A model has been developed by Guechichi et al. and improved by Khabou et al. to predict residual stresses and plastic deformation induced by shot peening in metallic parts. The major controlling factors were taken into account. The effect of thetangential friction between the shot and the treated material, the shot hardness to material hardness ratio, and the angle of impingement were not taken into account. This paper presents an extension of this model by taking into account the effect offriction, the angle of impingement, and the hardness ratio. The material is characterised by using the model of Khabou et al. as extended by Hamdane in the case of triaxial loading. Application on a plate made of Udimet 720 shows a good agreement with the residual stresses obtained by X-ray diffraction analysis. Calculations made using different coefficients of friction and angles of impingement show a good correlation with the experimental data available in the literature.
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