial strength envelop for concrete which are developed by the authors' research group. On the other hand, by introducing the energy equivalent strain, the 2-D stochastic damage evolution is established based on the 1-D stochastic damage evolution function, which is developed based on the 1-D stochastic field model. Furthermore, according to the generalized probability density evolution method (PDEM), the probability density function (PDF) of the biaxial strength envelops and their evolution trails are simulated. This paper provides a general procedure to capture the probability information of the stochastic performances of concrete under multiaxial loading condition.