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STATISTICAL FEATURES OF FIBRE FRICTION IN A ONE-DIMENSIONAL FIBROUS PRODUCT

The article considers a model of plastic deformation for one-dimensional fibrous products based on the ideas of the forces of adhesion and dry friction between the fibres on the surfaces of the areas where the fibres touch in the product. It is proposed to take into account in this model the statistical nature of such factors as the magnitude and direction of the normal pressure forces, the magnitude of the coefficient of friction, the direction of the contact surfaces in the product. The gamma distribution is chosen as the model distribution. The statistical modelling method shows that taking into account the statistical nature of the listed factors leads to a fundamentally new relationship between the rate of plastic deformation and the mechanical stress of forces arising in the product under the action of an external elongating load – the dependence is similar to those acting for viscous materials with Newton's law of viscous friction.