An inverse solution for winding stresses in wound coils of non-linear orthotropic material

Abstract

Extensive study of stresses induced during and after winding of coils has led to significant improvements to the processing of web-like materials for the packaging industries and consumer goods. The current paper presents an inverse solution for the prediction of the winding tension profile required to satisfy a specified residual stress distribution in the coil, for non-linear material properties (in the radial direction), with allowance for large strain and large deformation in the coil. The inverse solution approach has advantage over the forward solution approach by directly determining the winding tension profile, which can be readily controlled in a processing line, once the desired residual stresses in the coil are known. The current paper, together with several recently published ones, completes the study of stresses in the winding of coils using the inverse solution approach.