Abstract
An approximate theory to describe transverse flow and lateral spread in sheet rolling is developed using asymptotic methods. The formulation is based on the thin sheet approximation. The approach is relevant for analysing spread in conventional rolling and also for shape rolling. Predictions from the theory are illustrated with a few examples. This includes: (1) a thorough study of lateral effects in conventional rolling, (2) a model of deformed rolls and (3) rib-rolling. The theory shows that the spread formula depends on the front and back tensions. This is a new feature. The dependence on the roll friction is also identified.
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