Examples of controlling the technological stress state characteristics of layer-by-layer manufactured products in the framework of the accreted solid model

A mathematical model of quasi-statics of accreted deformable solids is proposed for the mechanical analysis of technological processes of slow multilayer power winding of a thin sheet onto the outer side surface of a sufficiently rigid circular mould made in advance. By using the analytical dependences obtained in the framework of this model, two problems of different type on the technological control of the characteristics of the formed product stress state developing during the winding process are formulated and analytically solved. In these problems, setting appropriate programs for changing in course of this process the thickness of the wound sheet and the tension force applied to it is used as the controlling impact.