Multifractal analysis. A new method for the characterization of the morphology of multicomponent polymer systems
Author(s) -
Blacher S.,
Brouers F.,
Fayt R.,
Teyssié P.
Publication year - 1993
Publication title -
journal of polymer science part b: polymer physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.65
H-Index - 145
eISSN - 1099-0488
pISSN - 0887-6266
DOI - 10.1002/polb.1993.090310605
Subject(s) - polybutadiene , polystyrene , multifractal system , polymer , materials science , homogeneity (statistics) , copolymer , polymer chemistry , polymer science , composite material , fractal , mathematics , mathematical analysis , statistics
It has been demonstrated that use of polymeric emulsifiers under usual processing conditions in the melt state is a powerful technique for preparing polymer alloys. Digitized representation of optical micrographs of thin sections of blends of a low‐density polyethylene and polystyrene (20 wt % PE‐80 wt % PS) containing 2 and 5 wt % of two hydrogenated polybutadiene‐polystyrene block copolymers exhibit different degrees of homogeneity as well as different morphological structures which can be studied by a multifractal analysis. We show how these differences are reflected in the f(α) spectrum of singularities which can be obtained by a box counting method in the canonical approximation. We have found a correlation between the f(α) curves and the mechanical properties of the corresponding samples: the samples which area the less multifractals have the best mechanical properties. © 1993 John Wiley & Sons, Inc.
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