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Received August 23, 2023
Accepted August 23, 2023
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Dynamic-mechanical behavior of polyethylenes and ethene/α-olefin-copolymers: Part II. α- and β-relaxation
1School of Semiconductor and Chemical Engineering, Chonbuk National University, 664-14 1-ga Deokjin-dong, Deokjin-gu, Jeonju, Jeonbuk 561-756, Korea 2Polymer Materials, Friedrich-Alexander University Erlangen-N"urnberg, Martensstr. 7, D-91058 Erlangen, Germany
fjstadler@jbnu.ac.kr
Korean Journal of Chemical Engineering, March 2011, 28(3), 954-963(10), 10.1007/s11814-010-0411-4
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Abstract
Several ethylene homopolymers and ethene/α-olefin-copolymers with crystallinities ranging between 85 and 12% were characterized by dynamic-mechanical measurements. The occurring relaxations were correlated to the crystallinity of the polymeric materials and to morphology. The α-relaxation, being attributed to interlamellar shear, was found to be around 60 oC with activation energies of about 120 kJ/mol in samples with more than 42% crystallinity. The β-transition shows a much greater variety among the different samples characterized. Its relaxation temperatures_x000D_
vary between .40 and 10 oC with activation energies between 200 and 400 kJ/mol. The α- and β-relaxation of several quenched samples with crystallinities between 63 and 42% were found to overlap, thus producing bimodal maxima and different activation energies from the Arrhenius plots. A separation of these overlapping relaxations was only possible by measuring the relaxations over a frequency range of more than three orders of magnitude.
Keywords
References
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The interfacial regime is believed to be a rather thin layer on the border between the crystal lamellae and the amorphous regime.
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In other words, the material behaves thermorheologically complex, as several processes with different activation energies overlap each other. Thus, no master curve can be constructed, but instead a discussion about the relaxation time dependent activation energy would have to be conducted [30,33]. However, this complicated method does not have to be conducted, as E'' is a clearly separable peak, whose activation energy can, therefore, be determined with relative ease from the peak temperature.
Determined as the difference quotient.
Piel C, Starck P, Seppala JV, Kaminsky W, J. Polym. Sci. A: Polym. Chem., 44(5), 1600 (2006)
This value was adopted, as it is approximately the mean of the crystallinity of the neighboring samples.
Piel C, Polymerizations of Ethene and Ethene-co-alpha-Olefin: Investigations on Short- and Long-Chain Branching and Structure Property Relationships. Department of Technical and Macromolecular Chemistry, Vol. Ph. D. Hamburg: University of Hamburg (2005)
Piel C, Scharlach K, Kaminsky W, Macromolecular Symposia., 226, 25 (2005)
Hartwig G, Polymer Properties at Room and Cryogenic Temperatures, New Yorkm Plenum Press (1994)
Nitta KH, Tanaka A, Polymer, 42(3), 1219 (2001)
Boyd RH, Polymer., 26, 1123 (1985)
Boyd RH, Polymer., 26, 323 (1985)
Popli R, Glotin M, Mandelkern L, Benson RS, J. Polym. Sci. Part B: Polym. Phys., 22, 407 (1983)
Stadler FJ, Kaschta J, Munstedt H, Polymer, DOI: 10.1016/j.polymer.2005.07.099, 46(23), 10311 (2005)
Liu JP, Zhang FJ, Xie FC, Du BY, Fu Q, He TB, Polymer, 42(12), 5449 (2001)
Stadler FJ, Takahashi T, Yonetake K, e-Polymers., 40 (2009)
Stadler FJ, Takahashi T, Yonetake K, e-Polymers., 41 (2009)
Sirotkin RO, Brooks NW, Polymer, 42(24), 9801 (2001)
Matthews RG, Unwin AP, Ward IM, Capaccio G, Journal of Macromolecular Science-Physics., B38, 123 (1999)
Mandelkern L, The crystalline state, 2nd Ed., Chap. 4. Washington DC, ACS (1993)
Stadler FJ, Muenstedt H, J. Rheol., DOI: 10.1122/ 1.2892039, 52(3), 697 (2008)
Stadler FJ, Piel C, Kaschta J, Rulhoff S, Kaminsky W, Munstedt H, Rheol. Acta, DOI: 10.1007/s00397-005-0042-6, 45(5), 755 (2006)
Stadler FJ, Piel C, Kaminsky W, Munstedt H, Macromolecular Symposia., DOI: 10.1002/masy.200650426, 236, 209 (2006)
Gabriel C, Munstedt H, Rheol. Acta, 41(3), 232 (2002)
Piel C, Stadler FJ, Kaschta J, Rulhoff S, Munstedt H, Kaminsky W, Macromol. Chem. Phys., DOI: 10.1002/macp. 200500321, 207, 26 (2006)
Stadler FJ, Piel C, Klimke K, Kaschta J, Parkinson M, Wilhelmt M, Kaminsky W, Munstedt H, Macromolecules, DOI: 10.1021/ma0514018, 39(4), 1474 (2006)
Graessley WW, Roovers J, Macromolecules., 12, 959 (1979)
Roovers J, Graessley WW, Macromolecules., 14, 766 (1981)
Godehardt R, Rudolph S, Lebek W, Goerlitz S, Adhikari R, Allert E, Giesemann J, Michler GH, J. Macromol. Sci. Phys., B38(5-6), 817 (1999)
Adhikari R, Godehardt R, Lebek W, Frangov S, Michler GH, Radusch H, Calleja FJB, Polym. Adv. Technol., 16(2-3), 256 (2005)
Rojas G, Berda EB, Wagener KB, Polymer, DOI 10.1016/j.polymer.2008.03.029, 49(13-14), 2985 (2008)
Glowinkowski S, Makrocka-Rydzyk M, Wanke S, Jurga S, European Polym. J., 38, 961 (2002)
Mader D, Heinemann J, Walter P, Mulhaupt R, Macromolecules, 33(4), 1254 (2000)
Starck P, Lofgren B, European Polym. J., 38, 97 (2002)
Dechter JJ, Axelson DE, Dekmezian A, Glotin M, Mandelkern L, J. Polym. Sci. Part B: Polym. Phys., 20, 641 (1982)
The interfacial regime is believed to be a rather thin layer on the border between the crystal lamellae and the amorphous regime.
Resch JA, Stadler FJ, Kaschta J, Munstedt H, Macromolecules, DOI: 10.1021/ma9008719, 42(15), 5676 (2009)
Keßner U, Munstedt H, Kaschta J, Stadler FJ, Le Duff CS, Drooghaag X, Macromolecules., In press, DOI: 10.1021/ma100705f (2010)
Chen X, Stadler FJ, Munstedt H, Larson RG, J. Rheol., 54(2), 393 (2010)
KeBner U, Munstedt H, Kaschta J, Stadler FJ, Le Duff CS, Drooghaag X, Macromolecules., DOI: 10.1021/ma100705f, 41(17), 7341 (2010)
Stadler FJ, Nishioka A, Stange J, Koyama K, Munstedt H, Rheol. Acta, DOI: 10.1007/s00397-007-0190-y, 46(7), 1003 (2007)
Stadler FJ, Gabriel C, Munstedt H, Macromol. Chem. Phys., DOI: 10.1002/macp.200700267, 208, 2449 (2007)
In other words, the material behaves thermorheologically complex, as several processes with different activation energies overlap each other. Thus, no master curve can be constructed, but instead a discussion about the relaxation time dependent activation energy would have to be conducted [30,33]. However, this complicated method does not have to be conducted, as E'' is a clearly separable peak, whose activation energy can, therefore, be determined with relative ease from the peak temperature.
Determined as the difference quotient.
Piel C, Starck P, Seppala JV, Kaminsky W, J. Polym. Sci. A: Polym. Chem., 44(5), 1600 (2006)
This value was adopted, as it is approximately the mean of the crystallinity of the neighboring samples.
Piel C, Polymerizations of Ethene and Ethene-co-alpha-Olefin: Investigations on Short- and Long-Chain Branching and Structure Property Relationships. Department of Technical and Macromolecular Chemistry, Vol. Ph. D. Hamburg: University of Hamburg (2005)
Piel C, Scharlach K, Kaminsky W, Macromolecular Symposia., 226, 25 (2005)