The present work aims at engineers and scientists in the field of computational mechanics of materials. The objective of this work is to develop a suitable constitutive law and apply it to study effects of cyclic loading and geometry on the fatigue assessment. Firstly, a systematical investigation on the mechanic behaviors of an austenitic stainless steel is carried out. Different multiaxial fatigue life prediction models are studied to assess fatigue damage. The Karim-Ohno kinematic hardening model is extended to incorporate more complex mechanical behaviors. The proposed constitutive model is implemented into FEM code ABAQUS. Finally a computational fatigue analysis methodology is proposed for performing life prediction of notched components based on elastic-plastic computation.