Engineering modelling of contact and deformation processes in roller squeezing modules

This study investigates the contact interaction between bodies with viscous–elastic–plastic properties in a symmetrical roller-squeezing module. The deformation behaviour of the processed material and moisture-permeable elastic roll coatings is described using generalised constitutive relationships that account for elastic, viscous, and plastic effects. Based on these dependencies, a mathematical model of the roll contact zone is developed, enabling an analytical description of compression and recovery sections of the contact curves. Particular attention is given to the ratio of deformation rates of the contacting bodies, which is introduced as a key parameter governing the geometry of the contact region. Expressions are derived to determine the principal parameters that define the contact curve shape under various deformation conditions, including elastic–viscous and plastic–viscous behaviour of the squeezed material. The analysis shows that the contact geometry and pressure distribution are strongly influenced by the initial thicknesses of the contacting layers, the roll radius, and the inter-roll gap, through their effects on deformation-rate ratios. The proposed models provide a theoretical basis for engineering calculations of roller squeezing processes and support the selection of efficient operating parameters and equipment design.

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