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The authors review the results of complex theoretical studies of the physico-mechanical and rheological properties of high-strength steel-fiber concrete in comparison with non-reinforced fine-grained high-strength concrete made of self-compacting mixtures under short-term and long-term load exposure. Based on the data of extensive experimental studies, methods of Mathematical description of concrete properties depending on the key factors of influence have been selected and developed. A steel fiber concrete with a minimum content of the selected type of fiber is studied, at which the positive effect of fiber reinforcement begins to manifest itself. The theoretical approach of V.M. Bondarenko to the description of creep measures of steel fiber concrete has been developed. The developed methods can be used to calculate structures made of high-strength steel-fiber concrete using the modern diagram method.