Characteristics theoretical fractal models

The data of Table 4.3 show that at different crosslinking degrees the values of P or can be different essentially even for the same polymen The existing modes of estimation of the critical parameters of P and do not allow their interconnection with structural characteristics and crystallisation conditions of polymers to be elucidated. Therefore in paper [38] theoretical estimation methods of critical parameters as a function of the characteristics of a non-stretched polymer were proposed and the physical essence of the parameters controlling critical values P and X was elucidated. This method is based on the fractal model stated above [34-36]. 

We recommend that future research in this area focus on establishing theoretical and/or empirical relations between the prefactor and exponent in the power law relating K to Pn, and quantitative pore characteristics, such as the mass fractal dimension and Betti numbers. In particular, there is an urgent need for additional experimental studies, in which K is determined over a wide range of Pn on undisturbed samples of natural porous media that are well-characterized in terms of their pore space geometry. Such data are required for model testing. 

Hence, the offered techniques, using the methods of fractal analysis and cluster model of polymers amorphous state structure, allow the theoretical estimation of both deformability and strength of polymers. The side groups influence on these characteristics was considered in detail. It has been shown that the polymer strength is defined by both strength resource and deformability resource. 

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