The conventional method for evaluation of the fatigue constants uses one set of experimental data from strain-controlled uniaxial fatigue tests. However, these constants do not ensure the compatibility conditions. The new 3D method retains the mathematical and physical relationships between curves considered. This paper presents a way of implementation of the identification procedure and shows results obtained for three types of materials.
 Niesłony, A., El Dsoki, Ch., Kaufmann, H., Krug, P.: New method for evaluation of the Manson-Coffin-Basquin and Ramberg-Osgood equations with respect to compatibility. International Journal of Fatigue, 2008, 30, 1967-77.
 Bäumel, A., Seeger, T.: Material data for cyclic loading, supplement 1, materials science monographs, 61. Amsterdam: Elsevier Science, 1990.
 Ramberg, W., Osgood, WR.: Description of stress-strain curves by three parameters, Technical note no. 902, Washington (DC), National Advisory Committee for Aeronautics, 1943.
 Halama, R., Markopoulos, A., Šofer, M., Poruba, Z., Matušek, P.: Cyclic plastic properties of class C steel emphasizing on ratcheting: testing and modelling, Strojnícky časopis - Journal of Mechanical Engineering, 2015, 65, No. 1, 21-26.
 Šofer, M., Fajkoš, R., Halama, R.: Influence of Induction Hardening on Wear Resistance in Case of Rolling Contact, Strojnícky časopis - Journal of Mechanical Engineering, 2016, 66, No.1, 17-26.