Abstract
A simplified theoretical analysis has been used to examine the rolling of a thin viscoelastic strip between rigid rolls. For a material, thin in relation to the nip contact length and having the behaviour of a standard linear solid, rolling regimes of practical interest are defined in terms of a parameter τV, where τ is the relaxation time of the material and V is the rolling speed. Simple pressure distributions are derived for each rolling regime. These were interpreted on the basis of the forward skewing of the pressure distribution (the shift of the peak nip pressure to a point between the ingoing contact point and the mid-nip), to establish the conditions for importance of viscoelastic effects. Practical criteria, expressed in terms of τV and length dimensions associated with the nip contact zone, were established to determine when the effect of viscoelasticity was negligible, when it was small, and when it passed through a maximum.
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