{"id":2792,"date":"2019-12-04T14:56:50","date_gmt":"2019-12-04T11:56:50","guid":{"rendered":"http:\/\/polymerjournal.kiev.ua\/en\/?page_id=2792"},"modified":"2019-12-04T14:56:50","modified_gmt":"2019-12-04T11:56:50","slug":"2019-4-6","status":"publish","type":"page","link":"http:\/\/polymerjournal.kiev.ua\/en\/2019-4-6\/","title":{"rendered":"2019 (4) 6"},"content":{"rendered":"<p><strong>Effect of critical filler content on structural and fractal percolation properties of filled vinyl polymers<\/strong><\/p>\n<p><strong>\u00a0<\/strong><\/p>\n<p><strong><em>T.M. Shevchuk1, M.A. Bordyuk2, V.V. Krivtsov1, V.A. Mashchenko3<\/em><\/strong><\/p>\n<p><strong>\u00a0<\/strong><\/p>\n<p>1Rivne State Humanitarian University<\/p>\n<p>31, Plastova Str., Rivne, 33028, Ukraine<\/p>\n<p>2Rivne Medical Academy<\/p>\n<p>53, \u041c. Karnaukhova Str., Rivne, 33000, Ukraine<\/p>\n<p>3Odessa State Academy of Technical Regulation and Quality<\/p>\n<p>15, Kovalska Str., Odessa, 65020, Ukraine<\/p>\n<p>&nbsp;<\/p>\n<p>Polym. J., 2019, 41, no. 4: 264-270.<\/p>\n<p>&nbsp;<\/p>\n<p>Section: Physics of polymers.<\/p>\n<p>&nbsp;<\/p>\n<p>Language: Ukrainian.<\/p>\n<p>&nbsp;<\/p>\n<p>Abstract:<\/p>\n<p style=\"padding-left: 150px;\"><em>In the research fractal dimension structure formation and critical percolation indexes have been defined for filled linear amorphous vinyl polymers with the critical content of mineral filler. To define structural properties of composite polymer materials and their viscoelastic properties ultrasonic methods have been used operating machine where longitudinal and transverse ultrasonic waves go through the polymer sample immersed in fluid. On the basis of model-filled polymer and the cluster model of amorphous state, microparameters structural organization are estimated in particular: the period macrolattice filler, sizes of the boundary layer, the volume and diameter of the clusters, the fractal dimension of the filler surface and microcavities fluctuation of free volume. It has been shown that the structural parameters of filled polymers are nanoscale and structural organization consists of nano-objects. PVC- and PVB-systems with critical content of the filler could be modified as quasi-homogeneous crystal, between particles of which phase \u2013 boundary is situated. In the following model interaction between filler particles happens due to polymer structural formations in the form of nanoformations, having in turns areas of order and chaos. Fractal percolation approach in structure formation investigation of PVC and PVB-systems with critical content of the filler showed that metal fillers are more active at phase \u2013 boundary formation in the disbursement of polymer-filler, if to compare with mineral fillers. It has been shown that phosphogypsum modified surface fractions are active centers of interface layer formations on boundary polymer \u2013 filler. Comparing maximums of filled with phosphogypsum and its modified forms percolation clusters and PVC systems coordinate numbers enabled to correlate these dimensions.<\/em><\/p>\n<p><em>\u00a0<\/em><\/p>\n<p><strong>Keywords:<\/strong> filled polymers, fractal dimension, Poisson\u2019s ratio, percolation cluster model, flexibility of macromolecules.<\/p>\n<p><strong>References<\/strong><\/p>\n<ol>\n<li>Broitman E. 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Karnaukhova Str., Rivne, 33000, Ukraine 3Odessa State Academy of Technical Regulation and Quality 15, Kovalska [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"acf":[],"_links":{"self":[{"href":"http:\/\/polymerjournal.kiev.ua\/en\/wp-json\/wp\/v2\/pages\/2792"}],"collection":[{"href":"http:\/\/polymerjournal.kiev.ua\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/polymerjournal.kiev.ua\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/polymerjournal.kiev.ua\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/polymerjournal.kiev.ua\/en\/wp-json\/wp\/v2\/comments?post=2792"}],"version-history":[{"count":1,"href":"http:\/\/polymerjournal.kiev.ua\/en\/wp-json\/wp\/v2\/pages\/2792\/revisions"}],"predecessor-version":[{"id":2793,"href":"http:\/\/polymerjournal.kiev.ua\/en\/wp-json\/wp\/v2\/pages\/2792\/revisions\/2793"}],"wp:attachment":[{"href":"http:\/\/polymerjournal.kiev.ua\/en\/wp-json\/wp\/v2\/media?parent=2792"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}