Reckoning Residual Stress Steady-State Distributions in a Solid Made by Additive Manufacturing of a Viscoelastic Aging Material Under the Simultaneous Influence of Mass Inertia Forces

Significant process stresses may emerge in a solid while it is successively replenished with layers of additional material. This study investigates a technological problem on additive manufacturing a hollow cylindrical product of arbitrary thickness by applying a viscoelastic material with properties changing over time onto a rotating substrate from the inside of the latter. During the production process, the rotation speed may change, and initial stresses may occur in the added material. In mathematical modeling of the considered process, a non-classical quasi-static model of continuum mechanics describing continuous surface growth of a deformable solid is used. Based on this model, a method is developed for reckoning the steady-state residual process stress distributions in the manufactured product after disappearance of the deforming inertia action. The results obtained allow not only to predict, but also to purposefully form the stress state of additively manufactured products by selecting appropriate programs for technological parameters changing.