Abstract Steel fiber reinforced concrete is a kind of multiphase heterogeneous composite material, therefore its
constitutive relations are very complex and the effects of orientation, length of fibers and bonding behavior of the interface between fibers and matrix on material strength should be considered. Due to the random distribution of steel fibers, it is difficult to measure its orientation; the orientation effective coefficient of steel fibers in 2-dimension was deduced in a perspective of random variable on the basis of a composite mechanical constitutive model. Assuming the distribution of steel fibers obeys the two-dimensional uniform distribution, the distribution function of the angle θ between steel fibers and force direction was calculated using probability theory, and the expectation of cosθ, i.e.orientation effective coefficient, was calculated. The results show that the probability of steel fiber intersecting with section is 1/π within the studied area and theoretically the orientation effective coefficient is 0.25, while the actual
orientation effective coefficient should be slightly smaller than 0.25 due to the boundary effect and gravitation effect.
Abstract：
Steel fiber reinforced concrete is a kind of multiphase heterogeneous composite material, therefore its
constitutive relations are very complex and the effects of orientation, length of fibers and bonding behavior of the interface between fibers and matrix on material strength should be considered. Due to the random distribution of steel fibers, it is difficult to measure its orientation; the orientation effective coefficient of steel fibers in 2-dimension was deduced in a perspective of random variable on the basis of a composite mechanical constitutive model. Assuming the distribution of steel fibers obeys the two-dimensional uniform distribution, the distribution function of the angle θ between steel fibers and force direction was calculated using probability theory, and the expectation of cosθ, i.e.orientation effective coefficient, was calculated. The results show that the probability of steel fiber intersecting with section is 1/π within the studied area and theoretically the orientation effective coefficient is 0.25, while the actual
orientation effective coefficient should be slightly smaller than 0.25 due to the boundary effect and gravitation effect.
Van-Tuan NGUYEN1,
2 LI Guhua2 LIU Tongchao2 WANG Shuhong1
.Study on Orientation Effective Factor of Two-dimensional Steel Fiber Reinforced Concrete Based on the Probability Theory[J] MODERN TUNNELLING TECHNOLOGY, 2019,V56(2): 119-122
2019, Vol. 56 