A method for calculating the internal stress distribution in a wound roll subjected to a homogeneous temperature change is presented. The nonlinear constitutive behavior apparent in the stack-wise direction of the roll is represented by a function dependent upon pressure that is incrementally updated during the analysis. In addition to the mechanics of the model, procedures for measuring the circumferential and radial coefficients of thermal expansion are described. Particular examples are presented that show, by comparison with experimental data, the model described herein accurately predicts interlayer pressures in a wound pack. In addition, the marked effect of the core expansion coefficient on the stress distribution is shown and this example illustrates the potential for optimizing the selection of core materials such that the effects of environmental changes on roll structure are minimized.

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