The work deals with the application of fractal geometry methods to solve the problem of analysis of strength of metal materials under low-cycle fatigue loading. Materials with volume-centered and grain-centered crystal lattice, which are subjected to cyclic loading along the zero cycle, are investigated. As a criterion it is proposed to use fractal dimension determined with the help of Hurst indicator. It is reasonable that this characteristic may be used to evaluate the cyclic strength of metallic materials.

Keywords: Fatigue, metal, strength, fractals, Hurst index