Wave Attenuation in 1-D Viscoelastic Phononic Crystal Rods Using Different Polymers
The elastic wave attenuation in artificial composites, known as phononic crystals (PnCs), is an important topic in the context of wave manipulation. However, there is a lack of knowledge in the obtainment of the wave attenuation of PnCs when the viscoelastic effect of different polymers is considere...
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| Format: | Article |
| Language: | English |
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Associação Brasileira de Metalurgia e Materiais (ABM); Associação Brasileira de Cerâmica (ABC); Associação Brasileira de Polímeros (ABPol)
2023-06-01
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| Series: | Materials Research |
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| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1516-14392023000200220&tlng=en |
| _version_ | 1797791371452481536 |
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| author | Vinícius Braga Santos de Oliveira Lucas Franco Corrêa Schalcher José Maria Campos Dos Santos Edson Jansen Pedrosa de Miranda Jr. |
| author_facet | Vinícius Braga Santos de Oliveira Lucas Franco Corrêa Schalcher José Maria Campos Dos Santos Edson Jansen Pedrosa de Miranda Jr. |
| author_sort | Vinícius Braga Santos de Oliveira |
| collection | DOAJ |
| description | The elastic wave attenuation in artificial composites, known as phononic crystals (PnCs), is an important topic in the context of wave manipulation. However, there is a lack of knowledge in the obtainment of the wave attenuation of PnCs when the viscoelastic effect of different polymers is considered. In this study, the complex band structure of longitudinal waves in 1-D viscoelastic PnC (VPnC) rods composed by steel inclusions (elastic material) in a polymeric matrix (viscoelastic material) is investigated. The viscoelastic effect is modelled by the standard linear solid model (SLSM), which can be used to closely model the behavior of polymers for practical applications. It is also studied the influence of different polymers (i.e., epoxy, nylon, silicon rubber, natural rubber, and low density polyethylene (LDPE)) on the complex band structure of 1-D VPnC rods. The improved plane wave expansion (IPWE) and extended plane wave expansion (EPWE) are used to compute the band structure. It is observed that the viscoelastic effect influences significantly both the propagating and evanescent waves. The viscoelasticity increases the unit cell wave attenuation for most range of frequency considering all polymeric matrices. The highest unit cell wave attenuation is for the polymeric matrix of natural rubber. |
| first_indexed | 2024-03-13T02:17:50Z |
| format | Article |
| id | doaj.art-38b473966d7546ff9242f6f4917b14f7 |
| institution | Directory Open Access Journal |
| issn | 1516-1439 |
| language | English |
| last_indexed | 2024-03-13T02:17:50Z |
| publishDate | 2023-06-01 |
| publisher | Associação Brasileira de Metalurgia e Materiais (ABM); Associação Brasileira de Cerâmica (ABC); Associação Brasileira de Polímeros (ABPol) |
| record_format | Article |
| series | Materials Research |
| spelling | doaj.art-38b473966d7546ff9242f6f4917b14f72023-06-30T11:00:18ZengAssociação Brasileira de Metalurgia e Materiais (ABM); Associação Brasileira de Cerâmica (ABC); Associação Brasileira de Polímeros (ABPol)Materials Research1516-14392023-06-0126suppl 110.1590/1980-5373-mr-2022-0534Wave Attenuation in 1-D Viscoelastic Phononic Crystal Rods Using Different PolymersVinícius Braga Santos de OliveiraLucas Franco Corrêa SchalcherJosé Maria Campos Dos SantosEdson Jansen Pedrosa de Miranda Jr.https://orcid.org/0000-0003-1100-9169The elastic wave attenuation in artificial composites, known as phononic crystals (PnCs), is an important topic in the context of wave manipulation. However, there is a lack of knowledge in the obtainment of the wave attenuation of PnCs when the viscoelastic effect of different polymers is considered. In this study, the complex band structure of longitudinal waves in 1-D viscoelastic PnC (VPnC) rods composed by steel inclusions (elastic material) in a polymeric matrix (viscoelastic material) is investigated. The viscoelastic effect is modelled by the standard linear solid model (SLSM), which can be used to closely model the behavior of polymers for practical applications. It is also studied the influence of different polymers (i.e., epoxy, nylon, silicon rubber, natural rubber, and low density polyethylene (LDPE)) on the complex band structure of 1-D VPnC rods. The improved plane wave expansion (IPWE) and extended plane wave expansion (EPWE) are used to compute the band structure. It is observed that the viscoelastic effect influences significantly both the propagating and evanescent waves. The viscoelasticity increases the unit cell wave attenuation for most range of frequency considering all polymeric matrices. The highest unit cell wave attenuation is for the polymeric matrix of natural rubber.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1516-14392023000200220&tlng=enPeriodic structurescomplex band structureviscoelasticityband gapsvibration attenuation |
| spellingShingle | Vinícius Braga Santos de Oliveira Lucas Franco Corrêa Schalcher José Maria Campos Dos Santos Edson Jansen Pedrosa de Miranda Jr. Wave Attenuation in 1-D Viscoelastic Phononic Crystal Rods Using Different Polymers Materials Research Periodic structures complex band structure viscoelasticity band gaps vibration attenuation |
| title | Wave Attenuation in 1-D Viscoelastic Phononic Crystal Rods Using Different Polymers |
| title_full | Wave Attenuation in 1-D Viscoelastic Phononic Crystal Rods Using Different Polymers |
| title_fullStr | Wave Attenuation in 1-D Viscoelastic Phononic Crystal Rods Using Different Polymers |
| title_full_unstemmed | Wave Attenuation in 1-D Viscoelastic Phononic Crystal Rods Using Different Polymers |
| title_short | Wave Attenuation in 1-D Viscoelastic Phononic Crystal Rods Using Different Polymers |
| title_sort | wave attenuation in 1 d viscoelastic phononic crystal rods using different polymers |
| topic | Periodic structures complex band structure viscoelasticity band gaps vibration attenuation |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1516-14392023000200220&tlng=en |
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