The pullout response of a short fiber embedded in matrix depends on both the bond between the two materials and on the inclination angle and embedded length of the fiber. Fibers placed and oriented randomly in 3D space bridge matrix cracks with certain inclination angles and embedded lengths. With a pullout law available in analytical form, a statistical description of the force per fiber depending on crack opening can be evaluated for a uniformly loaded crack bridge in a short fiber reinforced composite by integrating the powers of all possible fiber responses multiplied by their probabilities of occurrence. This information is utilized to probabilistically evaluate the crack bridging force by computing the sum of a random number of random contributions; the random number of contributions to be summed is the number of bridging fibers, and the independent random contributions are the single fiber responses. and Obsahuje seznam literatury