The present work is concerned with the evaluation of the nonlinear behaviour of 316L steel used in several fields, industry, automotive, aeronautics, medicine .... subjected to cyclic movements. This investigation allowed us to analyze the different responses of steel in low cycle fatigue, and to perceive the phenomenon of Ratcheting leading, to the damage of the structure by an excess of plastic strain, under loading cycles. The prediction of the behaviour of the steel studied, reveals that the Ratcheting increases according to the average stress when the stress amplitude is constant, and decreases according to the attenuation of the stress amplitude when the average stress is constant. The simulation campaign allowed us to present an assessment, of the conditions favoring the acceleration of the Ratcheting, includes several scenarios of periodic loadings, with strain and stress imposed under uniaxial tension/compression. The predictions of this model are evaluated by subjected to cyclic loading within the software ZébuLon.