Measurement of high frequency linear viscoelastic functions of a nitrile-butadiene rubber compound by ultrasound spectroscopy
The storage and loss components of the complex wave modulus, M*(ω), measured on a nitrile‐butadiene rubber compound (NBR‐DIN 53538) by ultrasound spectroscopy at a temperature of 293.2 K, were combined with the components of the complex shear modulus, G*(ω), measured on the same sample in a commerci...
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Veröffentlicht in: | Journal of polymer science. Part B, Polymer physics Polymer physics, 2007-01, Vol.45 (1), p.91-102 |
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creator | Alvarez, Guillermo A. Quintero, Miguel W. Eckert-Kastner, Susanne Alshuth, Thomas Reinecke, Helmut |
description | The storage and loss components of the complex wave modulus, M*(ω), measured on a nitrile‐butadiene rubber compound (NBR‐DIN 53538) by ultrasound spectroscopy at a temperature of 293.2 K, were combined with the components of the complex shear modulus, G*(ω), measured on the same sample in a commercial Rheometric Scientific ARES instrument with torsion geometry at different frequencies and temperatures, and superposed in a master plot using the time–temperature superposition principle. From the combined measurements the components of the complex bulk modulus, K*(ω), were obtained by means of the exact formula M*(ω) = K*(ω) + (4/3)G*(ω). Some of the features of the complex bulk modulus reported in the literature for polymeric materials are confirmed for the NBR‐DIN mixture. The maxima in G″(ω) and K″(ω) are separated by more than one order of magnitude in the frequency scale and furthermore, the shapes of the peaks are different. The simple idea, that, for many polymers, the mechanisms for relaxation in shear and in bulk are of the same basic nature appears not to be supported by the present data. © 2006 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 45: 91–102, 2007 |
doi_str_mv | 10.1002/polb.20996 |
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From the combined measurements the components of the complex bulk modulus, K*(ω), were obtained by means of the exact formula M*(ω) = K*(ω) + (4/3)G*(ω). Some of the features of the complex bulk modulus reported in the literature for polymeric materials are confirmed for the NBR‐DIN mixture. The maxima in G″(ω) and K″(ω) are separated by more than one order of magnitude in the frequency scale and furthermore, the shapes of the peaks are different. The simple idea, that, for many polymers, the mechanisms for relaxation in shear and in bulk are of the same basic nature appears not to be supported by the present data. © 2006 Wiley Periodicals, Inc. 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Part B, Polymer physics</title><addtitle>J. Polym. Sci. B Polym. Phys</addtitle><description>The storage and loss components of the complex wave modulus, M*(ω), measured on a nitrile‐butadiene rubber compound (NBR‐DIN 53538) by ultrasound spectroscopy at a temperature of 293.2 K, were combined with the components of the complex shear modulus, G*(ω), measured on the same sample in a commercial Rheometric Scientific ARES instrument with torsion geometry at different frequencies and temperatures, and superposed in a master plot using the time–temperature superposition principle. From the combined measurements the components of the complex bulk modulus, K*(ω), were obtained by means of the exact formula M*(ω) = K*(ω) + (4/3)G*(ω). Some of the features of the complex bulk modulus reported in the literature for polymeric materials are confirmed for the NBR‐DIN mixture. The maxima in G″(ω) and K″(ω) are separated by more than one order of magnitude in the frequency scale and furthermore, the shapes of the peaks are different. The simple idea, that, for many polymers, the mechanisms for relaxation in shear and in bulk are of the same basic nature appears not to be supported by the present data. © 2006 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 45: 91–102, 2007</description><subject>Applied sciences</subject><subject>complex bulk modulus</subject><subject>Exact sciences and technology</subject><subject>glass transition</subject><subject>linear viscoelastic functions</subject><subject>nitrile-butadiene rubber compound</subject><subject>Organic polymers</subject><subject>Physicochemistry of polymers</subject><subject>Properties and characterization</subject><subject>Rheology and viscoelasticity</subject><subject>time-temperature superposition</subject><subject>ultrasound spectroscopy</subject><issn>0887-6266</issn><issn>1099-0488</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><recordid>eNp9kMFvFCEUxonRxHX14l_ARQ8m08KwMMxRm7ptsrXGaHokwDwsysIIM-oc_N9lu1Vvnl7I-77f4_sQek7JCSWkPR1TMCct6XvxAK1onQ3ZSPkQrYiUXSNaIR6jJ6V8IaTueL9Cv65AlznDHuKEk8O3_vMtdhm-zRDtgoOPoDP-7otNEHSZvMVujnbyKZaDXuPop-wDNGae9OAhAs6zMZCxTfsxzXHAZsFzmLIud68ygp1yqsBxeYoeOR0KPLufa_Tp7fnHs4tmd729PHu9ayzrWtEwyTaitWYgbJBGGkGAd5zozm4chYFryZhsYeh4C4R1rHOcc02o4c71QClbo5dH7phTTVYmta-JIAQdIc1FtT0XQlTKGr06Cm39Ycng1Jj9XudFUaIODatDw-qu4Sp-cU_Vxergso7Wl38OyQSR5HCdHnU_ak_Lf4jq_fXuzR92c_T4MsHPvx6dvypRA3J1826rLrZbSXc3H9QV-w3q-p2r</recordid><startdate>20070101</startdate><enddate>20070101</enddate><creator>Alvarez, Guillermo A.</creator><creator>Quintero, Miguel W.</creator><creator>Eckert-Kastner, Susanne</creator><creator>Alshuth, Thomas</creator><creator>Reinecke, Helmut</creator><general>Wiley Subscription Services, Inc., A Wiley Company</general><general>Wiley</general><scope>BSCLL</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7U5</scope><scope>8FD</scope><scope>JG9</scope><scope>L7M</scope></search><sort><creationdate>20070101</creationdate><title>Measurement of high frequency linear viscoelastic functions of a nitrile-butadiene rubber compound by ultrasound spectroscopy</title><author>Alvarez, Guillermo A. ; Quintero, Miguel W. ; Eckert-Kastner, Susanne ; Alshuth, Thomas ; Reinecke, Helmut</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3726-383462cbd03d8b8b60e5750a7c4f1ed5a83382ed752e03737f555a01b5ff9e113</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2007</creationdate><topic>Applied sciences</topic><topic>complex bulk modulus</topic><topic>Exact sciences and technology</topic><topic>glass transition</topic><topic>linear viscoelastic functions</topic><topic>nitrile-butadiene rubber compound</topic><topic>Organic polymers</topic><topic>Physicochemistry of polymers</topic><topic>Properties and characterization</topic><topic>Rheology and viscoelasticity</topic><topic>time-temperature superposition</topic><topic>ultrasound spectroscopy</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Alvarez, Guillermo A.</creatorcontrib><creatorcontrib>Quintero, Miguel W.</creatorcontrib><creatorcontrib>Eckert-Kastner, Susanne</creatorcontrib><creatorcontrib>Alshuth, Thomas</creatorcontrib><creatorcontrib>Reinecke, Helmut</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of polymer science. Part B, Polymer physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Alvarez, Guillermo A.</au><au>Quintero, Miguel W.</au><au>Eckert-Kastner, Susanne</au><au>Alshuth, Thomas</au><au>Reinecke, Helmut</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Measurement of high frequency linear viscoelastic functions of a nitrile-butadiene rubber compound by ultrasound spectroscopy</atitle><jtitle>Journal of polymer science. Part B, Polymer physics</jtitle><addtitle>J. Polym. Sci. B Polym. Phys</addtitle><date>2007-01-01</date><risdate>2007</risdate><volume>45</volume><issue>1</issue><spage>91</spage><epage>102</epage><pages>91-102</pages><issn>0887-6266</issn><eissn>1099-0488</eissn><coden>JPLPAY</coden><abstract>The storage and loss components of the complex wave modulus, M*(ω), measured on a nitrile‐butadiene rubber compound (NBR‐DIN 53538) by ultrasound spectroscopy at a temperature of 293.2 K, were combined with the components of the complex shear modulus, G*(ω), measured on the same sample in a commercial Rheometric Scientific ARES instrument with torsion geometry at different frequencies and temperatures, and superposed in a master plot using the time–temperature superposition principle. From the combined measurements the components of the complex bulk modulus, K*(ω), were obtained by means of the exact formula M*(ω) = K*(ω) + (4/3)G*(ω). Some of the features of the complex bulk modulus reported in the literature for polymeric materials are confirmed for the NBR‐DIN mixture. The maxima in G″(ω) and K″(ω) are separated by more than one order of magnitude in the frequency scale and furthermore, the shapes of the peaks are different. The simple idea, that, for many polymers, the mechanisms for relaxation in shear and in bulk are of the same basic nature appears not to be supported by the present data. © 2006 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 45: 91–102, 2007</abstract><cop>Hoboken</cop><pub>Wiley Subscription Services, Inc., A Wiley Company</pub><doi>10.1002/polb.20996</doi><tpages>12</tpages></addata></record> |
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subjects | Applied sciences complex bulk modulus Exact sciences and technology glass transition linear viscoelastic functions nitrile-butadiene rubber compound Organic polymers Physicochemistry of polymers Properties and characterization Rheology and viscoelasticity time-temperature superposition ultrasound spectroscopy |
title | Measurement of high frequency linear viscoelastic functions of a nitrile-butadiene rubber compound by ultrasound spectroscopy |
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