The Payne effect revisited
Measurements of the storage modulus, μ', vs. strain amplitude, u, for highly filled rubbers exhibit a pronounced decrease of μ' with increasing u. Unfilled rubbers do not show this so called Payne effect. Even though the effect is known since the 1940s, it continues to play a significant r...
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| Language: | English |
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Budapest University of Technology and Economics
2017-04-01
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| Series: | eXPRESS Polymer Letters |
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| Online Access: | http://www.expresspolymlett.com/letolt.php?file=EPL-0007738&mi=cd |
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| author | R. Hentschke |
| author_facet | R. Hentschke |
| author_sort | R. Hentschke |
| collection | DOAJ |
| description | Measurements of the storage modulus, μ', vs. strain amplitude, u, for highly filled rubbers exhibit a pronounced decrease of μ' with increasing u. Unfilled rubbers do not show this so called Payne effect. Even though the effect is known since the 1940s, it continues to play a significant role in the research community focusing on rubber materials in general and automobile tires in particular. The key problem is the elucidation of the dependence of the Payne effect on the chemical composition of the rubber material. Based on a scaling approach we derive the functional form μ' (u,T) – μ'(∞,T) ∝ (1 – (D/d)u)–(σ –df + 1)g(T), where the parameters D/d and σ – df + 1 are directly related to the filler network structure. In addition, we explain the temperature dependence of the Payne effect, g(T), in terms of a distribution of activation energies corresponding to different types of filler-filler interactions. Finally, the model is extended to describe the attendant amplitude dependence of the loss modulus. |
| format | Article |
| id | doaj-art-8ebd2e986915458e8b3b4376056d9e59 |
| institution | DOAJ |
| issn | 1788-618X |
| language | English |
| publishDate | 2017-04-01 |
| publisher | Budapest University of Technology and Economics |
| record_format | Article |
| series | eXPRESS Polymer Letters |
| spelling | doaj-art-8ebd2e986915458e8b3b4376056d9e592025-08-20T02:52:09ZengBudapest University of Technology and EconomicseXPRESS Polymer Letters1788-618X2017-04-0111427829210.3144/expresspolymlett.2017.28The Payne effect revisitedR. HentschkeMeasurements of the storage modulus, μ', vs. strain amplitude, u, for highly filled rubbers exhibit a pronounced decrease of μ' with increasing u. Unfilled rubbers do not show this so called Payne effect. Even though the effect is known since the 1940s, it continues to play a significant role in the research community focusing on rubber materials in general and automobile tires in particular. The key problem is the elucidation of the dependence of the Payne effect on the chemical composition of the rubber material. Based on a scaling approach we derive the functional form μ' (u,T) – μ'(∞,T) ∝ (1 – (D/d)u)–(σ –df + 1)g(T), where the parameters D/d and σ – df + 1 are directly related to the filler network structure. In addition, we explain the temperature dependence of the Payne effect, g(T), in terms of a distribution of activation energies corresponding to different types of filler-filler interactions. Finally, the model is extended to describe the attendant amplitude dependence of the loss modulus.http://www.expresspolymlett.com/letolt.php?file=EPL-0007738&mi=cdRubbernano-compositereinforcementmechanical propertiesmodelling |
| spellingShingle | R. Hentschke The Payne effect revisited eXPRESS Polymer Letters Rubber nano-composite reinforcement mechanical properties modelling |
| title | The Payne effect revisited |
| title_full | The Payne effect revisited |
| title_fullStr | The Payne effect revisited |
| title_full_unstemmed | The Payne effect revisited |
| title_short | The Payne effect revisited |
| title_sort | payne effect revisited |
| topic | Rubber nano-composite reinforcement mechanical properties modelling |
| url | http://www.expresspolymlett.com/letolt.php?file=EPL-0007738&mi=cd |
| work_keys_str_mv | AT rhentschke thepayneeffectrevisited AT rhentschke payneeffectrevisited |