Eigenstrain method in simulations of laser peen forming of curved surfaces

The eigenstrain ansatz allows for the efficient simulation of large-scale applications of Laser Peen Forming (LPF) while being subject to geometric constraints. A setup to investigate the viability of the method for non-uniform curvature is proposed. A small-scale laser processing is simulated on cylinder shells of given curvature. Eigenstrains are determined in representative cells and mapped onto a second cylinder shell with different curvature to simulate a large-scale processing operation. The eigenstrains result in changes in local curvature. This is repeated for four curvatures. The resulting data is used to investigate the dependence of the induced curvature change on the origin geometry of the eigenstrains. A determined regression relation provides insight into the feasibility of the eigenstrain ansatz beyond its constrains.