A Nonlinear Wound Roll Model Allowing for Large Deformation

A new model is developed for predicting the internal loads in a wound roll. The principal contribution is the ability to account for large deformation. This is important for applications that require tightly packed rolls with large interlayer pressure and web compression. A nonlinear, orthotropic, plane-strain, pseudoelastic constitutive law is used. Arguments are made as to why the “material symmetry condition” does not apply to the wound roll. An efficient numerical solution scheme is developed, and a good correlation is achieved with interlayer pressure measurements available in the literature.