Residual stresses in a metal plate obtained via shot peening: experiment and computer simulation

A method is developed for determining residual stresses in a thin metal plate via shot peening of its surface. The reference configuration of the plate is assumed to be flat with a layer of hardened material of known thickness with a uniform longitudinal initial stress; its value is determined by solving the inverse problem of establishing the equilibrium state of a bent plate. The problem of bending a plate with initial stresses is solved numerically by the finite element method using the model of an isotropic hypoelastic material. As a result of solving the problem, a residual stress field is determined, allowing one to estimate the degree of danger of positive principal stresses that can lead to destruction of the plate material.