Abstract: Mechanical test is one of the main methods to obtain the mechanical properties of rocks and many engineering materials. Given many factors that affect the mechanical properties of some special materials, it is hard to get their mechanical properties only through the test because of high cost and complex process. Steel fiber reinforced concrete (SFRC) as a structural material has been used widely in many major constructions because of its good mechanical performance. However, it is difficult to evaluate the effect of steel fiber distribution on SFRC mechanical behavior with experiment. This paper constructed a model based on randomized method and solved the equation by finite element method, which was called randomized finite element method (RFEM). The results show that the steel fiber distribution has little influence on the pre-yield behavior of SFRC, but has a major impact on the post-yield response. From a change of 1% to 2%, the volume fraction of steel fibers and tensile yield strength of SFRC represents approximately a linear relationship.

Key words: Steel fiber reinforced concrete (SFRC), Randomized finite element method (RFEM), Yield tensile strength