Laser Shock peening technology consists of firing a pulsed laser beam with high power density on a metallic surface, introducing plasticity and generating compressive residual stress. The treatment has demonstrated to be very promising in fatigue life enhancement and improving the behaviour for materials in stress corrosion cracking problems. Unfortunately, it still remains a quite expensive treatment if it is compared with similar treatments like shot peening or cold expansion. This is the main reason why a lot of attention is focused on the possibility to simulate the laser peening process through Finite Element Analysis. Besides the direct simulation of the physical process [1], there is another promising approach based on the eigenstrain method [2]. The term eigenstrain indicates any permanent strain arising in the material after any treatment the sample is subjected to [3]. Some previous researches have demonstrated the versatility of eigenstrain in several applications like welding, shot peening and laser shock peening.Since the eigenstrains have demonstrated their independency on geometry and thickness, it is possible to use the principle of transferability of eigenstrain to calculate them from simple geometry sample and subsequently apply them on a more complex geometry through FEM analysis. This study takes into consideration an aluminium AA7050-T7451 sample for fatigue tests and it demonstrates that, under certain limitations, the eigenstrain can predict the residual stress generated by laser shock peening around round edges and curved areas. There is still poor agreement around the surface between the eigenstrain prediction and residual stress measurements carried out with neutron scattering technique and contour method, and this is probably because around the curved edges the laser spot is not perpendicular to the surface so the generated eigenstrain are different. Further measurements under the surface are planned with the synchrotron X-ray diffraction and ESPI technique.