Multifractal diagram

Figure 8.15 Multifractal diagrams f-a for the solid-phase HDPE (1) its melt (2) and HDPE/EP nanocomposite with epoxy polymer content 3 mass percentage at...

As one can see, this diagram is multifractal for < 4.4 A and monofractal for d > 4.4 A. According to the data of paper [39] the probability of detection in HDPE microvoids with > 4.4 A can be estimated as being equal to 0.18. This means that the exclusion from gas transport processes of 18% (by volume) of free volume of the largest microvoids results in twice the reduction of permeability to gas coefficient. It was indicated above that the HDPE/EP nanocomposite with c p 3 mass percentage has melt viscosity about three times smaller than the initial HDPE melt viscosity, i.e.. 

Therefore, the quantitative analysis fulfilled above has confirmed that reduction in the permeability to gas coefficient for HDPE/EP nanocomposites is due to filling by epoxy polymer the largest free volume microvoids that excludes them from the gas transport process. The multifractal treatment of this effect is offered and the combined diagram in coordinates f-a is constructed, which is multifractal for < 4.4 A and monofractal for d, > 4.4 A. 

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