2003
DOI: 10.1021/ma021044q
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Entanglement Density at the Interface between Two Immiscible Polymers

Abstract: The variation of entanglement density with interface width at an interface between two polymers is calculated using the relationships between chain packing and entanglement. The chain packing is obtained by the use of self-consistent mean-field techniques to calculate the average chain conformations within the interface region. The interface width is controlled by an assumed value of Flory−Huggins interaction parameter χ between the two polymers. As the value of χ is increased from 0 (completely miscible) to 0… Show more

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Cited by 14 publications
(12 citation statements)
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“…The strength of the interphase depends on the physical entanglement of chains crossing the interface. A minimum of one entanglement is required for good stress transfer, and at least eight may be required to achieve the cohesive strength of theconstituent polymers. The number of entanglements can be estimated by comparing the thickness of the interphase with the radius of gyration R g,e , corresponding to the entanglement molecular weight M e . Taking an average value of 3 nm for R g,e , the number of entanglements across the interphase, estimated as d I / R g,e , is on the order of only 2−4 for polymer pairs with interphase thickness less than 11 nm.…”
Section: Resultsmentioning
confidence: 99%
“…The strength of the interphase depends on the physical entanglement of chains crossing the interface. A minimum of one entanglement is required for good stress transfer, and at least eight may be required to achieve the cohesive strength of theconstituent polymers. The number of entanglements can be estimated by comparing the thickness of the interphase with the radius of gyration R g,e , corresponding to the entanglement molecular weight M e . Taking an average value of 3 nm for R g,e , the number of entanglements across the interphase, estimated as d I / R g,e , is on the order of only 2−4 for polymer pairs with interphase thickness less than 11 nm.…”
Section: Resultsmentioning
confidence: 99%
“…The strength of the interphase depends on physical entanglement of chains crossing the interface. A minimum of one entanglement is required for good stress transfer, and at least eight may be required for maximum strength. The number of entanglements can be estimated by comparing the thickness of the interphase with the radius of gyration R g,e of the entanglement molecular weight M e . Assuming that PETG has roughly the same molecular dimensions as polycarbonate, R g,e = 0.457 with M e = 1500 g mol -1 .…”
Section: Resultsmentioning
confidence: 99%
“…Experimental studies [3] suggested that chain entanglements in the surface vicinity should play a major role in the reinforcement and it can be explained by the presence of trapped entanglements near the interface. Theoretical studies in the past qualitatively suggested that the density of entanglements should decrease in the vicinity of a wall [8,9] because of the average decrease in chain dimensions established earlier by simulation [10,11]. On the experimental side the validity of this assumption was recently questioned for free standing films [7], but direct evidence of this phenomenon near a repulsive wall is still lacking, and it could not be related to mechanical properties.…”
Section: Introductionmentioning
confidence: 99%