A Novel Approach to Describe the Time–Temperature Conversion among Relaxation Curves of Viscoelastic Materials
Time and temperature, besides pressure in a lesser extent, represent the most significant variables influencing the rheological behavior of viscoelastic materials. These magnitudes are each other related through the well-known Time–Temperature Superposition (TTS) principle, which allows the master c...
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2020-04-01
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| Online Access: | https://www.mdpi.com/1996-1944/13/8/1809 |
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| author | Adrián Álvarez-Vázquez Alfonso Fernández-Canteli Enrique Castillo Ron Pelayo Fernández Fernández Miguel Muñiz-Calvente María Jesús Lamela Rey |
| author_facet | Adrián Álvarez-Vázquez Alfonso Fernández-Canteli Enrique Castillo Ron Pelayo Fernández Fernández Miguel Muñiz-Calvente María Jesús Lamela Rey |
| author_sort | Adrián Álvarez-Vázquez |
| collection | DOAJ |
| description | Time and temperature, besides pressure in a lesser extent, represent the most significant variables influencing the rheological behavior of viscoelastic materials. These magnitudes are each other related through the well-known Time–Temperature Superposition (TTS) principle, which allows the master curve referred to relaxation (or creep) behavior to be derived as a material characteristic. In this work, a novel conversion law to interrelate relaxation curves at different temperatures is proposed by assuming they to be represented by statistical cumulative distribution functions of the normal or Gumbel family. The first alternative responds to physical considerations while the latter implies the fulfillment of extreme value conditions. Both distributions are used to illustrate the suitability of the model when applied to reliable derivation of the master curve of Polyvinil–Butyral (PVB) from data of experimental programs. The new approach allows not only the TTS shift factors to be estimated by a unique step, but the whole family of viscoelastic master curves to be determined for the material at any temperature. This represents a significant advance in the characterization of viscoelastic materials and, consequently, in the application of the TTS principle to practical design of viscoelastic components. |
| first_indexed | 2024-03-10T20:32:16Z |
| format | Article |
| id | doaj.art-bf46c0cdc435408eb8dc8f7adba5c32f |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-10T20:32:16Z |
| publishDate | 2020-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-bf46c0cdc435408eb8dc8f7adba5c32f2023-11-19T21:22:08ZengMDPI AGMaterials1996-19442020-04-01138180910.3390/ma13081809A Novel Approach to Describe the Time–Temperature Conversion among Relaxation Curves of Viscoelastic MaterialsAdrián Álvarez-Vázquez0Alfonso Fernández-Canteli1Enrique Castillo Ron2Pelayo Fernández Fernández3Miguel Muñiz-Calvente4María Jesús Lamela Rey5Department of Construction and Manufacturing Engineering, University of Oviedo, 33203 Gijón, SpainDepartment of Construction and Manufacturing Engineering, University of Oviedo, 33203 Gijón, SpainRoyal Academy of Engineering of Spain, don Pedro 10, 28005 Madrid, SpainDepartment of Construction and Manufacturing Engineering, University of Oviedo, 33203 Gijón, SpainDepartment of Construction and Manufacturing Engineering, University of Oviedo, 33203 Gijón, SpainDepartment of Construction and Manufacturing Engineering, University of Oviedo, 33203 Gijón, SpainTime and temperature, besides pressure in a lesser extent, represent the most significant variables influencing the rheological behavior of viscoelastic materials. These magnitudes are each other related through the well-known Time–Temperature Superposition (TTS) principle, which allows the master curve referred to relaxation (or creep) behavior to be derived as a material characteristic. In this work, a novel conversion law to interrelate relaxation curves at different temperatures is proposed by assuming they to be represented by statistical cumulative distribution functions of the normal or Gumbel family. The first alternative responds to physical considerations while the latter implies the fulfillment of extreme value conditions. Both distributions are used to illustrate the suitability of the model when applied to reliable derivation of the master curve of Polyvinil–Butyral (PVB) from data of experimental programs. The new approach allows not only the TTS shift factors to be estimated by a unique step, but the whole family of viscoelastic master curves to be determined for the material at any temperature. This represents a significant advance in the characterization of viscoelastic materials and, consequently, in the application of the TTS principle to practical design of viscoelastic components.https://www.mdpi.com/1996-1944/13/8/1809viscoelastic behaviorrelaxation curvesmaster curveshift factorstime–temperature superposition principle |
| spellingShingle | Adrián Álvarez-Vázquez Alfonso Fernández-Canteli Enrique Castillo Ron Pelayo Fernández Fernández Miguel Muñiz-Calvente María Jesús Lamela Rey A Novel Approach to Describe the Time–Temperature Conversion among Relaxation Curves of Viscoelastic Materials Materials viscoelastic behavior relaxation curves master curve shift factors time–temperature superposition principle |
| title | A Novel Approach to Describe the Time–Temperature Conversion among Relaxation Curves of Viscoelastic Materials |
| title_full | A Novel Approach to Describe the Time–Temperature Conversion among Relaxation Curves of Viscoelastic Materials |
| title_fullStr | A Novel Approach to Describe the Time–Temperature Conversion among Relaxation Curves of Viscoelastic Materials |
| title_full_unstemmed | A Novel Approach to Describe the Time–Temperature Conversion among Relaxation Curves of Viscoelastic Materials |
| title_short | A Novel Approach to Describe the Time–Temperature Conversion among Relaxation Curves of Viscoelastic Materials |
| title_sort | novel approach to describe the time temperature conversion among relaxation curves of viscoelastic materials |
| topic | viscoelastic behavior relaxation curves master curve shift factors time–temperature superposition principle |
| url | https://www.mdpi.com/1996-1944/13/8/1809 |
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