Analysis and comparison of theoretical estimates of the material’s cyclic curve

Several formulations found in the literature allow estimation of the cyclic properties of materials based on static tensile test data, particularly for deriving the K′ and n′ parameters of the Ramberg–Osgood equation. This study assessed the consistency between the experimental cyclic stress–strain curves and those reconstructed using K′ and n′ values obtained by combining the various proposed relationships. The comparison was conducted using a dataset of 338 metallic alloys, predominantly iron-based, with additional aluminum and titanium alloys. As a comparison metric, the dimensionless deviation between the experimental and calculated curves was adopted. Statistical analysis of the results identified three combinations of relationships that yielded satisfactory agreement for 90% of the materials examined.