Modelling of Creep and Stress Relaxation Test of a Polypropylene Microfibre by Using Fraction-Exponential Kernel
A tensile test until breakage and a creep and relaxation test on a polypropylene fibre are carried out and the resulting creep and stress relaxation curves are fit by a model adopting a fraction-exponential kernel in the viscoelastic operator. The models using fraction-exponential functions are simp...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Modelling and Simulation in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2016/3823047 |
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| _version_ | 1832548863942066176 |
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| author | Andrea Sorzia |
| author_facet | Andrea Sorzia |
| author_sort | Andrea Sorzia |
| collection | DOAJ |
| description | A tensile test until breakage and a creep and relaxation test on a polypropylene fibre are carried out and the resulting creep and stress relaxation curves are fit by a model adopting a fraction-exponential kernel in the viscoelastic operator. The models using fraction-exponential functions are simpler than the complex ones obtained from combination of dashpots and springs and, furthermore, are suitable for fitting experimental data with good approximation allowing, at the same time, obtaining inverse Laplace transform in closed form. Therefore, the viscoelastic response of polypropylene fibres can be modelled straightforwardly through analytical methods. Addition of polypropylene fibres greatly improves the tensile strength of composite materials with concrete matrix. The proposed analytical model can be employed for simulating the mechanical behaviour of composite materials with embedded viscoelastic fibres. |
| format | Article |
| id | doaj-art-138283e096e34e73a6d0ddf46cdc2f4e |
| institution | Kabale University |
| issn | 1687-5591 1687-5605 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Modelling and Simulation in Engineering |
| spelling | doaj-art-138283e096e34e73a6d0ddf46cdc2f4e2025-02-03T06:12:49ZengWileyModelling and Simulation in Engineering1687-55911687-56052016-01-01201610.1155/2016/38230473823047Modelling of Creep and Stress Relaxation Test of a Polypropylene Microfibre by Using Fraction-Exponential KernelAndrea Sorzia0Dipartimento di Scienze e Metodi dell’Ingegneria (DISMI), Università di Modena e Reggio Emilia, 42122 Reggio Emilia, ItalyA tensile test until breakage and a creep and relaxation test on a polypropylene fibre are carried out and the resulting creep and stress relaxation curves are fit by a model adopting a fraction-exponential kernel in the viscoelastic operator. The models using fraction-exponential functions are simpler than the complex ones obtained from combination of dashpots and springs and, furthermore, are suitable for fitting experimental data with good approximation allowing, at the same time, obtaining inverse Laplace transform in closed form. Therefore, the viscoelastic response of polypropylene fibres can be modelled straightforwardly through analytical methods. Addition of polypropylene fibres greatly improves the tensile strength of composite materials with concrete matrix. The proposed analytical model can be employed for simulating the mechanical behaviour of composite materials with embedded viscoelastic fibres.http://dx.doi.org/10.1155/2016/3823047 |
| spellingShingle | Andrea Sorzia Modelling of Creep and Stress Relaxation Test of a Polypropylene Microfibre by Using Fraction-Exponential Kernel Modelling and Simulation in Engineering |
| title | Modelling of Creep and Stress Relaxation Test of a Polypropylene Microfibre by Using Fraction-Exponential Kernel |
| title_full | Modelling of Creep and Stress Relaxation Test of a Polypropylene Microfibre by Using Fraction-Exponential Kernel |
| title_fullStr | Modelling of Creep and Stress Relaxation Test of a Polypropylene Microfibre by Using Fraction-Exponential Kernel |
| title_full_unstemmed | Modelling of Creep and Stress Relaxation Test of a Polypropylene Microfibre by Using Fraction-Exponential Kernel |
| title_short | Modelling of Creep and Stress Relaxation Test of a Polypropylene Microfibre by Using Fraction-Exponential Kernel |
| title_sort | modelling of creep and stress relaxation test of a polypropylene microfibre by using fraction exponential kernel |
| url | http://dx.doi.org/10.1155/2016/3823047 |
| work_keys_str_mv | AT andreasorzia modellingofcreepandstressrelaxationtestofapolypropylenemicrofibrebyusingfractionexponentialkernel |