A Combined Exponential-Power-Law Method for Interconversion between Viscoelastic Functions of Polymers and Polymer-Based Materials
Understanding and modeling the viscoelastic behavior of polymers and polymer-based materials for a wide range of quasistatic and high strain rates is of great interest for applications in which they are subjected to mechanical loads over a long time of operation, such as the self-weight or other sta...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-12-01
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| Series: | Polymers |
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| Online Access: | https://www.mdpi.com/2073-4360/12/12/3001 |
| _version_ | 1797544527018328064 |
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| author | Vitor Dacol Elsa Caetano João R. Correia |
| author_facet | Vitor Dacol Elsa Caetano João R. Correia |
| author_sort | Vitor Dacol |
| collection | DOAJ |
| description | Understanding and modeling the viscoelastic behavior of polymers and polymer-based materials for a wide range of quasistatic and high strain rates is of great interest for applications in which they are subjected to mechanical loads over a long time of operation, such as the self-weight or other static loads. The creep compliance and relaxation functions used in the characterization of the mechanical response of linear viscoelastic solids are traditionally determined by conducting two separate experiments—creep tests and relaxation tests. This paper first reviews the steps involved in conducting the interconversion between creep compliance and relaxation modulus in the time domain, illustrating that the relaxation modulus can be obtained from the creep compliance. This enables the determination of the relaxation modulus from the results of creep tests, which can be easily performed in pneumatic equipment or simple compression devices and are less costly than direct relaxation tests. Some existing methods of interconversion between the creep compliance and the relaxation modulus for linear viscoelastic materials are also presented. Then, a new approximate interconversion scheme is introduced using a convenient Laplace transform and an approximated Gamma function to convert the measured creep compliance to the relaxation modulus. To demonstrate the accuracy of the fittings obtained with the method proposed, as well as its ease of implementation and general applicability, different experimental data from the literature are used. |
| first_indexed | 2024-03-10T14:01:48Z |
| format | Article |
| id | doaj.art-2d0842bc50cc47b68ae917272c1cbc9f |
| institution | Directory Open Access Journal |
| issn | 2073-4360 |
| language | English |
| last_indexed | 2024-03-10T14:01:48Z |
| publishDate | 2020-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Polymers |
| spelling | doaj.art-2d0842bc50cc47b68ae917272c1cbc9f2023-11-21T01:03:11ZengMDPI AGPolymers2073-43602020-12-011212300110.3390/polym12123001A Combined Exponential-Power-Law Method for Interconversion between Viscoelastic Functions of Polymers and Polymer-Based MaterialsVitor Dacol0Elsa Caetano1João R. Correia2CONSTRUCT (ViBEST), Faculty of Engineering (FEUP), University of Porto, 4200-465 Porto, PortugalCONSTRUCT (ViBEST), Faculty of Engineering (FEUP), University of Porto, 4200-465 Porto, PortugalCERIS, DECivil, IST, University of Lisbon, 1049-001 Lisbon, PortugalUnderstanding and modeling the viscoelastic behavior of polymers and polymer-based materials for a wide range of quasistatic and high strain rates is of great interest for applications in which they are subjected to mechanical loads over a long time of operation, such as the self-weight or other static loads. The creep compliance and relaxation functions used in the characterization of the mechanical response of linear viscoelastic solids are traditionally determined by conducting two separate experiments—creep tests and relaxation tests. This paper first reviews the steps involved in conducting the interconversion between creep compliance and relaxation modulus in the time domain, illustrating that the relaxation modulus can be obtained from the creep compliance. This enables the determination of the relaxation modulus from the results of creep tests, which can be easily performed in pneumatic equipment or simple compression devices and are less costly than direct relaxation tests. Some existing methods of interconversion between the creep compliance and the relaxation modulus for linear viscoelastic materials are also presented. Then, a new approximate interconversion scheme is introduced using a convenient Laplace transform and an approximated Gamma function to convert the measured creep compliance to the relaxation modulus. To demonstrate the accuracy of the fittings obtained with the method proposed, as well as its ease of implementation and general applicability, different experimental data from the literature are used.https://www.mdpi.com/2073-4360/12/12/3001viscoelasticitycreep and relaxationinterconversionstages of creepmechanical analysismechanical characterization |
| spellingShingle | Vitor Dacol Elsa Caetano João R. Correia A Combined Exponential-Power-Law Method for Interconversion between Viscoelastic Functions of Polymers and Polymer-Based Materials Polymers viscoelasticity creep and relaxation interconversion stages of creep mechanical analysis mechanical characterization |
| title | A Combined Exponential-Power-Law Method for Interconversion between Viscoelastic Functions of Polymers and Polymer-Based Materials |
| title_full | A Combined Exponential-Power-Law Method for Interconversion between Viscoelastic Functions of Polymers and Polymer-Based Materials |
| title_fullStr | A Combined Exponential-Power-Law Method for Interconversion between Viscoelastic Functions of Polymers and Polymer-Based Materials |
| title_full_unstemmed | A Combined Exponential-Power-Law Method for Interconversion between Viscoelastic Functions of Polymers and Polymer-Based Materials |
| title_short | A Combined Exponential-Power-Law Method for Interconversion between Viscoelastic Functions of Polymers and Polymer-Based Materials |
| title_sort | combined exponential power law method for interconversion between viscoelastic functions of polymers and polymer based materials |
| topic | viscoelasticity creep and relaxation interconversion stages of creep mechanical analysis mechanical characterization |
| url | https://www.mdpi.com/2073-4360/12/12/3001 |
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