Physical and mathematical modelling of the phenomenon of fur knitting compression

While analysing the dependencies between the compression-ability parameter S (the squeezing parameter) and parameters describing fur knittings, i.e. the initial free thickness g(0) of its pile and the area mass G of the knitting, we have not stated the existence of simple functional relations. This was why we made an attempt to determine the theoretical dependencies between the mechanical and the structural parameters of the fur knittings for the physical model of the fibres' pile which we elaborated and accepted. For the function elaborated, S = S-1 (G(2)/g(0)(4))(-a), we obtained a correlation coefficient R of 0.80 by approximating the experimental results.