Mathematical modelling of the process of internal technological stress fields development in cylindrical solids being layer-by-layer made of ageing viscoelastic materials

Abstract

Abstract With the help of current approaches in mechanics of additively manufactured deformable solids, a non-classical mathematical model is developed to predict the stress-strain state of layers being gradually formed on a rotating substrate in an arbitrary number of continuous stages of ageing viscoelastic material application. On the basis of numerous calculations performed, the qualitative and quantitative features of the internal technological stresses distributions in the finished cylindrical product for different variants of its release from the mechanical loading and the kinematic bonds acting during the manufacturing process are analyzed in detail. Previously unknown mechanical effects are found. The appropriate recommendations of a practical nature are given.