In the present work, an analytical approach is proposed to estimate the residual stresses induced on the surface of a material treated by water jets. The dynamic response of material to jet impact, assuming elastic behavior of the material, is determined using the Navier's equation. Owing to the axi-symmetry of the jet loading, the equations are transformed into Hankel space using zero and first order Hankel transforms and are solved. Due to the absence of a closed form expression for the Inverse-transform of the solution, suitable engineering approximations are made to solve this problem. The results thus obtained are used to determine the strain field, which in turn is used to determine the zone of plastic deformation. Using von Mises yield criterion and assuming kinematic hardening of the material, the residual stresses on the surface of the material are evaluated. The predicted stresses are compared with the results published in the literature.
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