Meso scale variable engagement model for single fiber reinforced concrete under uniaxial tension

The crack-bridge behavior of inclined steel fibers in the cementitious composites was researched in the meso-scale to analyze the mechanical behavior of random distribution fiber reinforced concrete which carries the pull out force. The theoretical solution of a single fiber distributed randomly was integrated in the 3D space to describe  the change course of the pull out fiber concrete. The function relation of the pull out force，pull out work value with crack open displacement and fiber inclined angle was presented. Increasing the inclination angle of fiber will depress the crack-bridge force. The theoretical values of the pull out force and pull out work are consistent with the experimental values.